Drag each tile to the correct location. These graphs are all rational functions. Classify the graphs based on how many vertical asymptotes they have.

Drag Each Tile To The Correct Location. These Graphs Are All Rational Functions. Classify The Graphs

Answers

Answer 1

Step-by-step explanation:

a vertical asymptote goes up and down.

the horizontal ones (like the horizon) go left and right.

A

1 vertical asymptote at x = 0

B

2 vertical asymptotes at x = -1 and x = +1

C

no vertical asymptote (whatever vertical line you can think of, it will always really cross the graph in finite space)

D

1 vertical asymptote at x = 3

E

like A

F

2 vertical asymptotes at x = -1 and x = +4


Related Questions

the equation of the line in the graph is y = (blank) x+ (blank)

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: y=-x-1[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Taking two points : (-1 , 0) and (0 , -1)

[tex] \textsf{Calculate slope (m)} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{rise}{run} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{0 - ( - 1)}{ - 1 - 0} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{0 + 1}{ - 1}[/tex]

[tex]\qquad \tt \rightarrow \: m = - 1[/tex]

[tex] \textsf{Y - intercept (c) of graph = -1 } [/tex]

Equation of line in slope - intercept form :

[tex]\qquad \tt \rightarrow \: y = mx + c[/tex]

[tex]\qquad \tt \rightarrow \: y = - x - 1[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

What is the equation of the directrix of the parabola given by the equation y2 = -24x?

Answers

The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.

What is Directrix of a Parabola ?

A parabola is a U shaped curve whose all point are at same distnace from a  point called as focus and a line called as Directrix .

The equation of the parabola given is

y² = -24x

When the standard equation of parabola is

 (y - k)² = 4p (x - h),

where the focus is (h + p, k) and the directrix is x = h - p.

here h = 0

p = -24/4 = -6

x =  0 - (-6)

x = 6

Therefore Option D is the correct answer.

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The base of the pyramid is a rectangle that is not a
square. Which statements correctly describe the
symmetry of the pyramid? Check all that apply.
The pyramid has four planes of symmetry.
O The pyramid has two planes of symmetry.
An axis of symmetry passes through the vertex and
is perpendicular to the base.
An axis of symmetry passes through the vertex and
through one of the triangular faces of the pyramid.
An angle that measures 90° is an angle of rotation
for an axis of symmetry for the pyramid.
An angle that measures 45° is an angle of rotation
for an axis of symmetry for the pyramid.

Answers

An axis of symmetry passes through the vertex and is perpendicular to the base. Then the correct options are B, C, and E.

What is a rectangular pyramid?

Take a rectangle. This is the base. Now take 4 triangles such that each of them are connected to one-one side of the base rectangle and when they're taken together, they form a closed object. That shape is called rectangular pyramid.

The base of the pyramid is a rectangle that is not a square.

The pyramid has two planes of symmetry.

An axis of symmetry passes through the vertex and is perpendicular to the base.

An angle that measures 90° is an angle of rotation for an axis of symmetry for the pyramid.

Then the correct options are B, C, and E.

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(-3, 1)
-5-4-3
(-2,-4)
k
4
4
ob
1
2-
3+
(2/2)
What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
point (-3, 1)?
Oy-1= -2(x+3)
Oy-1=-(x+3)
Oy - 1 =
Oy-1 =
(x+3)
(x+3)

Answers

Answer:

What is the slope of the line represented by the equation y = y equals StartFraction 4 Over 5 EndFraction x minus 3.x – 3?

Step-by-step explanation:

The equation of line that is parallel to the given line having slope m = -1 and passes through the point ( -3 , 1 ) is y = -x - 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( -3 , 1 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

The slope of the line m = -1

Now , the line is parallel to the line passing through P

So , the slopes of the lines are equal

And , the equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 1 = -1 ( x - ( -3 ) )

y - 1 = -1 ( x + 3 )

Adding 1 on both sides , we get

y = -x - 3 + 1

y = -x - 2

Hence , the equation of line is y - 1 = -1 ( x + 3 )

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An amusement park charges $7 for adults, $2 for youths, and $0.50 for children. if 150 people enter and pay a total of $100, find the numbers of adults, youths, and children. [hint: these numbers are nonnegative integers.]

Answers

The number of adults are 2 . the number of youths are 8

Given charge $7 for adults , $2 for youth and $0.50 for children

Let the number of adults , youths and children be x , y and z

Now it is given that there is total pay of 100

Therefore the equation formed is

7x + 2y +0.50 = 100

Now it is also given that 150 people enter

Therefore

x+y+z=150

x+y+z =150

14x+4y+z=200

Using argument matrix

[tex]\left[\begin{array}{ccc}1&1&1\\14&4&1\end{array}\right] \left[\begin{array}{ccc}150\\200\end{array}\right][/tex]

Corresponding system equation is

x+y+z=150

y+(13/10)z=190

Take z = m (arbitary)

y = 190 - 1.3 m

x = 150 - y

m = 140 x = 2 and y = 8

Hence The number of adults are 2 . the number of youths are 8

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PLS I REALLY NEED HELP I NEED TO PASS THIS ASAP

Answers

The volume of the cylinder is 1692.46dm³.

How to calculate the volume?

It should be noted that the volume of a cylinder is calculated as:

= πr²h

r = radius = 7dm

h = height = 11dm

Volume = πr²h

Volume = 3.14 × 7² × 11

Volume = 3.14 × 49 × 11

Volume = 1692.46dm³

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a motorcyclist riding North along a straight road at 50 km per hour observes that the wind appeared to have a velocity of 50 km per hour from the direction North 60 degrees West what is the velocity of the wind.​

Answers

The velocity of the wind will be 50 km per hour.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

A motorcyclist riding North along a straight road at 50 km per hour observes that the wind appeared to have a velocity of 50 km per hour from the direction North 60 degrees West.

Then the velocity of the wind will be

Let x be the speed of the wind. Then we have

x² = 50² + 50² - 2 x 50 x 50 x cos 60°

x² = 2500 + 2500 - 2500

x² = 2500

x = 50 km per hour

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A hiking club is planning a hike in the mountains. They estimates that it will take 3.5 hours to walk 6km. How long will it takes the group to walk 24km?

Answers

Answer:

14

Step-by-step explanation:

First divide 24 and 6 to find how much 6's there are in 24.

24/6=4

Now, we take that number and multiply it by 3.5 to find how long it will take the group to walk 24km.

3.5*4=14.

It will take the group 14 hours to walk 24 km.

Hope this helps!

If not, I am sorry.

The dot plots below show the ages of students belonging to two groups of painting classes:

A dot plot shows two divisions labeled Group A and Group B. The horizontal axis is labeled as Age of Painting Students in years. Group A shows 1 dot at 9, 7 dots at 10, 8 dots at 15, 8 dots at 17, and 6 dots at 19. Group B shows 6 dots at 10, 5 dots at 14, 6 dots at 18, 5 dots at 25, 4 dots at 28, and 4 dots at 29.

Based on visual inspection, which group most likely has a lower mean age of painting students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.

Answers

Answer:

The group that is most likely able to have a lower mean age of painting students is Group A

Step-by-step explanation:

mean = sum of all terms divided by total number of terms

Looking at the graph data you have provided you can see that group A's students are a younger than students in Group B.

Which means when you calculate the mean the group which would give you the lower ratio with the same denominator of K (let there is K number of students in the class) will have lower mean age

here group A students are younger therefore their ratio will be lower

hence lower mean age

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I need help for solving y in this problem 2x -y =1​

Answers

Answer:

y = 2x - 1

Step-by-step explanation:

Given equation: 2x - y = 1

We're being asked to solve for y. This is also known as the Slope-Intercept Form. It is represented by the following formula:

y = mx + b

where:

m is the slopeb is the y-intercept (when x = 0)

Steps:

1. Subtract 2x from both sides:

[tex]\sf 2x-2x - y = 1-2x\\\\\implies-y=-2x+1[/tex]

2. Divide both sides by -1:

[tex]\sf \dfrac{-y}{-1}=\dfrac{-2x+1}{-1}\\\\\implies y=2x-1[/tex]

This equation has a slope of 2, and a y-intercept of -1.

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1. Given the points A (2, 14) and B (17, -6).

(a) Find the distance of the line AB.

(b) Find the midpoint of the line AB.

(c) Find the gradient of the line AB.

(d) Find the equation of the line AB.

(e) Find the equation of the line parallel to AB passing through the point (3,5).

(f) Find the equation of the line perpendicular to AB passing through point (4,-2).

(g) Draw the above 3 lines on a graph.

Answers

Answer:

Step-by-step explanation:

m∠DFG=(2x+6)° and m∠EFG=(3x−11)°. Find the value of x.

The figure shows straight angle D F E that consists of two angles, D F G and E F G.

Answers

Answer:

x = 37

Step-by-step explanation:

A straight angle is 180 degrees. That means ∠DFG & ∠EFG have to add together to be 180.

2x + 6 + 3x - 11 = 180     Combine like terms

5x - 5 = 180                   Add 5 to both sides

5x = 185                         Divide by 5

x = 37

∠DFG = 80°

∠EFG = 100°

A point P is 45km from Q in a bearing of 75⁰ how far is P north of Q ​

Answers

Answer:

11.65

Step-by-step explanation:

45 cos 75 (in degrees not radians) =

11.6468570296

jiskha

raka

Tomas learned that the product of the polynomials
(a + b)(a ab + bf) was a special pattern that would
result in a sum of cubes, a3 + b3. His teacher
put four
products on the board and asked the class to identify
which product would result in a sum of cubes if a =
2x and b = y

Answers

The product  that would result in a sum of cubes if a =2x and b = y is: (2x + y)(4x² – 2xy + y²).

Product that would result in a sum of cubes

Given:

Product of polynomials=(a + b)(a²- ab + b²)

Sum of cubes=a³+ b³

Hence,

a³+ b³ = (a + b) (a²-ab + b²)

When:

a=2x

y=b

So,

a³+ b³= (2x + y ) [ (2)² - (2x) (y) + y²)  

a³+ b³= (2x + y ) [ 4x² - 2xy + y²]  

a³+ b³ = (2x + y)(4x² – 2xy + y²)

Therefore the product  that would result in a sum of cubes if a =2x and b = y is: (2x + y)(4x² – 2xy + y²).

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You are heading to a drive-in movie and will need exact cash at the entrance for everyone in your car to get in. The cost is $6.50 per person. Write an expression that represents the total cash needed for your car based on the number of people, p, in your car.

Answers

Answer:

Using the concept of equation of line, we find that the relationship will be

C = $6.5p.

Step-by-step explanation:

If the cost per head is $6.5 and there are p persons entering the car, then the total amount would be $6.5p.

The final equation would resemble the equation of line y = mx + c.

The expression for the total cost C, would be

C = 6.5p.

Here y = C, x = p, m = 6.5 and c = 0.

So, the expression for the total cost will be the equation of line C = 6.5p.

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Which statement is true about the ordered pair (3 , 4)? A. To plot the ordered pair (3 , 4), travel four units to the right on the y-axis and three units up on the x-axis, from the origin. B. To plot the ordered pair (3 , 4), travel four units to the right on the x-axis and three units up on the y-axis, from the origin. C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin. D. To plot the ordered pair (3 , 4), travel three units to the right on the y-axis and four units up on the x-axis, from the origin.

Answers

Answer:

C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.

Step-by-step explanation:

Which statement is true about the ordered pair (3, 4)?

A. To plot the ordered pair (3 , 4), travel four units to the right on the y-axis and three units up on the x-axis, from the origin.

The y-axis is the vertical line you can't go left or right, you go up or down

Hence this answer is NOT correct

B. To plot the ordered pair (3 , 4), travel four units to the right on the x-axis and three units up on the y-axis, from the origin.

The coordinates of a point is (x, y) where x = 3 and y = 4 so moving right 4 units is wrong as x = 3

Hence this answer is NOT correct

C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.

three units to the right on the x-axis

four units up on the y-axis

Hence this answer is the correct

D. To plot the ordered pair (3 , 4), travel three units to the right on the y-axis and four units up on the x-axis, from the origin.

y does not equal 3 and you cant move right or left on the y-axis

Hence this answer is NOT correct

What is the area of this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

___ cm^2

Answers

Answer: 43.5

Step-by-step explanation:

[tex]A=\frac{1}{2}(8)(12)(\sin 65^{\circ}) \approx \boxed{43.5}[/tex]

Solve and show your work for each equation.

What is 0.36... (36 repeating) expressed as a fraction in its simplest form?
What is 0.36... (6 repeating) expressed as a fraction in its simplest form?

Answers

Answer:

The answer will be 9/25.

Please mark me as the brainliest.

4 /3 ​ r/ 6 ​ start fraction, 3, divided by, 4, end fraction, equals, start fraction, 6, divided by, r, end fraction r =

Answers

The value of r is 6

Given start fraction and end fraction are 4/3,r/6 and 3 divided by 4 end fraction which is equal to start fraction 6 divided by r end fraction  

We need to calculate the value of r

Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line.

It indicates how many equally sized pieces of the entire thing or collection were removed. The denominator is the quantity listed below the line. The total number of identical objects in a collection or the total number of equal sections that the whole is divided into are both displayed

According to the statement the equation formed

4/3*r/6*3/4 = 6/r

Solving the equation by 4/3*3/4 = 1

Hence 1*r/6 = 6/r

Therefore r^2 = 36

r = 6

Hence the value of r is 6

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A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.

Answers

It should be noted that the volume of the pyramid will be 14.8 unit³.

From the information given, the solid right pyramid has a regular hexagonal base with an area of 7.4 units².

The height of the pyramid is also 6 units.

Therefore, the volume of the pyramid will be

What is the formula for the area of the pyramid?

= 1/3 × Area of the base × height

= 1/3 × 7.4 × 6

= 14.8 units³

In conclusion, the volume of the pyramid is 14.8 unit³.

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Find the solution:
3x + 2y = 12
-2x + 3y = 5

Answers

Answer:

x = 3

y = 2

Step-by-step explanation:

3x + 2y = 12

-2x + 3y = 5 to find the solution we will use elimination method and for that, multiply second equation with 3 and the first equation with 2

2 * 3x + 2y = 12

6x + 4y = 24

3 * -2x + 3y = 5

-6x + 9y = 15  now find the sum of both equation:

6x + 4y  -6x + 9y = 24 + 15 add like terms

13y = 39 divide both sides by 13

y = 3 now that we found the value of y we can use this to calculate the value of x

3x + 2y = 12 replace y with 3

3x + 2*2 = 12

3x + 4 = 12 subtract 4 from both sides

3x = 9 divide both sides by 3

x = 3

Bookwork code: M29 Calculator allowed The circle below has centre U. BC and DE are tangents to this circle. Work out the size of angle 0. Give reasons for your answer. A 52° B O E Watch video D 27° 0 C Not drawn accurately A Bookwork code : M29 Calculator allowed The circle below has centre U. BC and DE are tangents to this circle . Work out the size of angle 0 . Give reasons for your answer . A 52 ° B O E Watch video D 27 ° 0 C Not drawn accurately A​

Answers

1) [tex]OA=OB[/tex] (all radii of a circle are equal)

2) [tex]\angle OBA=52^{\circ}[/tex] (angles opposite equal sides in a triangle are equal)

3) [tex]\angle OAB+\angle OBA+\angle AOB=180^{\circ}[/tex] (angles in a triangle add to 180 degrees)

4) [tex]52^{\circ}+52^{\circ}+\angle AOB=180^{\circ}[/tex] (substitution)

5) [tex]\angle AOB=76^{\circ}[/tex] (subtraction)

6) [tex]\angle AOB+\angle BOD=180^{\circ}[/tex] (angles on a line add to 180 degrees)

7) [tex]76^{\circ}+\angle BOD=180^{\circ}[/tex] (substitution)

8) [tex]\angle BOD=104^{\circ}[/tex] (subtraction)

9) [tex]\angle ODE=\angle OBC=90^{\circ}[/tex] (tangents are perpendicular to the radius of a circle at the point of tangency)

10) [tex]\angle ODC=117^{\circ}[/tex] (angle addition postulate)

11) [tex]\angle BOD+\angle OBC+\angle ODC+\angle DCB=360^{\circ}[/tex] (angles in a quadrilateral add to 360 degrees)

12) [tex]104^{\circ}+90^{\circ}+117^{\circ}+\theta=360^{\circ}[/tex] (substitution)

13) [tex]\theta=49^{\circ}[/tex] (subtraction)

Find the accumulated amount of an account if the principal amount was 5000 at 16% interest at the end of 3 years

Answers

Answer:

2400

Step-by-step explanation:

Find the accumulated amount of an account if the principal amount was 5000 at 16% interest at the end of 3 years

Solution

The formula for simple interest

S.I = P *R* T/100

Where P = Principal = 5000

           R = Rate = 16%

           T = Time = 3 years

 5000 * 16 * 3/100

 50 * 16 * 3

  = 2400.

Raphael graphed the system of equations shown.

y = – 3
y = x – 0.8

A coordinate grid with 2 lines. The first line passes through the points (0, negative 0.1) and (0.8, 0). The second line is horizontal passes through the point (0, negative 3). The lines intersect at a point with a coordinate of slightly to the left of negative 2 and negative 3.
What is the best approximation for the solution to this system of equations?

(–3.2, –3)
(–2.9, –3)
(–2.2, –3)
(–1.9, –3)

–3x + StartFraction one-half EndFractiony = –3

b =

2
4
6
8

Answers

Answer:

C. (-2.2, -3)

Need help urgently please

Answers

Answer:

x =  -12

y = 3

Step-by-step explanation:

[tex]1/2x + 6(x+15) = 12\\1/2x + 6x + 90 = 12\\6\frac{1}{2} x + 90 = 12\\6\frac{1}{2} x= -78\\x = -12[/tex]

[tex]y = x + 15\\y = -12 + 15\\y = 3[/tex]

The answers is x = -12

A car travels a distance of 300 miles along a straight road from point A to point B. The car maintains a speed of 30 miles pr
hour (mph) during the first 150 miles and a speed of 50 mph during the remaining 150 miles. What is the average speed of
car for the whole trip?
O20.0 mph
37.5 mph
40.0 mph
O45.0 mph
O80.0 mph
Click Save and Submit to save and submit. Click Save All Answers to save all answers.

Answers

Answer:

Definition: The average speed over the course of mobion can be calculated using the formula Total Distance Traveled Average Speed = Time of Travel A car fravels a distance of 300 miles along a straight road from point A to point B. The car maintains a speed of 30 miles per hour (mph) during the first 150 miles and a speed of 50 mph during the remaining 150 miles. What is the average speed of the car for the whole trip? 20.0 mph 37.5 mph 40.0 mph 45.0 mph 80.0 mph QUESTION 13 Wriat is the height h, of the equilateral triangle shown below? Aak Sareend Sabmit ro save and submit. Click Save AlAnseers to save all ansuers Save

Average speed of the whole trip is equals to 37.5 mph.

What is average speed?

" Average speed is defined as the ratio of the total distance travelled to the total time taken."

Formula used

Average speed = [tex]\frac{Total distance travelled }{Total time taken}[/tex]

According to the question,

Total distance travelled = 300miles

Speed for first 150 miles = 30 miles per hour

For,  30  miles = 1hour

    ⇒150 miles = 5 hours

Speed for remaining 150 miles = 50 miles per hour

For,  50  miles = 1hour

    ⇒150 miles = 3 hours

Substitute the value in the formula to get average speed,

Average speed = [tex]\frac{300miles}{(5 + 3)hours}[/tex]

                          [tex]=\frac{300}{8}\\ \\= 37.5 miles per hour[/tex]

Hence, average speed of the whole trip is equals to 37.5 mph.

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Y = 4x -2 and y = x +3

Answers

Answer:

(0.5,2) and (-3,3)

Step-by-step explanation:

Answer:

Y = 4x -2 is (0.5,2)

y = x +3 is (-3,3)

Is 937.5 as the same as 937.50 Answer the question.​

Answers

Is 937.5 as the same as 937.50 ?

• Yes , the number 937.5 is approximatelay round off 937.50 .
Yes it is just rounded

Which of the following are solutions to the equation below?

(2x+3)^2 = 10

Check all that apply.

Answers

Answer:

x = (√10  -3)/2  and (-√10  -3)/2

Step-by-step explanation:

(2x+3)^2 = 10

To solve the equation, take the square root of each side

sqrt((2x+3)^2) = ±√10

2x+3 = ±√10

Subtract 3 from each side

2x+3-3 = ±√10  -3

2x = ±√10  -3

Divide each side by 2

2x/2 = (±√10  -3)/2

x = (±√10  -3)/2

There are two solutions

x = (√10  -3)/2

and (-√10  -3)/2

       

Answer:

[tex]\large {\textsf{A and D}}\ \implies \sf \sf \bold{x_1}=\dfrac{-\sqrt{10}-3}{2},\ \bold{x_2}=\dfrac{\sqrt{10}-3}{2}[/tex]

Step-by-step explanation:

Given: (2x + 3)² = 10

In order to find the solutions to the given equation, we can take the (square) roots of the equation to find the zeros, which are also known as the x-intercepts. This is where the zeros intersect the x-axis.

Note: when taking the square roots of a quadratic equation, remember to use both the positive and negative roots.

Step 1: Square both sides of the equation.

[tex]\sf \sqrt{(2x + 3)^2} = \sqrt{10}\\\\\Rightarrow 2x+3=\pm\sqrt{10}[/tex]

Step 2: Separate into possible cases.

[tex]\sf x_1 \implies 2x+3=-\sqrt{10}\\\\x_2 \implies 2x+3=\sqrt{10}[/tex]

Step 3: Solve for x in both cases.

[tex]\sf \bold{x_1} \implies 2x+3=-\sqrt{10}\ \ \textsf{[ Subtract 3 from both sides. ]}\\\\\Rightarrow 2x+3-3=-\sqrt{10}-3\\\\\Rightarrow 2x=-\sqrt{10}-3\ \ \textsf{[ Divide both sides by 2. ]}\\\\\Rightarrow \dfrac{2x}{2}=\dfrac{-\sqrt{10}-3}{2}\\\\\Rightarrow x_1=\dfrac{-\sqrt{10}-3}{2}\\\\[/tex]

[tex]\sf \bold{x_2}\implies 2x+3=\sqrt{10}\ \ \textsf{[ Subtract 3 from both sides. ]}\\\\\Rightarrow 2x+3-3=\sqrt{10}-3\\\\\Rightarrow 2x=\sqrt{10}-3\ \ \textsf{[ Divide both sides by 2. ]}\\\\\Rightarrow \dfrac{2x}{2}=\dfrac{\sqrt{10}-3}{2}\\\\\Rightarrow x_2=\dfrac{\sqrt{10}-3}{2}[/tex]

Therefore, the solutions to this quadratic equation are: [tex]\sf \bold{x_1}=\dfrac{-\sqrt{10}-3}{2},\ \bold{x_2}=\dfrac{\sqrt{10}-3}{2}[/tex]

Learn more about quadratic equations here:
brainly.com/question/27031173

Find the measure of angle AEC.​

Answers

Answer:

∠ AEC = 49°

Step-by-step explanation:

the sum of the angles in Δ ACE = 180° , that is

∠ AEC + 90° + 41° = 180°

∠ AEC + 131° = 180° ( subtract 131° from both sides )

∠ AEC = 49°

Answer:

49°

Step-by-step explanation:

<AEC = 180°_(41°+90°)

=180°_131°

<AEC= 49°

**90° (Complementary Angles)**

[And if u add: 41°+90°+49°= 180°]

{180° is the area of all triangles}

Hope I helped :)

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