Lines RS, TV, and SW are shown. On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line T V goes through (negative 6, negative 4) and (8, negative 4). Line S W goes through (2, 6) and (2, negative 8). Which statements are true about these lines? Select three options. Line RS has a slope of 6. Line SW has an undefined slope. Line TV has a slope of 0. Lines RS and TV are parallel. Line SW is perpendicular to line RS, but not to line

Answers

Answer 1

Answer:

b, c, d.

Step-by-step explanation:

Answer 2

Statements 2) Line SW has an undefined slope, 3)Line TV has a slope of 0, and 4) Lines RS and TV are parallel are correct.

It is given that there are three lines RS, TV, and SW.

Line RS goes through (-8, 6) and (2, 6).

Line TV goes through (-6, -4) and (8, -4).

Line SW goes through (2, 6) and (2,-8).

It is required to find true statements.

Statements are:

Line RS has a slope of 6.Line SW has an undefined slope.Line TV has a slope of 0.Lines RS and TV are parallel.Line SW is perpendicular to line RS, but not to line TV.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]m=\frac{y_{2}-y_{1}}{{x_{2}-x_{1}}}[/tex]

Where [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] are points lie on the line.

1. Finding line RS slope by using the above formula:

   [tex]m=\frac{6-6}{2-(-8)}[/tex]

   [tex]m=0[/tex]

2. similarly finding line SW slope:

   [tex]m=[/tex] ∞

3. similarly finding line TV slope:

   [tex]m=0[/tex]

4. If the two lines are parallel then their slope will be equal.

   The slope of RS = The slope of TV.

   Hence RS and TV are parallel.

5. If two lines are perpendicular then their product of slope will be -1.

   Here we can see the product of the slope of SW and RS is not defined.

   Hence these two lines aren't perpendicular.

Therefore, statements 2, 3, and 4 are correct.

Learn more about the slope of the straight line.

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Related Questions

Four cubes are lined up to form a solid. The side lengths of the cubes are 2 ft, 3 ft 4 ft. and 5 ft. What is the volume of the solar A. 196 ft B 224 ft C.374 ft3 d 2,744ft3​

Answers

Answer:

A

Step-by-step explanation:

Bir telefona yüzden20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor

Answers

Answer:

English Translation from G o o g l e T r a n s l a t e:

After a 20 percent discount on a phone, a 10 percent discount is given on the discounted price.

Assume x is phone cost

.2x + .1x

.3x

Is that what you needed?

G o o g l e Çeviri:

Telefonda yüzde 20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor.

G o o g le Translate'den İngilizce Çeviri:

Telefonda yüzde 20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor.

X'in telefon maliyeti olduğunu varsayalım

.2x + .1x

.3x

İhtiyacın olan bu muydu?

Solve the inequality
6(

Answers

Answer:

Ummm, how are we suppose to answer that?

Step-by-step explanation:

Be more specific

If x=3

Arrange the list in an increasing order.

Answers

Answer:

It is already in an increasing order

1. 4x - 8 Highest

2. 3x - 2

3. 2x + 1

4. 1x - 0 Lowest

Step-by-step explanation:

1. 56

2. 25

3. 9

4. 1

What type of angles are 22 and 27?

Answers

Answer: B

Step-by-step explanation:

Because they are on opposite sides and they are outside the parallel lines

There is a population of 17 bacteria in a colony. If the number of bacteria doubles every 229 hours, what will the population be 458 hours from now?

Answers

Answer:

68

Step-by-step explanation:

Step 1: Divide the asked hours by hours need to double

Step 2: Double the initial number of the population as per the result from step 1.

First divide 458 by 229, you will get 2

Now you double the initial population number twice

so 17 * 2 = 34 and again 34 * 2 = 68

(look at screenshot)
Write an explicit rule and recursive rule for a geometric sequence with a second term of 6 and a third term of 12.

explicit:

recursive:

Answers

Answer:

Explicit : [tex]a_n=3(2)^{n-1}[/tex]

Recursive: a₁ = 1

                  [tex]a_n=a_{n-1}(2)[/tex]

Step-by-step explanation:

We have to write the recursive formula for the geometric sequence with second term 2 and third term 12.

Geometric sequence will be in the form of,

a, ar, ar², ar³,...........

Here, r = common ratio

a = first term of the sequence

Here, ar = 6 ------(1)

And ar² = 12 ------(2)

By dividing equation (2) by (1),

[tex]\frac{ar^2}{ar}=\frac{12}{6}[/tex]

r = 2

From equation (1),

a(2) = 6

a = 3

Recursive formula of a geometric sequence is given by,

a₁ = a

[tex]a_n=a_{n-1}(r)[/tex]

Therefore, for the given sequence,

a₁ = 1

[tex]a_n=a_{n-1}(2)[/tex]

Similarly, explicit formula of the geometric sequence is given by,

[tex]a_n=a_1(r)^{n-1}[/tex]

[tex]a_n=3(2)^{n-1}[/tex]


If cos A= -4/5 and A is in the second quadrant, then cos 2A = ?

Answers

Answer:

i think its second pythagreom therom

Step-by-step explanation:

because

What must be the sides of an equilateral triangle so that it's area should be equal to the area of an isosceles triangle with base 12m and equal sides 10m

Answers

Answer:

The sides of the equilateral triangle are 11.7 m.

Step-by-step explanation:

Let's find the area of the isosceles triangle:

[tex] A_{i} = \frac{bh}{2} [/tex]

Where:

b: is the base = 12 m

h: is the height

We can find the height by using Pitagoras:

[tex] x^{2} = \frac{b^{2}}{2} + h^{2} [/tex]    

Where:

x is the hypotenuse = side of the triangle = 10 m

[tex] h = \sqrt{x^{2} - \frac{b^{2}}{2}} = \sqrt{(10)^{2} - 6^{2}} = 8 m [/tex]

Then, the area is:

[tex] A_{i} = \frac{12*8}{2} = 48 m^{2} [/tex]

Now, since the area of the isosceles triangle is equal to the area of the equilateral triangle:

[tex] A_{e} = A_{i} = 48 m^{2} [/tex]

[tex] A_{e} = \frac{bh}{2} [/tex]

The height of the equilateral triangle is given by:

[tex] b^{2} = \frac{b^{2}}{2} + h^{2} [/tex]    

[tex] h = \sqrt{b^{2} - \frac{b^{2}}{2}} = \frac{b}{\sqrt{2}} [/tex]

Hence, the sides are:

[tex] A_{e} = \frac{1}{2}b\frac{b}{\sqrt{2}} = \frac{b^{2}}{2\sqrt{2}} [/tex]            

[tex] b = \sqrt{A*2\sqrt{2}} = \sqrt{48*2\sqrt{2}} = 11.7 m [/tex]      

Therefore, the sides of the equilateral triangle are 11.7 m.

I hope it helps you!      

Answer:

The sides must be  around     10.53 m

Step-by-step explanation:

You can calculate the area of isosceles  dividing into 2 equal right triangles

Once you know that the area of the isosceles is 48 m²,solve for the side of the equilateral triangle

Formula for the Area:    (A= area    a = side)

     

A = (√3* a² ) / 4

48= (√3* a² ) / 4

Multiply both sides by 4

192 =√3* a²

Divide both sides by√3               (   √3 = 1.732050....)

110.851303 =   a²

Square root on both sides

10 .5385...( 10.53 )  = a

Here it is , I have like 19 more to go

Answers

I’m not sure if I need to explain but I got c.

n ΔSTU, u = 720 inches, t = 630 inches and ∠T=7°. Find all possible values of ∠U, to the nearest degree.

DELTA MATH!!!!!!
Answer: 8

and 172

Answers

A denotes the angle that faces side a, and B denotes the angle that faces side b. To solve for b, we obtain: b = a / sin(B) (A)

what is angle ?

A geometric shape known as an angle is created when two rays or line segments come together to form its vertex. The two rays or line segments are known as the angle's sides. Angles are used to describe the orientation, direction, and position of lines and forms in geometry. They are commonly measured in degrees or radians. The magnitude of an angle can range from 0 degrees (representing no rotation) to 360 degrees depending on how much the two sides or rays are rotating (corresponding to a full rotation).

given

We may utilise the Law of Cosines to determine the potential values of U:

A2 + B2 - 2ab cos = c2 (C)

where a and b are the lengths of the other two sides, and c is the length of the side that faces angle C. We'll write c for the length of side SU and a for the length of side ST.

Based on the facts provided, we can:

a=630 inches

b = u (unknown) (unknown)

C = ∠T = 7°

We can apply the Law of Sines to determine the length of b:

B = a / sin = b / sin(B) (A)

where A denotes the angle that faces side a, and B denotes the angle that faces side b. To solve for b, we obtain: b = a / sin(B) (A) .

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will the standard form of 8.5*10 to the power of -3 be more or less than 1 ? explain the effect the negative exponent has.

Answers

Answer:

The answer is 0.0085 So I'm guessing less than one.

Julie's gross pay is $1,008.71. Her deductions total of $386.00 what is her net pay?

Answers

Answer:

i believe it is 622.71 im not sure tho

Step-by-step explanation:

Answer:

$622.71

Step-by-step explanation:

Net Pay = Gross Pay - Deductions

Net Pay = $1,008.71 - $386.00

Net Pay = $622.71

Leave a like if this helped

1. What is the equation of a parabola that has a vertex at (-2, 4) and goes through the point (0,8)?

Answers

Answer:

y - k = (x + 2)^2

Step-by-step explanation:

The vertex equation of a vertical parabola is

y - k = a(x - h)^2, where (h, k) is the vertex.

We are given h = -2, k = 4, x = 0 and y = 8 and need to find the value of a.

8 - 4 = a(0 + 2)^2, or

4 = 4a, so a must be 1.

Then the desired equation is:

y - k = (x + 2)^2

Change 20 m/s in km/h

Answers

the answer is: 72 km/h

Answer:

72km/h

Step-by-step explanation:

the formula of changing metres per second to km/h is 18/5 and kilometre per hour into metres per second is 5/8 in hope it helps.

Directions: Find the value of x.
Round angle measures to the nearest degree.

Answers

Given:

The figure of a right triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

In the given right triangle,

Hypotenuse = 15

Perpendicular = 12.5

Now,

[tex]\sin x^\circ=\dfrac{12.5}{15}[/tex]

[tex]\sin x^\circ=0.83333[/tex]

[tex]x^\circ=\sin^{-1}0.83333[/tex]

[tex]x^\circ =56.442345^\circ[/tex]

[tex]x\approx 56[/tex]

Therefore, the equation used to find x is [tex]\sin x^\circ=\dfrac{12.5}{15}[/tex] and the value of x is 56.

Please help?? I don't have that much time

Which terms are like terms? 2x, -3, 5b, 0

Answers

Answer:

-3 and 0 are like terms because both of them are numbers

Please please help me!!!!

Answers

Answer:

Q = (9, 4 )

Step-by-step explanation:

Use the midpoint formula and equate to the coordinates of the midpoint.

M = ([tex]\frac{x_{1}+x_{2} }{2}[/tex] ) , ([tex]\frac{y_{1}+y_{2} }{2}[/tex] )

let the coordinates of Q = (x, y ) , R = (- 7, 0 ) , then

[tex]\frac{x-7}{2}[/tex] = 1 ( multiply both sides by 2 )

x - 7 = 2 ( add 7 to both sides )

x = 9

and

[tex]\frac{y+0}{2}[/tex] = 2 ( multiply both sides by 2 )

y = 4

Thus Q = (9, 4 )

i need this done today
3 yards 2 feet = __________ ft

Answers

Answer:

11 feet

Step-by-step explanation:

3 yards equals 9 feet because there are 2 feet in one yard. 2*3=9

9+2= 11

I know the answer to this question but how many solutions does it have?

Answers

Answer:Hence, x = 5, y = 0 is the required solution.

Step-by-step explanation:

Answer:

There is only one solution

Step-by-step explanation:

Which value makes the equation 2x -4 = 16 true? *

Answers

Answer:

10 makes this equation true

Step-by-step explanation:

2x -4 = 16 /+4

2x= 20 /÷2

x= 10

Test

2(10) - 4 = 16

20 - 4 = 16 Correct

x = 10
Move the four to the right of the equal sign, and change it’s negative sign to a positive sign. Then, add 16 and 4. You will get 20. Then divide 2x and 20 by 2. You will get x = 10

Find the other endpoint of the line segment with the given endpoint and midpoint
Endpoint: (3,5)
Midpoint: (7, -2)

Answers

Answer:

The other endpoint is (11,-9)

Step-by-step explanation:

Midpoint Formula

[tex]\large\boxed{(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )}[/tex]

We already know the another endpoint which is (3,5). We substitute x = 3 and y = 5 in the formula. You can substitute in x1, x2 or y1, y2. I'll substitute in first x-term and first y-term instead.

[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]

Because sum of two x-coordinate (along with y-coordinate) divided by two must equal to the midpoint (Let's say that you get the value of midpoint when using midpoint formula.)

Solve the equation for both terms.

[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]

Cancel the denominator by multiplying the whole equation by 2.

[tex]\large{\begin{cases} \frac{3+x}{2}(2)=7(2)\\\frac{5+y}{2}(2)=-2(2) \end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}[/tex]

Isolate x-term and y-term.

[tex]\end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=14-3\\ y=-4-5 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=11\\ y=-9 \end{cases}}[/tex]

Therefore, when x = 11, y = -9. We can write in ordered pair as (11,-9). The ordered pair (11,-9) is our other endpoint of the line segment. This can be proved by using the distance formula between midpoint and endpoints.

Note: The distance of (3,5) and (7,-2) must equal to the distance of (11,-9) and (7,-2)

HELLPPP

Describe in words how to map AABC to its image
AAB'C'.

Answers

Answer:

Reflected across thhe Y-Axis (I think thats what your looking for)

_________ glands produce hormones that help regulate your response to stress.
1 point
reproductive
stomach
adrenal
thymus

Answers

Answer:

adrenal

Step-by-step explanation:

Answer:

adrenal glands produce hormones that help regulate your response to stress.

WHAT IS IT? ASAP pls! Brainpower and points

Answers

y=1/2x is the equation

The formula for the area of the shaded region on the diagram is: Area of the circle - Area of the square The area of the circle is 76.8 cm2 rounded to 1 decimal place. The area of the square is 12.7 cm2 truncated to 1 decimal place. Write the error interval for the area, a , of the shaded region in the form m < a < n .

Answers

The error interval for the area is 64.2< a < 63.93

What is error interval?

Error intervals are the limits of accuracy when a number has been rounded or truncated. They are the range of possible values that a number could have been before it was rounded or truncated.

Given:

Area of circle = 76.9 cm²

Area of square = 12.7 cm²

Now, 1 decimal point

Area of circle,

= 76.9+0.05   and  = 76.9-0.05

= 76.95           and  = 76.85

Area of square,

= 12.7-0.05    and  = 12.7+-0.05

=12.65          and = 12.75

Area of shaded region in the form m < a < n .

m= 76.95-12.75

m= 64.2

n=  76.85-12.65

n= 63.93

Area of shaded region is 64.2< a < 63.93.

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an someone please solve this -18=m+12

Answers

Answer:

m = ‐ 30

Step-by-step explanation:

it is because I say it is

The answer is neg 30 (-30).

Colin invests £1200 into his bank account. He
receives 3% per year compound interest. How
much will Colin have after 4 years?​

Answers

Answer:

1,344

Step-by-step explanation: So first I multiplied 1,200 by .03 because in order to multiply by a percent you need to move it decimal back two times. After you multiply 1200 x .03 = 36. Next you would do 36 x 4 for the 4 years and it would = 144. Then you would add 144 to the original because it's interest and you would end up with Colin having 1,344.

In the following graph is the zero located at -4 have an
even or odd multiplicity?

Answers

Answer:

Even multiplicity at x = -4

Step-by-step explanation:

If the graph of a function crosses x-axis then the multiplicity of the function at that zero will be odd.

If the graph touches the x-axis at a point then the function will have an even multiplicity at the particular zero.

From the given graph graph touches the x-axis at x = -4

Therefore, multiplicity of the function is even at x = -4

Calculate the area of a regular octagon if the radius is 10 cm long.

Answers

Answer:

Area is A≈282.8 cm  

Step-by-step explanation:

Answer:

A=2(1+ √2)a2

482.84271

Step-by-step explanation:

:))

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