Find the points of Intersection of these graphs
y = x^2 and y = x +6
I need the explanation and how the formula is thanks Ill give 35 points

Answers

Answer 1

Answer:

the line crosses the parabola at (-2,4) and (3,9)

Step-by-step explanation:

y=x^2

y=x+6

set them equal to each other

x^2=x+6, now set it equal to zero

x^2-x-6=0, now find the root

(x+2)(x-3)=0, the x=-2, and x=3; now substitute into any of the equation to find the points where graphs intercept

at x= -2, y=(-2)^2=4, so one point is (-2,4)

at x=3, y=(3)^2=9, so other point is (3,9)

the line crosses the parabola at (-2,4) and (3,9)


Related Questions

Find 3/8 of £42.plz show the correc working out

Answers

Answer:

3X (1/8) X 42. This is 126 X (1/8). Answer: 15 3/4

Step-by-step explanation:

Answer:

15.75

Step-by-step explanation:

42 / 8 = 5.25

5.25 x 3 = 15.75

You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week?

Answers

Answer:

319.68

Step-by-step explanation:

Is this any better for you guys

Answers

Answer:

According to the pattern, Samuel will swim 64 laps on Monday.

The pattern rule: Start at 88 and subtract 8 each time.

Explanation:

There is a clear pattern. 88 - 80 - 72. The number 8 is subtracted each time day after day. Since he is doing 8 laps less each day, it can be assumed that we subtract 8 from Sunday, which is 72.

72 - 8 = 64

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer as 'Brainliest.' It would really help. Have a great day! :)

Answer:

64 Laps

Step-by-step explanation:

It looks like the Samuel swam 8 less laps than the previous day.

88 - 8 = 80

80 - 8 = 72

So, we sohuld subtract 8 from 72.

72 - 8 = 64

Samuel should swim 64 laps on Monday.

Hope this helps!

Explain why 173 degrees cannot be an interior angle from any regular polygon.

Answers

173 cannot be an interior angle of any regular polygon because the number of sides would be negative.

Why can't the interior angle of the polygon be 173 degrees?

The formula that can be used to determine one of the one interior angle of an n-sided polygon is  [180(n−2)]/n .

In order to determine the value of n, take the following steps:

[180(n - 2) ]/ n = 173

Multiply both sides of the equation by n

180(n - 2) = 173n

Divide both sides by 180

n - 2 = 0.961111n

Combine similar terms

n - 0.96n = 2

0.038889n = 2

n = 51.4

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NEED HELP ASAP!!!! please! 25 points!

Answers

Answer: 2-4= -2

Step-by-step explanation: hope it helps

Answer: (0 + 2) + ( 2 - 4)

Step-by-step explanation:

1)What value for y makes the equation 2(y-4)+8=12+y true?
A. -6
B. 12
C. 6
D. 8


2)Which number below does not satisfy the given inequality: -4x - 6 > -14?
A. -4
B. -2
C. 0
D. 2

Answers

Answer:

1. Option B- y=12

2. Option D - 2

Step-by-step explanation:

1. 2(y - 4) + 8 = 12 + y

  2y - 8 + 8 = 12 + y

add like terms -8 + 8 is 0 so

2y = 12 + y

Subtract y

1y = 12

Divide by 1

y= 12

2. -4(2) - 6  > -14

    -8 - 6 > -14

      -14 > -14

    This is not true because -14 is not greater than -14, they are equal.

Hope this helps.

Suppose 36 gallons of water came out of a pipe in 9 minutes what was the rate in gallons per minute?

Answers

4 gallons a minute is the answer because 36 divided by 9 equals 4

WILL MARK BRAINLIESTS
and go on my last question please!

Answers

Answer:

125*125

Step-by-step explanation:

Pleaseeee help.
Will give extra points.
Brainliest to the one that explains well.


Find the equation of the circle with center (0,-6) and tangent to the x-axis.

Answers

X^2+(y+6)^2=36 you get this because you know the radius is six because it’s tangent to the x axis so six squares is 36 and you have the h and I given to you in the center

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

92 degrees

Step-by-step explanation:

<HEF and <AED are vertical angles.

How much should your average everyday coin weigh?

Answers

Answer:

About 0.080 ounces

A nickle weighs exactly 5.00 grams,

A cent weighs exactly 2.50 grams,

and so on...

what is 411, 600, 000 in scientific notation

Answers

Answer:

4.116 × 108

Step-by-step explanation:

I simply used a Scientific Notation Converter

Answer:

The answer would be 4.116 x 10 exponent of 8

Step-by-step explanation:

In scientific notation, the answer has to be between 1-10, so to make this number between one and ten, you must create a decimal behind the number in the one's place and move it until you get to the first number (in this case, you would move it eight times, so your equation would be 4.116 x 10 to the eight power (exponent of eight). If you need to round the number to the tenth place, it's 4.1 x 10^8

Hope this helps!

I need the answer now!!!!
(3c2 + 2d)(–5c2 + d)
Select all of the partial products for the multiplication problem above.

2d2

3cd3

–15c4

–10c2 d

–15c2

3c2 d

Answers


(3c² + 2d)(–5c² + d)-------->(3c²)*(-5c²)+(3c²)*(d)+(2d)*(-5c²)+(2d)*(d)
then
(3c²)*(-5c²)-------------> -15c^4
(3c²)*(d)----------------> +3dc²
(2d)*(-5c²)-------------> -10dc²
(2d)*(d)----------------> +2d²
[(3c² + 2d)(–5c² + d)]=[-15c^4+3dc²-10dc²+2d²]-------> [-15c^4-7dc²+2d²]

Answer:

A C D F

Step-by-step explanation:

edg 2020

solve (2x + 3) - (9x - 3)

Answers

Answer:

-7x + 6

Step-by-step explanation:

Plz help me with this question if you can also explain that would be great but you don’t have to

Answers

Answer:

I'm pretty sure it's D: y= 23x

Step-by-step explanation:

If the radius of the earth is approximately 3960 miles, what is the linear speed of a point on the equator in miles per hour. Round your answer to the nearest mph.
A. 1681 mph
B. 2073 mph
C. 840 mph
D. 1037

Pls show work

Answers

Answer:Section 6.1

Solutions and Hints

by Brent M. Dingle

for the book:

Precalculus, Mathematics for Calculus 4

th Edition

by James Stewart, Lothar Redlin and Saleem Watson.

If you remember nothing else from this section remember:

arc length = radius * angle

s = r * q

where the angle, q, is measured in radians.

There are other formulas, but that one is pretty important.

48. A circular arc of length 3 feet subtends a central angle of 25.

Find the radius of the circle.

Start with s = r*q , s = 3 feet, q = 25 = 25*(p/180) = (5/36)p radians

3 = r * (5/36)p Å 3*(36/5) = r*p Å 21.6 = p*r Å r = 21.6/p feet

52. Memphis, Tennessee and New Orleans Louisiana lie approximately on

the same meridian. Memphis has latitude 35 N and New Orleans 30 N.

Find the distance between the cities, given the radius of the earth is

3960 miles.

Again start with s = r*q,

with r = 3960 miles and q = 35 – 30 = 5 = 5*(p/180) = (1/36)p.

and we need to find s = arc length = distance between the cities.

s = 3960*(1/36)p = 110p miles.

60. A sector of a circle of radius 24 miles has an area of 288 square miles.

Find the central angle of the sector.

For this you need a new formula.

The area of a sector of circle = A = ½*r

2

*q ,

where q is the central angle of the sector measured in radians

and r of course is the radius of the circle.

For this problem r = 24 miles, A = 288 sq. miles and we need to find q.

288 = (½)*24

2

*q Å 288 = 288*q Å 1 radian = q (or about 57.3)

62. Three circles with radii 1, 2 and 3 feet are externally tangent to one

another. Find the area of the sector of the circle of radius 1 that is

cut off by the line segments joining the center of that circle to the

centers of the other two circles.

So you start out with:

Notice you know the length of ALL the sides of the triangle, because you know

the radius of each circle. From this you might discern that: 5

2

= 3

2

+ 4

2

. Thus you

have the (length of the hypotenuse)

2

= (length of side A)

2

+ (length of side B)

2

.

And from that you may conclude the triangle is a right triangle, or rather the angle

we are interested in is 90. Thus we use the area formula given in the text:

The area of a sector of circle = A = ½*r

2

*q ,

For this problem r = 1 foot, q = 90 = p/2, and we need to find A

A = ½ * 1

2

* p/2 = p/4 square feet.

Step-by-step explanation:

The linear speed of a point on the equator in miles per hour is 1037 mph. Therefore, option D is the correct answer.

Given that, the radius of the earth is approximately 3960 miles.

What is the linear speed?

Linear speed is the measure of the concrete distance travelled by a moving object. The speed with which an object moves in the linear path is termed linear speed. In easy words, it is the distance covered for a linear path in the given time. Linear Speed Formula is articulated as s=rθ/t.

Any point in the equator would complete a 360° or 2π, revolution in 24 hours. Therefore, the linear speed would be s=rθ/t.

where r is the radius of the Earth and θ is the angular distance (in rad) after time t

Hence, the linear speed would be

s= (3960×2π)/24

= (3960×2×3.14)/24

= 24868.8/24

= 1036.7

≈1037 mph

The linear speed of a point on the equator in miles per hour is 1037 mph. Therefore, option D is the correct answer.

Learn more about the linear speed here:

https://brainly.com/question/13100116.

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what points are solutions to the linear equality graph? Select all that apply.

A. (0,0)
B. (-1,2)
C. (-3,0)
D. (3,0)
E. (-4,-1)
F. (2,2)​

Answers

I think it’s B, C and E because they’re on the shaded region

A farmer collected 1,957 eggs from her chickens she puts them into a carton that each hold 48 eggs how many cartons will the farmer need to hold all of the eggs

Answers

Answer:

41 cartons will be needed

Step-by-step explanation:

here, we need to know the number of cartons the farmer needs to hold all the eggs

To calculate this, we simply make a division of the number of eggs by the number of eggs in a carton

That would be 1957/48 = 40.77

The closest number of cartons here is 41

Plzzzzzz help me with all 3 answers

Answers

Answer:

1) is arithmetic (because your adding 10)

2) is not arithmetic

3) is arithmetic ( because your adding 10)

Step-by-step explanation:

scott gained a total of 72 yards in his team's first football game of the season what intenger represents the average number of yards scott gained each quarter?​

Answers

Answer:

Scott gained 18 yards every quarter

Step-by-step explanation:

72 divided by 4 is equal to 18, so every 1/4 of a season he gained 18 yards.

How many is equivalent to 10/12

Answers

Answer:

10/12 =5/6

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

I believ you meant what is the simplest version of that fraction and that would be 5/6. Both 10 and 12 are divisable by 2 and 5 can not be reduced

A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?

Answers

Answer: B. Medium

Step-by-step explanation:

A.P.E.X

Answer:

A Medium

Step-by-step explanation:

AP. EX

Is 46 a number in the sequence generated by 5n + 1

Answers

Answer:

231

Step-by-step explanation:

5.46+1

230+1

231

answer this?

Answer:

yes

Step-by-step explanation:

Equate 5n + 1 and 46 to find n, that is

5n + 1 = 46 ( subtract 1 from both sides )

5n = 45 ( divide both sides by 5 )

n = 9

Thus 46 is the ninth term in the sequence

For g(x) = 12x – 2, evaluate g (1/4)

Answers

Replace x with 1/4 and solve:

12(1/4) - 2

3-2 =1

The answer is 1

Answer:

the answer is 1

Step-by-step explanation:

g(1/4)=12(1/4)-2

=12/4-2

=3-2

=1

How many centiliters are in 5 quarts? quarts Right-arrow liters Right-arrow centiliters StartFraction 5 quarts Over 1 EndFraction times StartFraction a Over b EndFraction times StartFraction c Over d EndFraction = 475 centiliters a = b = c = d =

Answers

Answer:

a =  0.95 liters

b = 1 quart

c = 100 centiliters

d = 1 liter

Step-by-step explanation:

on edge.

Answer:

A: 0.95 Liters

B: 1 quart

C: 100 centilitres

D: 1 Liter

Step-by-step explanation:

Got it right in edge 2020

Plz I'm sooooo confuzzled: If you reflect any shape across the x-axis and then across the y-axis, do you get the same result that you would if you rotated it 180° about the origin? What does that mean?

Answers

Answer:

the answer is true

Step-by-step explanation:

If the shape is in the upper left quadrant then you reflect it across the x-axis it would be in the lower left quadrant, next you reflect across the y-axis it would be in the lower right quadrant, finally, if you rotate it 180 degrees it would be where it started.

Answer:

it's correct because even though rotating 90° is not the same as reflecting about the y-axis, when you reflect again about the x-axis, it becomes the same as reflecting an additional 90°.

so reflecting about y and then about x is the same as rotating 180°.

Step-by-step explanation:

if you reflect (x, y) in 180° it becomes (-x,-y)

when you reflect about the y-axis, (x,y) becomes (-x,y).

when you reflect again about the x-axis, (-x,y) becomes (-x,-y) which is the same as the 180°

HELP!!! please look at the photo attached, its really confusing me so even if you dont know the answer can you atleast give me tips on how to do it?

note: the rectangle is 4cmx11.5cm, scaled up it is 8mx23m

Answers

The area of the rectangle in meters = 8x 23 = 184 square meters.

The area of one board = 1.2 x 1 = 1.2 square meters

Total area of all the boards = 1.2 x 150 = 180 square meters.

180 is less than 184 so she does not have enough boards.


What percent is equivalent to 2/5?

Answers

Answer:

40%

Step-by-step explanation:

In order to turn a fraction into a decimal or percentage, you need to make the denominator 100. In this case you just need to multiply the numerator and denominator by 20:

2/5 --> 2*20/5*20 --> 40/100

So, it is 40%. Though if you want to turn ANY fraction (specifically fractions with hard to multiply denominators) into a percentage, just follow this rule:

(100n/d)%

The 2/5 is equivalent to 40%.

To calculate what percent is equivalent to 2/5, we can use the formula:

Percent = (Part / Whole) * 100

In this case, the part is 2 and the whole is 5.

Percent = (2 / 5) * 100

Now, perform the division:

Percent = 0.4 * 100

To find the percentage, multiply 0.4 by 100:

Percent = 40%

Therefore, 2/5 is equivalent to 40%. To understand this better, consider that 2 out of 5 parts is 40% of the whole. The percentage represents the proportion of the part (2) in relation to the whole (5) expressed as a fraction of 100. In this scenario, 2/5 is equivalent to 40%, indicating that 40% of the whole is represented by the fraction 2/5.

To know more about equivalent:

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can you simplify the fraction 4/-3 any more​

Answers

Answer:

No

Step-by-step explanation:

you can't simplify it anymore no matter how low of a number you simplify it by

No you can not cuz you cant

What is the image point of (3, -3) after a translation left 3 units and up 4 units?.

Answers

Answer:

(0, 1)

Step-by-step explanation:

(x, y)

Left and Right movement deals with the x value

Up and Down movement deals with the y value

3 units left = -3

4 units up = +4

(x - 3, y + 4)

(3 - 3, -3 + 4)

(0, 1)

The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex].

Determination of the coordinates of resulting point after translation

Geometrically speaking, a translation is determined by following formula:

[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)

Where:

[tex]V(x,y)[/tex] - Original point[tex]T(x,y)[/tex] - Translation vector[tex]V'(x,y)[/tex] - Resulting point

If we know that [tex]V(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-3, 4)[/tex], then the coordinates of the resulting point are, respectively:

[tex]V'(x,y) = (3, -3) + (-3, 4)[/tex]

[tex]V'(x,y) = (0, 1)[/tex]

The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex]. [tex]\blacksquare[/tex]

To learn more on translations, we kindly invite to check this verified question: https://brainly.com/question/17485121

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