On a coordinate plane, a parabola opens up in quadrant 1. It goes through (2, 12), has a vertex at (5, 3), and goes through (8, 12). Write the equation of the function whose graph is shown. y = (x + )2 +.

On A Coordinate Plane, A Parabola Opens Up In Quadrant 1. It Goes Through (2, 12), Has A Vertex At (5,

Answers

Answer 1

Answer:

Step-by-step explanation:

You have a vertex coordinate and 2 points. In order to write the equation for that parabola, you only need the vertex and one point. We will fill in the following work form of the parabola:

[tex]y=a(x-h)^2+k[/tex] , where h and k are from the vertex and x and y are from the point. Filling in:

[tex]12=a(8-5)^2+3[/tex] and

[tex]12=a(3)^2+3[/tex] and

[tex]12=9a+3[/tex] and

9 = 9a s0

a = 1.

Now we can write the equation, filling in a, the only unknown we had, which we now know is 1:

[tex]y=1(x-5)^2+3[/tex]

Answer 2

Answer:

y =  1 (x +  -5 )2 + 3

Step-by-step explanation:


Related Questions

What’s the answer to this question?

Answers

Answer:

The answer is

The first one, the second one and the last one.

Hope this helps.

_____ is a gas giant, an "ice giant," and orbits the Sun like a rolling ball (since its axis is greatly tilted). A. Saturn B. Jupiter C. Uranus D. Neptune

Answers

The answer is C, Uranus

point A (-3,-5) and point M is at (-1,-7) what are the coordinates point of be
point M is the midpoint off point A and point B

Answers

Answer: B = (1,-9)

Step-by-step explanation:

[tex]x_M=\frac{x_A+x_B}{2} \\\\y_M=\frac{y_A+y_B}{2} \\\\\\x_B = 2x_M-x_A=2(-1)-(-3)=1\\\\y_B = 2y_M-y_A=2(-7)-(-5)=-9\\[/tex]

Answer:

the answer is b

Step-by-step explanation:

Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in feet) is given by the following.
=Rθv02sin2θ32
If =v080 /fts, what angle θ (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian. (If there is more than one answer, enter additional answers with the "or" button.)

Answers

Answer:

0.25 rad to the nearest hundredth radian

Step-by-step explanation:

Here is the complete question

Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.  

R(θ) = v₀²sin2θ/32

If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?

Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.

(θ)= ?rad

Solution

R(θ) = v₀²sin2θ/32

If v₀ = 80 ft/s and R(θ) = 95 ft

θ = [sin⁻¹(32R(θ)/v₀²)]/2

= [sin⁻¹(32 × 95/80²)]/2

=  [sin⁻¹(3040/6400)]/2

=  [sin⁻¹(0.475)]/2

= 28.36°/2

= 14.18°

Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad

= 0.25 rad to the nearest hundredth radian

Answer:

Theta= 0.32 rad

or Theta= 1.25 rad

Step-by-step explanation:

On the Aleks explanation

Write a rational expression that simplifies to x-3,x≠1

Answers

Aswer:

[tex]\frac{(x-1)(x-3)}{x-1}[/tex]

Step-by-step explanation:

Answer:

x-3:m=1

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST
The figure below has a point marked with a large dot.
First, reflect the figure across the x-axis.
Then, give the coordinates of the marked point in the original figure and the final figure.

Answers

Answer:

Original figure: (-6,-5)

final figure: (-6, 5)

Step-by-step explanation:

the point would fall at (-6, 5) because it is reflecting across the x-axis (the horizontal one) and since it is the original point is 5 away from the x-axis, the final point would be at 5 as well. the y-coordinate doesn't change because it is only reflecting over the x-axis. the shape would essentially be flipped if you reflected it over the x-axis, so the point would be on the bottom of the figure instead of the top. Hope this helps I tried my best to explain!

x
Which of these points are on a line that has a slope of -3?.
(9, 2), (4,3)
(2,9), (4,3)
(9, 2), (3, 4)
(2,9), (3, 4)

Answers

Answer:  (2, 9), (4, 3)

Step-by-step explanation:

[tex]\text{The slope formula is: }m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{2-3}{9-4}\quad =-\dfrac{1}{5}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{9-3}{2-4}\quad =\dfrac{6}{-2}\quad =\large\boxed{-3}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{2-4}{9-3}\quad =\dfrac{-2}{6}\quad =-\dfrac{1}{3}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{9-4}{2-3}\quad =\dfrac{-5}{1}\quad =-5[/tex]

Find the surface area of polyhedra
Pls!! show how you got the surface area ​​

Answers

Answer:

52.48

Step-by-step explanation:

find the cross sectional area which is the triangle

triangle = 1/2 x 8.2 x 6.4 = 26.24

then, use the area to multiply by the extended length of 2

26.24 x 2 = 52.48

Find the slope of the line that passes through (2, 16) and (10, 7).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

-9/8

Hope this helps

The right answer is - 9/8

please see the attached picture for full solution

Hope it helps..

which number is one less than a cube number?
20
22
24
26

Answers

26 because 27 is a cubed number and 21,23 and 25 are not

The number less than a cube is 26.

What is cube of a number?

The cube of a number is obtained by multiplying the number three times.

Determine the cube of 3.

3·3·3=27

So, the cube of 3 is 27.

From the given options it can be observed that the number 26 is 1 less than 27.

Thus, the number one less than cube is 26.

To learn more about cube click:

https://brainly.com/question/28134860

#SPJ3

Find the surface area of a sphere. Use 3.14 for pi and round to the nearest tenth.

R=6.25

Answers

Yes that is correct 3.14 is r = 6.25 smile

whats 700 divided by 178

Answers

Answer:

3.93258426966

Step-by-step explanation:

To 1 d.p = 3.9

Answer:

≈3.9 (3.932584269662921...)

OR

3 R 166

OR

[tex]3\frac{83}{350}[/tex]

Step-by-step explanation:

700÷178=3.932584269662921

700÷178=3 R 166

700÷178=

[tex]3 \frac{166}{700} =\\\\3\frac{83}{350}[/tex]

If you wanted it in decimal form, the decimal would be infinite.

If you wanted it with a remainder, it's 3 R 166

If you wanted it in fractions, it's [tex]3 \frac{83}{350}[/tex]

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

B. x + 0.2x

Step-by-step explanation:

0.2 is equal to 20%

x represents the amount of dollars, and 20% of x would be written as 0.2x.

The 20% of x would be added to the money before the 20%, so, the answer is b, x + 0.2x.

what is the ratio of 2 hours and 115 minutes​

Answers

2 hours = 120 minutes so the ratio is 120minutes:115minutes. Simplified is 24:23

Which of the following does not come from domesticated animals?
a. milk from cows, sheep, and goats
c. fertilizer to help crops grow better
b. labor to pull the plows
d. furs for shelter and warmth

Answers

Labor to pull the plows
the correct answer is B

please help thank youuu!

Answers

Answer: D. All interior angles and all sides are congruent.

Step-by-step explanation:

If it is a regular polygon, then all angles and sides have to be congruent.

The interior angles aren’t congruent to the exterior angles.

Not all angles have to be congruent, in regular or irregular.

Since this polygon has 25 sides, opposite pairs aren’t parallel because there are an odd number of sides. That means there are no opposite pairs.

Answer:

D

Step-by-step explanation:

I will give you brainliest !!! The graph of y=8x+7 is:

Answers

Answer:

C

Step-by-step explanation:

A line that shows all solutions

3.268 rounded to the whole number

Answers

Answer:

Brainliest goes to me!

Step-by-step explanation:

3

3.268

lets only look at 3.2   .......

3.2 is rounded down to 3

Answer:

3.268 rounds to 3

Step-by-step explanation:

Numbers less than 5 round downNumbers that are 5 or higher round upRounding to the whole number would be rounding to the One's Place2 is less than 5, so it rounds down to 3

Please mark Brainliest

The slope of AB is -2/5. Segment CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.

Answers

Answer:

Neither

Step-by-step explanation:

When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.

Plz sub to Rebel_IOSツ on yt!

Answer:

AB and CD are parallel

Step-by-step explanation:

AB has the slope of -2/5

let's see what slope the line CD has:

points are (-5, 3) and (10, -3)slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5

as we see AB and CD have same slope, therefore they are parallel

5x – 7y= 16 2 + 7y = 8.
what is x?

Answers

Answer:

x=45/6

Step-by-step explanation:

2+7y=8. 7y=8-2. 7y=6

7=7. y=6\7

insert the value of y in the second equation. 5x-7y=16

5x-7(6/7)=16

5x-49\6=16

collect the liketerms together

5x=16+49/6

5x=145/6(divide both sides by 5)

x=29/6

x=45/6

further.

confirm if the 2 in the second equation has an X coz the questions are normally set with both equations having both values x and y

In order to participate in the end of the year filed trip, the students at Francis Scott Key need
to fundraise $1200. They plan to have a fajita dinner. They have enough food to serve 240
people. They are charging adults $6 per plate, and students only have to pay $2 per plate.
How many adults and children need to buy a plate in order for them to exactly meet their
goal?​

Answers

Answer: 60 kids, 180 adults

Step-by-step explanation:

Let x be the number of children and y be the number of adults eating.

If they have 240 people eating then x+y=240.

If they have to fundraise 1200 then 2x+6y=1200.

Solving the system of equations, we can multiply the first equation by 2 to get 2x+2y=480. Then subtract the two equations and get -4y=-720, so y=180. Substitute y=180 back in to get x=60.

Hope that helped,

-sirswagger21

Find the area of the figure. Use 3.14 for Pi, and round your answer to the nearest tenth. Rectangle capped by a right triangle on one end and a semicircle on the other A rectangle topped by a semicircle and triangle. The rectangle has length 38 feet and width 24 feet. The triangle has side lengths 18 feet and 24 feet. The semicircle has diameter 24 feet. a. 1570.1 sq. ft b. 1354.1 sq. ft c. 1580.2 sq. ft d. None of these

Answers

the answer is b.1354

HELP. THIS IS ABOUT DILATION EXPLANATION NEEDED

Answers

Answer:

(16,14)

Step-by-step explanation:

Dilation is increasing/decreasing something by a factor. The shape remains the same; it's just bigger or smaller.

This shape is a square, so all lines are the same length. Find the distance between C and D (it can honestly be any adjacent points). The distance is 6. You can usually use the distance formula, but since C and D have the same y-coordinate, you can just do |x2-x1|. Since you're multiplying by 2, the new distance should be 12. Since the y-coordinate of A' is 14, the y-coordinate of B is also 14. The x-coordinate should be 12 units away from the new A' (which is (4,14)). B is (16, 14)

Answer:

To dilate from the origin, you would need to multiply each coordinate by 2. For example, for A(2*2,7*2). After you do that to each coordinate, plot the points on a graph(by hand or using Desmos). Then, since it is a square determine point B by counting a certain number of units away from another point. A square has four congruent sides.

PLEASE HELP!
Solve by completing the square
x^2+8x = -20

Answers

Answer: x= -4+/- 2i

Step-by-step explanation: Used the formula (b/2)^2  to create a new term. I solved for x.

FYI

+/- means plus or minus sign I couldn't find the symbol on my key board. Hope this helps!

If the points A(x,2), B(-3, -4) and C(7, -5) are collinear, then find the value of x

Answers

Answer:

x = -63

Step-by-step explanation:

If the points A(x,2), B(-3, -4), and C(7, -5) are collinear, the line that passes B and C, also passes A.

The line passes B and C has the form of y = ax + b

=> -4  = a(-3) + b

    -5  = a(7) + b

=> Subtraction 1st equation from 2nd equation, we have:

    -1 = 10a

=> a = -1/10

=> b = -4 + 3(-1/0) = -43/10

=> This line has form of y = (-1/10)x -43/10

This line passes A(x, 2)

=> 2 = (-1/10)x - 43/10

=> 2 + 43/10 = (-1/10)x

=> 63/10 = (-1/10)x

=> x = -63

Hope this helps!

May drives a total of 44 miles each day to take her children to and from school. The children go to school 5 days a week. May​'s vehicle gets 17 miles per gallon of gas. About how many gallons of gas does May need to take her children to and from school each​ week?

Answers

Answer:

12.94 gallons/week

Step-by-step explanation:

44x5=220

220/17=12.94

Answer:

13 gallons

Step-by-step explanation:

44 miles x 5 days = 220 miles

220 miles / 17mpg = 12.9

12.9 rounded up is 13

Final Answer is 13 gallons

Find the value of x.

Answers

Answer:

x = -7

Step-by-step explanation:

Make an equation:

3x + 33 = 12

3x = -21

x = -7

Answer:

x = -7

Step-by-step explanation:

form an equation.

14 + x + 2x + 19 = 12

like terms together;

x + 2x = 12 - 14 - 19

simplify;

3x = -21

divide both sides by 3;

x = -7

i need help, please..

Answers

Answer:

£1.31

Step-by-step explanation:

5:7:12

5x+7x+12x= 21624x= 216x= 9

small : medim : large = 45 : 63 : 108

45y+63*2y+108*3y= 648.45y(45+126+324)= 648.45495y= 648.45y= 648.45/495y= £1.31 profit for small cake

Answer:

£1.31

Step-by-step explanation:

The cakes are sold in the ratio 5 : 7 : 12 = 5x : 7x : 12x ( x is a multiplier )

sum the parts of the ratio, 5x + 7x + 12x = 24x

Equate 24x to the number of cakes sold, that is

24x = 216 ( divide both sides by 24 )

x = 9

Thus cakes sold are

5x = 5 × 9 = 45 small cakes

7x = 7 × 9 = 63 medium cakes

12x = 12 × 9 = 108 large cakes

let p represent the profit on a small cake, then

45p + 63(2p) + 108(3p) = 648.45 , that is

45p + 126p + 324p = 648.45

495p = 648.45 ( divide both sides by 495 )

p = 1.31

That is the profit on one small cake is £1.31

Brian, Krutika and Peter share £77 in a ratio 2:2:3. How much money does each person get?

Answers

_______________________________

Hey!!!

Solution,

2x+2x+3x=77

or,7x=77

or,X=77/7

X=11

Replacing value,

2x=2*11

=22

3x=3*11

=33

So, Brian gets £ 22.

Kritika gets £ 22

Peter gets £ 33

Hope it helps...

Good luck on your assignment

_____________________________

4(x + 2) = 2x + 10


explain each step plz

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]4(x + 2) = 2x + 10[/tex]

Distribute 4(x+2).

[tex]4x+8 = 2x + 10[/tex]

Subtract 2x and 8 from both sides.

[tex]4x-2x=10-8[/tex]

[tex]2x=2[/tex]

Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{2}{2}[/tex]

[tex]x=1[/tex]

Answer:

x = 1

Step-by-step explanation:

4(x + 2) = 2x + 10

You start by expanding 4(x +2)

i.e. 4x + 8 = 2x + 10

Then, subtract 2x from both sides of the equation

4x + 8 - 2x = 2x + 10 - 2x

4x - 2x + 8 = 2x - 2x + 10

2x + 8 = 10

Subtract 8 from both sides of the equation

i.e. 2x +8 - 8 = 10 - 8

2x = 2

Divide both sides of the equation by the coefficient of x above(which is 2)

[tex]\frac{2x}{2} = \frac{2}{2}[/tex]

x = 1

Hope this helps :))

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