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 +.

Answers

Answer 1

Answer:

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:

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

$12=a(8-5)^2+3$ and

$12=a(3)^2+3$ and

$12=9a+3$ 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:

$y=1(x-5)^2+3$

Answer 2

Answer:

Answer:

y = 1(x + -5)2 + 3

Step-by-step explanation:

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(4,? is on the line below. Find the other half of the coordinate y=2/7x-3
the area of a rectangle is 54 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Slove for x. round your answer to the nearest whole number.
(x-4)^2+12(x-4)+20=0

What are the measurements???

Answers

Answer:

angle 4 is 31

angle 5 is 59.

Step-by-step explanation:

M<4 and M<5 add up to a right angle which is 90 degrees . so you put it in a equation form.

2x-5+4x-13=90

rearrange it

2x+4x-5-13=90

6x-18=90

add 18 on both sides

6x=108

divide 6 from both sides

and you get x= 18

Plug in x for angle 4 =2(18)-5 = 31

plug in x for angle 5 = 4(18)-13 = 59

Is the points (0,6) (3,3) (6,-1) on the same line

Answers

To determine if the points (0,6), (3,3), and (6,-1) are on the same line, you can calculate the slope between each pair of points. If the slopes are the same, then the points are collinear (on the same line).

Let's calculate the slopes between these points:

Slope between (0,6) and (3,3):

Slope = (y2 - y1) / (x2 - x1)

Slope = (3 - 6) / (3 - 0)

Slope = (-3) / (3)

Slope = -1

Slope between (3,3) and (6,-1):

Slope = (y2 - y1) / (x2 - x1)

Slope = (-1 - 3) / (6 - 3)

Slope = (-4) / (3)

Slope = -4/3

The slopes between the points are not the same. The first slope is -1, and the second slope is -4/3. Therefore, these points are not collinear and do not lie on the same line.

Framingham Company wants to finance its expansion by selling 200,000 shares of stock at $35.20 each. The underwriting commission will be 5.5 percent of the value of the stock. Accounting, legal, and printing fees are $142,985. What is the total selling expense?

Answers

Given:
200,000 shares fo stock at 35.20 each
5.5% underwriting commission
accounting, legal, and printing fees = 142,985

200,000 x 35.20 = 7,040,000
7,040,000 x 5.5% = 387,200

underwriting commission: 387,200
accounting, legal, and printing fees: 142,985
total selling expenses: 530,185

(2+7i)(2-7i)= ==========

Answers

$(2+7i)(2-7i)=2^2-(7i)^2=4-49\vfot(-1)=4+49=53\n\n-------------------------------\ni=√(-1)\n\ni^2=-1$

$(2+7i)(2-7i)=4-14i+14i-49i^2\n \n 4+49=53$

Which property of addition is shown below? a + bi + c + di = a + c + bi + di

Answers

I think the property of this addition problem is commutative property

Haley bought 1.6 pounds of almonds for $13.20. How much did she pay per pound?

Answers

$8.25

Divide 13.20 by 1.6

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