Lola measures the heights and arm spans of the girls on her basketball team.
She plots the data and makes a scatterplot comparing heights and arm
spans, in inches. Lola finds that the trend line that best fits her results has the
equation y = x + 2. If a girl on her team is 65 inches tall, what should Lola
expect her arm span to be?
72
70
68
Arm span (inches)
66
62
60
Troo
60 62 64 66 68 70 72
Height (inches)
O A. y = 65 - 2 = 63 inches
O B. y= 65+ 2 = 67 inches
C. y = 65 inches
D. 65 = x + 2
X = 63 inches

Answer:

vertex = (5, - 1 )

Step-by-step explanation:

The focus and directrix are equidistant from the vertex

Since the equation of directrix is y = - 3 then the parabola is vertical,

The distance between the focus and directrix is

| 1 - (- 3) | = | 4 | = 2

Thus the vertex is 2 units below the focus

vertex = (5, 1 - 2 ) = (5, - 1 )

A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).

A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.

As per the given information in the question,

The focus and directrix are equidistant from the vertex then,

The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:

|1 - (-3)| = |4| = 2

The vertex is therefore 2 units below the focus.

vertex = (5, 1 - 2) = (5, -1)

To know more about Parabola:

https://brainly.com/question/21685473

#SPJ2

Answer:

2x+2

hope it helped:))))))))

Answer:

2x + 2

Step-by-step explanation:

f(x) + g(x)

= 9 - 3x + 5x - 7 ← collect like terms

= 2x + 2

Answer:

D

Step-by-step explanation:

379.00 - 15.00 + 154.00 x 3 + 65.00 + 13.00 = 904

0.55 x 63 = 34.65

34.65 + 904 = 938.65

Answer:

Your answer is D

Step-by-step explanation:

because 379-15+154x3+65+13+0.55x63=938.65

Answer:

The height is 45 m

Step-by-step explanation:

The volume of a triangular prism is V = (1/3)(area of base)(height)

If the voume is 240 m^3 and the area of the base 16 m^2, then the height of the prism is determined as follows:

3V = (area of base)(height)

Dividing both sides by (area of the base), we get:

                   3(240m^3)

height = ------------------------- = 45 m

                       16 m^2

Answer:

h(-8)=-8

Step-by-step explanation:

Since we are finding h(-8), we plug -8 into the equation:

h(-8)=((-8)²+3(-8))/(4(-8)+27)

h(-8)=(64-24)/(-32+27)

h(-8)=40/-5

h(-8)=-8

Therefore, h(-8)=-8, which means your answer is correct!

Answer:

9)

x^2 + 2x + 1 = (x + 1)^2

10)

x^2 - 6x + 9 = (x - 3)^2

Step-by-step explanation:

To complete the square, add the square of half of the x-term coefficient.

Then use the factoring of a perfect square trinomial.

a^2 + 2ab + b^2 = (a + b)^2

a^2 - 2ab + b^2 = (a - b)^2

9)

x^2 + 2x + 1 = (x + 1)^2

10)

x^2 - 6x + 9 = (x - 3)^2

Answer:

4

Step-by-step explanation:

ty

hav meme

Answer:

2 + 2 = 4

Step-by-step explanation:

Can I get brainliest mademoiselle?

Answer:

B

Step-by-step explanation:

2y=-3x+6

y = -0.5x + 3

this is a function because it is a linear equation that isn’t undefined

Answer:

2:3

Step-by-step explanation:

You can divide 6:9 by 3

6/3=2

9/3=3

So, therefore the answer is 2:3.

Answer:

9x9x9

Step-by-step explanation:

Answer:

took a screen shot hope it helps

Step-by-step explanation:

Answer:

y=x slants in between the 1st and third quadrant

y=-x slants in between the second and fouth quadrant

y=|x| am not sure but I think it's the same as y=x

Answer:

the slope of the given line is m = rise / run = -1/2

Step-by-step explanation:

Going from (1, -1) to (3, -2), the 'rise' is actually a drop of 1 unit; the 'run' is +2.

Thus, the slope of the given line is m = rise / run = -1/2

Answer:

24 beach toys

Step-by-step explanation:

We don't know how many beach toys Theo has, but we know that 6 of his friends each got 4 toys. The equation could be set up as x/6 = y, where x is equal to the total amount of toys Theo had, and y is equal to the amount of toys each friend received. We know that y = 4, so now you could say x/6 = 4, and now using opposite operations, 6 × 4 = 24, hence Theo had 24 toys.

Hope this helps!!

Answer:

i think is true because quad means 4 and a rectangle has 4 sides soooo i think i am right

Answer: C. 64 ft

Step-by-step explanation:

Answer:

y = 3x - 4

Step-by-step explanation:

y = 3x + b

2 = 3(2) + b

2 = 6 + b

-4 = b

y = 3x - 4

Answer:

$7,584

Step-by-step explanation:

The computation of the amount worth at the end of 6 years is shown below:

As we know that

SImple interest = Principal amount × rate of interest × time period

= $6,000 × 4.4% × 6

= $1,584

Now the amount at the end of 6 years is

= Principal amount + simple interest

= $6,000 + $1,584

= $7,584

Hence, the amount would be $7,584

Answer:x=8

Step-by-step explanation:

x²-3x=-3x+64

- Add 3x to both sides

x²-3x+3x=-3x+3x+64

= x²=64

- Square both sides

√x²=√64

x=±8

- Since the question is asking for the positive value of x, the answer is 8.

Answer:

A. When the team scored 52 points, the median number decreased.

Step-by-step explanation:

The median now is 88. Without the 52, (using the median formula,) it would become 88.5. Since 88.5 is larger than 88, it means the median decreased after 52 was added. There was no change when 91 was added.

Answer:

4 people per car

Step-by-step explanation:

To find the unit rate we would have to do

20/5=4

Answer:

what

Step-by-step explanation:

Answer:

13.4

Step-by-step explanation: sin= opposite/ hyp  sin(48) = h/ 18  h =  sin(48) * 18

Answer: it has to be [tex]36\\50[/tex]

Step-by-step explanation:you have to add them all

Answer:

square root of 202

Step-by-step explanation:

9^2+11^2=x^2

81+121=202

Answer:

the are of a rectangle is length x width