3 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

kari74 [83]3 years ago

4 0

Dilation factor of 2, centre is -2,6

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Write an equation for the line that has a slope of -4 and passes through the point (2,-3)

faltersainse [42]

Answer:

y = -4x + 5

Step-by-step explanation:

y = -4x + b

-3 = -4(2) + b

-3 = -8 + b

5 = b

4 0

3 years ago

Help!!!!!

guapka [62]

3*-6-2*-11=14

-18+22=14

22=14+18

8 0

3 years ago

What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?

klemol [59]

Answer:

$(x-3)^{2} +(y-2)^{2}=41$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(8,-2)\\E(-2,6)$

substitute the values

$d=\sqrt{(6+2)^{2}+(-2-8)^{2}}$

$d=\sqrt{(8)^{2}+(-10)^{2}}$

$d=\sqrt{164}\ units$

$d=2\sqrt{41}\ units$

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

$C=(\frac{8-2}{2},\frac{-2+6}{2})$

$C=(3,2)$

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

$(x-h)^{2} +(y-k)^{2}=r^{2}$

we have

(h,k)=(3,2)

$r=2\sqrt{41}/2=\sqrt{41}\ units$ ---> the radius is half the diameter

substitute

$(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}$

$(x-3)^{2} +(y-2)^{2}=41$

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4 years ago

Elijah's father is 47. He is 17 years older than twice Elijah's age. How old is Elijah?

ch4aika [34]

Answer:

let Elijah age be a

Then

2*a + 17 =47

2a=47-17

2a=30

a=15

Step-by-step explanation:

4 0

3 years ago

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Emily spent a total of 38.04 on four CDs if each CD cost the same amount what is a reasonable amount for each CD explain why you

mojhsa [17]

To find the cost of one CD, we divide 38.04 by 4

38.04 ÷ 4 = 9.51

The answer is reasonable because it's an accurate answer.

6 0

3 years ago

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