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3 years ago

For number one I need help

Mathematics

1 answer:

bezimeni [28]3 years ago

3 0

2/4 of orange paint, he took 1/4 off red so he has to take 1/4 off yellow as well

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A circle is centered at the point (-7, -1) and passes through the point (8, 7).The radius of the circle is____ units. The point

denis-greek [22]

Answer:

Part 1) The radius of the circle is r=17 units

Part 2) The points (-15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center of the circle and any point on the circle is equal to the radius 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

(-7, -1) and (8, 7)

substitute

$r=\sqrt{(7+1)^{2}+(8+7)^{2}}$

$r=\sqrt{(8)^{2}+(15)^{2}}$

$r=\sqrt{289}$

$r=17\ units$

step 2

Find out the y-coordinate of point (-15,y)

The equation of the circle in standard form is equal to

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

where

(h,k) is the center

r is the radius

substitute the values

$(x+7)^2+(y+1)^2=17^2$

$(x+7)^2+(y+1)^2=289$

Substitute the value of x=-15 in the equation

$(-15+7)^2+(y+1)^2=289$

$64+(y+1)^2=289$

$(y+1)^2=289-64$

$(y+1)^2=225$

square root both sides

$(y+1)=(+/-)15$

$y=-1(+/-)15$

$y=-1(+)15=14$

$y=-1(-)15=-16$

therefore

we have two solutions

point (-15,14) and point (-15,-16)

see the attached figure to better understand the problem

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3 years ago

Find the surface area of the prism

steposvetlana [31]

Answer:

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Step-by-step explanation:

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Speed multiplied by time equals total distance traveled.<br> True or False

finlep [7]

That's true! you can use the speed triangle to help you remember

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4 years ago

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Judy paid $120.96 for carpet for her room that is 144 ft.² Nathan like the carpet she chose but he wasn't sure it would match th

Annette [7]

Answer:

$0.84

Step-by-step explanation:

120.96/144= 0.84

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3 years ago

What is the square root of 165

Fynjy0 [20]

Answer:

12.8 is the square root i think like u could simplify the square toot of 165 since it isnt a whole number

Step-by-step explanation:

sorry if its wrong

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3 years ago