Find an equation of the sphere that passes through the origin and whose center is (1, -7, 9

1 answer:

6 0

The distance between any point on the sphere and its center is the radius. The origin is on the sphere, so the radius $r$ satisfies

$r^2=(1-0)^2+(-7-0)^2+(9-0)^2=131$

This means the equation of the circle is

$(x-1)^2+(y+7)^2+(z-9)^2=131$

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He hypotenuse of a right triangle is three times the length of one of the legs. the length of the other leg is 648‾‾‾‾√648 feet.

pantera1 [17]

Let length of the hypotenuse = 3x and length of given leg be x feet.

then (3x)^2 = x^2 + 648
8x^2 = 648
x^2 = 81

so x = 9 and 3x = 27

Hypotenuse is 27 feet and the leg equals 9 feet.

4 0

3 years ago

Question 22 Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every

Setler [38]

Answer:

897 liters

Step-by-step explanation:

The motor oil is composed of 8 liters of natural oil and 5 liters of synthetic oil. This means there is a ratio of 8/5. We have 552 liters of natural oil to y liters of synthetic. This is the ratio 552/y. Create a proportion that compares the two ratios.

$\frac{8}{5}=\frac{552}{y}$