3 years ago

Find the slope of the line through the given points. (−7, 10 ) and (1, 10)

Mathematics

1 answer:

klio [65]3 years ago

4 0

10-10 / 1-(-7) = 0
Therefore the slope is 0.

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otez555 [7]

Length of unit cube = 1 foot
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4 years ago

The equation x^2 + y^2 + 21 = 40 + 18y. What is the radius of this cookie?

trapecia [35]

Answer:

The radius is 10

Step-by-step explanation:

Given

$x^2 + y^2 + 21 = 40 + 18y.$

Required

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Rewrite as:

$x^2 + y^2 - 18y = 40-21$

Subtract 81 from both sides

$x^2 + y^2 - 18y +81= 40-21+81$

Expand

$x^2 + y^2 - 9y - 9y +81= 40-21+81$

Factorize

$x^2 + y( y- 9) - 9(y -9)= 40-21+81$

Factor out y - 9

$x^2 + (y- 9) (y -9)= 40-21+81$

Express as squares

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$x^2 + (y- 9)= 10^2$

The equation of a circle is:

$(x - a)^2 + (y- b)= r^2$

By comparison:

$r^2=10^2$

$r = 10$

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Which of the following are square roots of the number below? Check all that

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