Slope: -5/7, y-intercept:-2/3

Mathematics

2 answers:

ValentinkaMS [17]3 years ago

8 0

Answer:

y = -5/7x - 2/3

Step-by-step explanation:

Because the slope is -5/7, you multiply that by X.

Then you add -2/3, the y-intercept.

Amanda [17]3 years ago

5 0

Answer:

y = -5/7x - 2/3

m is the slope
b is the y - intercept
y = mx + b

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Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.

Free_Kalibri [48]

Answer:

(x-4)^2 + (y+5)^2 = 324

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-4)^2 + (y+5)^2 = 18^2

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An atrium is being designed to house an exhibit of tropical birds. The atrium must enclose 250,000 cubic feet of space, and the

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The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium.

<h3>Can this atrium be built in the rectangular plot of land?</h3>

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First, we calculate the volume occupied by the maximum allowable radius:

V' = (8 · π / 3) · (45 ft)³

V' ≈ 763407.015 ft³

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium. $\blacksquare$