R2-4r-77 = (r-11)(r+7)
r has to be greater than 11 in order for the formula to represent the area of a rug since a side length cannot be less than or equal to 0.

7 0

3 years ago

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Assume that the heights of bookcases are normally distributed. A random sample of 16 bookcases in one company have a mean height

ipn [44]

Answer: 1.1 and 3.1

Step-by-step explanation:

6 0

2 years ago

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What is the distance from point (– 1, 3) to the line 3x – 4y = 10?

natta225 [31]

Answer:

5 units

Step-by-step explanation:

The distance from a point (m, n ) to the line Ax + By + C = 0 is given by

d = $\frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }$

For the point (- 1, 3 ) , with m = - 1 and n = 3

3x - 4y = 10 ( subtract 10 from both sides )

3x - 4y - 10 = 0

with A = 3 , B = - 4 , C = - 10

d = $\frac{|3(-1)+(-4)3-10|}{\sqrt{3^2+(-4)^2} }$

= $\frac{|-3-12-10|}{9+16}$

= $\frac{|-25|}{\sqrt{25} }$

= $\frac{25}{5}$

= 5

5 0

2 years ago