SA = 2LW + 2LH + 2WH

Since it is a cube, all of the dimensions, LWH, will be the same.

SA = 2s^2 + 2s^2 + 2s^2

SA = 6s^2486 = 6s^2

Divide both sides by 681 = s^2Take the square root of both sides. 9 = s

Hope this helped☺☺

4 0

3 years ago

What is the inverse of the function y = -8x + 15?

MrRa [10]

$y = -8x + 15\\ 8x=-y+15\\ x=-\dfrac{y-15}{8}\\\\ y^{-1}=-\dfrac{x-15}{8}$

6 0

3 years ago

Andrew solved the following inequality, and his work is shown below:

Nana76 [90]

Answer:

<h2>2.) When dividing by −2, he did not change the direction of the sign. </h2>

Step-by-step explanation:

-4(x + 8) ≤ -2x + 50 use the distributive property: a(b + c) = ab + ac

-4x - 32 ≤ -2x + 50 add 2x to both sides

-4x + 2x - 32 ≤ -2x + 2x + 50

-2x - 32 ≤ 50 add 32 to both sides

-2x - 32 + 32 ≤ +50 + 32

-2x ≤ 82 divide both sides by (-2) / flip the inequality sign/

x ≥ -41

Andrew's mistake:

2.) When dividing by −2, he did not change the direction of the sign.

8 0

3 years ago

Center (8,9) and radius r=10

LekaFEV [45]

Answer:

A. Standard form: $(x-8)^2+(y-9)^2=100$

B. General form: $x^2+y^2-16x-18y+45=0$

Step-by-step explanation:

We have been given that center of a circle is at point (8,9) and radius of our circle is 10 units. We are asked to write the equation of our circle.

A. Since we know that the equation of a circle in standard form is: $(x-h)^2+(y-k)^2=r^2$ , where,

(x,y) = Any point on circle,

(h,k) = Center of the circle,

r = Radius of the circle.

Upon substituting our given values in standard form of circle's equation we will get,

$(x-8)^2+(y-9)^2=10^2$

$(x-8)^2+(y-9)^2=100$

Therefore, the equation of our given circle in standard form will be $(x-8)^2+(y-9)^2=100$ .

B. Since we know that equation of a circle in general form is: $x^2+y^2+Ax+By+C=0$ , where, A, B and C are constants.

Upon expanding our standard form of equation we will get,

$x^2-16x+64+y^2-18y+81=100$

$x^2-16x+64+y^2-18y+81-100=100-100$

$x^2-16x+y^2-18y+64+81-100=0$

$x^2-16x+y^2-18y+45=0$

$x^2+y^2-16x-18y+45=0$

Therefore, the equation of our given circle in general form will be $x^2+y^2-16x-18y+45=0$ .

7 0

3 years ago