<span>A(x) = x 2 - 12x + 36
</span><span>A(x) = (x -6)^2
answer: length of a side of the square = x - 6</span>
The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:
- A. 6x – 30 = 54
- B. 6x = 84
- D. x = 14
Given the expression 6(x-5) = 54
Expand the expression in parenthesis using the distributive law;
6x - 6(5) = 54
6x - 30 = 54
Add 30 to both sides
6x - 30 + 30 = 54 + 30
6x = 84
Divide both sides by 6
6x/6 = 84/6
x = 14
Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:
- A. 6x – 30 = 54
- B. 6x = 84
- D. x = 14
Learn more on equations here; brainly.com/question/2972832
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Hi there!
We know that RST is an equilateral(all 3 sides the same length) triangle, and is therefore equiangular(all 3 angles the same value). Therefore, angle S and is equal to one-third of the triangle's angle measure.
180/3=60
60=7x+4
56=7x
x=8
-AwesomeRepublic :)
Answer and Step-by-step explanation:
First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.
<u>Volume formula of Sphere</u>
V = 
<u>Substitute 1 in for r</u>
= Volume
<u>Finding the Height of a Cone</u>
Volume formula for Cone: 
<u />
<u>Solve for </u><u><em>h</em></u>
Multiply both sides by 3, then divide by pi and r^2.
<u>Plug in the volume and the radius.</u>
<u>Simplify</u>
h ≈ 4
<u>4 is approximately the height.</u>
<u></u>
<u></u>
<u><em>#TeamTrees #PAW (Plant And Water)</em></u>
