Answer:
2x -8
Step-by-step explanation:
f (x) = 3x - 5
g(x) = x + 3,
(f - g)(x) = 3x - 5 - ( x+3)
Distribute the minus sign
= 3x-5 -x-3
Combine like terms
= 2x -8
Answer:
x = -1
y = 1
Step-by-step explanation:
<u><em>Since it gives you "y", plug in the number given into the equation:</em></u>
y = -6x - 5
1 = -6x - 5
<u><em>Then, add 5 to both sides:</em></u>
1 = -6x - 5
+5 + 5
________
6 = -6x
<em><u>Divide both sides by -6:</u></em>
6 = -6x
-1 = x
So now you have, x = -1 and y = 1
Answer:
2
Step-by-step explanation:
2 is 2.
22 is 2•11.
The GCF is 2.
Answer:
36*sqrt(3)
Step-by-step explanation:
Remark
Use the Pythagorean theory to find the height. Use that height to find the area of the rectangle and the triangle Or
You can find the area of the trapezoid which requires only 1 step after you find the height.
Height
c = 8
b = 4
a = ?
a^2 + b^2 = c^2
a^2 + 4^2 = 8^2
a^2 + 16 = 64
a^2 = 64 - 16
a^2 = 48
a^2 = 16 * 3
sqrt(a^2) = sqrt(16*3)
a = 4 * sqrt(3)
That's the height
Trapezoid
b1 = 7
b2 = 7 + 4 = 11
h = 4*sqrt(3)
Area = (b1 + b2)*h / 2
Area = (7 + 11)* 4*sqrt(3)/2
Area = 18 * 2 sqrt(3)
Area = 36* sqrt(3)
