5x - 5y = 10
x - y = 2 . . . (1)
3x - 2y = 2 . . . (2)
(1) x 3 => 3x - 3y = 6 . . . (3)
(2) - (3) => y = -4
From (1), x - (-4) = 2
x = 2 - 4 = -2
Solution is (-2, -4)
The area of one of the triangular lateral faces is

You're told that the slant height, which is the same as the height of the triangular face, is 9.8, so you have

where

is the length of the base of the triangle, which is also the same as the side length of the base of the pyramid. So
Answer:
See proof below
Step-by-step explanation:
Given the expression 2/4-x = 10/4+x
Cross multiply
10(4-x) = 2(4+x)
10(4) - 10x = 2(4)+ 2x
40 - 10x = 8 + 2x
-10x - 2x = 8 - 40
-12x = -32
Multiply both sides by -1
-1(-12x) = -1(-32)
12x = 32
This shows the required expression
Answer: GCF is 4
Step-by-step explanation:
Answer:
A ≈ 183 cm²
Step-by-step explanation:
Step 1: Find the area of the 2 circles
A = πr²
r = 6/2 = 3
A = π(3)²
A = 9π
Since there are <em>2</em> circles, 9π(2) = 18π
Step 2: Find area of <em>entire </em>rectangle
A = lw
A = 12(20)
A = 240
Step 3: Subtract the area of the circles from the area of the entire rectangle
240 - 18π
Shaded area = 183.451 cm²
And we have our answer!