Answer:
r = 4
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 5
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, r ) and (x₂, y₂ ) = (8, 9)
m =
=
= 9 - r = 5 ( subtract 9 from both sides )
- r = - 4 ( multiply both sides by - 1 )
r = 4
3t=4s+5 (s=side of square, t= side of triangle)
s=t-3, t=s+3, using this value for t in the first equation gives us:
3(s+3)=4s+5
3s+9=4s+5
-s=-4
s=4
so the side length of the square is 4cm and the area of a square is just s^2
A=16cm^2
4x-12=32-7x
4x+7x=32+12
11x=44
x=4
Answer:
x=1
Step-by-step explanation:
6-3x=5x-10x+8=
move all terms to the left:
6-3x-(5x-10x+8)=0
add all the numbers together, and all the variables
-3x-(-5x+8)+6=0
get rid of parentheses
-3x+5x-8+6=0
add all the numbers together, and all the variables
2x-2=0
move all terms containing x to the left, all other terms to the right
2x=2
x=2/2
x=1