Answer:
J(-2, -0.5), K(0, 2), L(-2, -1)
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Simplifying
9x + -25 = 5x + 7
Reorder the terms:
-25 + 9x = 5x + 7
Reorder the terms:
-25 + 9x = 7 + 5x
Solving
-25 + 9x = 7 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-25 + 9x + -5x = 7 + 5x + -5x
Combine like terms: 9x + -5x = 4x
-25 + 4x = 7 + 5x + -5x
Combine like terms: 5x + -5x = 0
-25 + 4x = 7 + 0
-25 + 4x = 7
Add '25' to each side of the equation.
-25 + 25 + 4x = 7 + 25
Combine like terms: -25 + 25 = 0
0 + 4x = 7 + 25
4x = 7 + 25
Combine like terms: 7 + 25 = 32
4x = 32
Divide each side by '4'.
x = 8
Simplifying
x = 8
Check the slopes
the first 2 points have slope (3-1) / (5-1) = 2/4 = 1/2
points 2 and 3 slope = 4/2 = 2
3 and 4:- slope = -2/-4 = 1/2
4 and 1:- slope = 4/2 = 2
so we have 2 pairs of opposite sides which are parallel
looks like a parallelogram or a rhombus
if adjacent sides are equal its a rhombus
length betwee pts 1 and 2 = sqrt(2^2 + 4^2) = sqrt20
.. ... ... .. .. .. ...2 and 3 = sqrt(4^2 + 2^2) = sqrt20
so it is a rhombus
Answer:
what is the rest of the equation?
Step-by-step explanation:
Answer:
x=-6
QUESTION 31
Step-by-step explanation:
3x+5=2x-1
Subtract 5 from both sides
3x+5-5=2x-1-5
Simplify
3x=2x-6
Subtract 2x from both sides
3x-2x=2x-6-2x
QUESTION 32
1/3(6x+12) = 1/2(4x-8) + 8
1/2(4x-8) = 4x-8/2 +8
1/3(6x+12) = 4x-8/2 +8
2(6x+12) = 12(x-2) + 48
12x+24
12x+24 = 12x+24
12x+24 - 24 = 12x+24 - 24
12x=12x
0=0
