Before we do any solving, we need to simplify both sides.
On the left, we can simplify -2x + 3x - 5 to x - 5.
On the right, we can simplify 6 - 21 to -16.
So we have x - 5 = -16.
Solving from here, we add 5 to both sides to get x = -11.
Step-by-step explanation:
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Answer:
The answer to your question is -3
Step-by-step explanation:
Data
A (-8, -35)
B (6, 21)
Process
1.- Calculate the slope
slope = m = (y2 - y1) / (x2 - x1)
x1 = -8 y1 = -35 x2 = 6 y2 = 21
-Substitution
m = (21 + 35) / (6 + 8)
-Simplification
m = 56 / 14
-Result
m = 4
2.- Calculate the equation of the line
y - y1 = m(x - x1)
-Substitution
y + 35 = 4(x + 8)
-Simplification
y + 35 = 4x + 32
y = 4x + 32 - 35
-Result
y = 4x - 3
3.- Find the y-intercept
The y-intercept is the number after the x, for this equation is -3.
A triangle has 3 sides.
Let x be the shortest side.
X+2x+ 16+x= 164
4x= 164-16
X=148/4
X= 37 so shortest side =37
2x=37•2=74 second side =74
16+x=37+16=53 third side =53
Check 37+74+53=164 ✔️
