Is it an isosceles triangle
5(2x - 8) + 15 = -15
-15 -15 subtract 15 from each side
5(2x - 8) = -30
÷5 ÷5 divide both sides by 5
2x - 8 = -6
+8 +8 add 8 to each side
2x=2
÷2 ÷2 divide both sides by 3
x = 1
Checking:
5(2(1)-8) + 15 = -15
5(-6) + 15 = -15
-30 + 15 = -15
-15 = -15 Correct! x=1
General form of a linear equation is ax+by+c=0 where a,b, and c are three real numbers.
So, we can shift all the terms in one side of the equation. Hence, first step is to remove y from the left side. So, subtract y from each sides.
y-y=3x+2-y
0= 3x - y +2 (By simplifying)
So, the general form of the given equation is 3x-y+2=0.
Set the equation to 0. new equation would be y^2/36 - x^2/121 = 0
factor the new equation: (y/6 + x/11)(y/6 - x/11) = 0
y/6 + x/11 = 0 —> y = -6x/11
y/6 - x/11 = 0 —> y = 6x/11
the asymptotes would be y = -6x/11, y = 6x/11
Answer:
-18
Step-by-step explanation:
f(x) = x² - 3x -10
f(-10) = (-10)² – 3(-10) – 10
f(-10) = 100 + 30 - 10
f(-10) = 120
f(-5) = (-5)² – 3(-5) – 10
f(-5) = 25 + 15 - 10
f(-5) = 30
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The <em>average rate of change</em> is the slope m of the straight line joining the two points.
m = (y₂ - y₁)/(x₂ - x₁)
m = (30 - 120)/(-5 – (-10))
m = -90/(-5+10)
m = -90/5
m = -18
