Step-by-step explanation:
y=2(x+3)² y=x²
x²=2(x²+9+6x)
x²=2x²+18+12x
0=x²+18+12x
x²+18+12x=0
Answer:
115°
Step-by-step explanation:
The angles are equivalent to each other.
They will have the same measure
Answer:
A = 56 in²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = 
h (b₁ + b₂ )
h is the perpendicular height between bases and b₁, b₂ the bases
here h = 7 , b₁ = 10 , b₂ = 6 , then
A = × 7 × (10 + 6) = 3.5 × 16 = 56 in²
Answer:
-3
Step-by-step explanation:
We know that both the larger triangle is dialated by some factor.
To start divide the two given sides:
36/24=1.5
This means that the larger triangle is dialated by a factor of 1.5, meaning that all sides of the smaller triangle must be multipled by 1.5 to get the larger triangle.
By knowing that we can multiply 3x-7 by 1.5 and set it equal to 6x-6.
1.5(3x-7)=6x-6
4.5x-10.5=6x-6
-6x+4.5x=10.5-6
-1.5x=4.5
x=(4.5)/(-1.5)
x= -3
Answer:
slope of line that is parallel is 1/2
slope of line that is perpendicular is -2
Step-by-step explanation:
parallel lines have the same slope
perpendicular lines have slopes that are opposite and reciprocal
x - 2y = -1
-2y = -x -1
y = 1/2x + 1/2
the coefficient of the 'x' term represents the slope
