Answer:
∠ 2 = 70°
Step-by-step explanation:
110° and ∠ 1 are corresponding angles and congruent, thus
∠ 1 = 110°
∠ 1 and ∠ 2 are adjacent angles and are supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°
Answer:
Increase of 8
Step-by-step explanation:
x = y-8
y=x+8
First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:
y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²
This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).
Or (-0.071,-1.977).</span>
The length of a circumference: l=πD
l₁=π×5=5π
l₂=π×15=15π
Then l₂÷l₁=15π÷5π=3 and the answer is B)