Answer:
The equation of this line would be y = 3/2x - 11, which is the answer D.
Step-by-step explanation:
In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is -2/3, which means the new slope will also be 3/2 because perpendicular lines have opposite and reciprocal slopes. Now, we can use this slope along with the point in point-slope form to find the equation of the line.
y - y1 = m(x - x1)
y - 1 = 3/2(x - 8)
y - 1 = 3/2x - 12
y = 3/2x - 11
Answer:
see explanation
Step-by-step explanation:
a
The tangent and the radius at the point of contact form a right angle
Using Pythagoras' identity on the right triangle formed.
Let x be the distance from the centre to P, then
x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
x = 
≈ 10.77 cm (to 2 dec. places )
b
let the required angle be Θ, then
Using the sine or cosine ratio in the right triangle.
cosΘ = 
= 
Θ = 
( ) ≈ 21.8°
Answer:
562
Step-by-step explanation:
Answer: Feet to yards, all other are inconsistent.
Step-by-step explanation:
Answer:
The park ranger bought 2 redwood trees and 10 spruce trees.
Step-by-step explanation:
24 * 2 = 48
208 - 48 = 160
160 / 16 = 10
