Answer:
Brain travelled 687.68 from the cliff.
Step-by-step explanation:
Given that:
Height of the cliff = 520
Base of the cliff = 450
The distance will form the hypotenuse of right angled triangle.
Pythagorean theorem states square of hypotenuse of right angled triangle is equal to the sum of squares of base and height of triangle.
Using pythagorean theorem;
a = 520, b=450, c = hypotenuse

Taking square root on both sides

Hence,
Brain travelled 687.68 from the cliff.
11500 is the original price of the motorcycle
Answer: y = -2x - 5
Step-by-step explanation:
The condition for parallelism is that m1 = m2 ie, the gradient of the two lines must be equal.
from the equation given,
y = -2x + 8, m1 = -2, therefore m2 = -2. Since the two line passes through the coordinate of (-1, -3 ) , we substitute for x and y in the equation of a line
y = mx + c to get the value of , the y - intersect.
-3 = -2 x -1 + c
-3 = 2 + c
solve for c
c = -3 - 2
c = -5.
now , to have the equation of the line , we put c = -7 into the equation
y = mx + c
y = -2x - 5
Therefore the equation of the line parallel to the line
y = -2x + 8 is
y = -2x - 7
Answer:
They exceed their goal by $150.
Step-by-step explanation:
If x = weekday shows and y = weekend shows, then
50(15) + 150(6)
750 + 900 = 1650
1650 - 1500 = 150