Answer:
y = 5/8 x -2
Step-by-step explanation:
Given that the slope of the line, m=5/8, which passes through the point (-8,-7).
Let the equation of the line be y=mx+c
where m is the slope of the line and c is a constant.
As m=5/8, so the equation of line become
y= 5/8x+c
As the line passes through the point (-8,-7), so putting y= -7 and x= -8, we have
-7 = 5/8(-8)+c
-7 = -5 + c
c= -7 + 5
c= -2
On putting the value of c, the equation of line become
y=5/8 x -2
Hence, the equation of the line is y = 5/8 x -2.
The value of h is 11.3.
Solution:
Given data:
The triangle is a right triangle.
θ = 45° and opposite side of θ = 8
The value of sin 45° =
Using trigonometric formula,
Do cross multiplication.
h = 11.3
The value of h is 11.3.
Answer:
S = E - 3
Sue is 53 inches tall.
Step-by-step explanation:
Let Sue's age be represented by S and Ed's by E
Equation:
S = E - 3
E = 56 inches
S = 56 - 3 = 53 inches
First, find the area of the circle using the formula A=pi r^2.
A=pi (2x+3)^2 = pi(4x^2 + 12x + 9)
Second, find the area of the rectangle inside by multiplying the polynomials.
(X+1)*(3x+2) = 3x^2 + 5x +2
Third, subtract the area of the rectangle from the area of the circle to find the area of the shaded region.
pi(4x^2 + 12x + 9) - 3x^2 + 5x +2 =area of shaded region
Or
(pi (2x+3)^2) - ((X+1)(3x+2)) = area of shaded region