Tan(30°) = 17/x
x = 17/tan(30°) = 17√3
The hypotenuse of the smaller triangle is as you show, 34.
sin(45°) = 34/y
y = 34/sin(45°) = 34√2
x = 17√3
y = 34√2
Slope for f(x):
Slope for g(x)
y = mx + b
y = 5x + 1
m = 5
The slope for f(x) is twice the slope of g(x).
B. f(x)'s y-intercept is -1 because y = -1 when x = 0. g(x)'s y-intercept is 1 because 1 is in the "b" spot in y = mx + b. g(x) has the greater y-intercept.
Answer:
Axis of Symmetry = -4
Vertex = (-4,7)
Step-by-step explanation:
A) (2+6) x (6+3) = 72 in^2
b) width: 6 + 2 = 8
length: 6 + 3 = 9
Because the green part is a square, so the width is just 6 in plus 2 in.
Now, we also know the height of the blue rectangle, 8 in.
The area of the blue rectangle is 24in^2 --> 24/8 = 3. The width of the blue rectangle is 3in.
3 + 6 is the length of the entire figure