Answer:
d
Step-by-step explanation:
given that your slop is -4/3, plug the (x,y) point in to the equation of y = -4x/3 +b
-1 = -4 + b , b = 3
y = -4x/3 + 3
Answer: f(12) = 137, f(-7) = 42
Step-by-step explanation: In a function, what you want to do is plug in the value they give you for x. This means you substitute x with the value they are looking for.
In this case, they are looking at 12 and -7. Let's do 12 first.
The equation becomes (12^2) - 7. 12^2 is 144, and 144-7 is 137.
Now we do -7. The equation becomes (-7)^2 - 7. -7^2 is 49, and 49 - 7 is 42.
Hope this helped!
Answer:
8
Step-by-step explanation:
4x=32
÷4 ÷4
__________
x=8
Answer:
3/2
Step-by-step explanation:
sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =
Use 
so
Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the house and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the house represents the adjacent side of the right angle triangle.
To determine the height, h that the ladder reaches, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 62 = h/12
h = 12Sin62
h = 12 × 0.8829
h = 10.6 feet
