Answer:
x = 30
Step-by-step explanation:
So we're going to start by finding the other angles of the triangle which x is part of. So we know that a line adds up to 180 degrees. So we can find the angle that's close to N. If you know which one I'm talking about.
105 + 45 = 150. So then we can subtract 150 from 180
180 - 150 = 30
And for the angle at angle L, it's also 90 degrees.
So we know that the angles that add up so far are 120.
Now we'll make an equation:
2x + 120 = 180
Because all angles of a triangle add up to 180
So we subtract 120 from both sides
2x = 60
Now we divide 2 form both sides.
x = 30
So, x = 30
B. b(x) = (50x) - 150
C. f(x) was moved down 150 units
I hope this helps!
You can't solvd monomials because they are just 1 term multiplication :
example: 2a , or 14
Answer:
Step-by-step explanation:
<h3>A.</h3>
The equation for the model of the geyser is found by substituting the given upward velocity into the vertical motion model. The problem statement tells us v=69. We assume the height is measured from ground level, so c=0. Putting these values into the model gives ...
h(t) = -16t² +69t
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<h3>B.</h3>
The maximum height is at a time that is halfway between the zeros of the function.
h(t) = -16t(t -4.3125) . . . . . has zeros at t=0 and t=4.3125
The maximum height will occur at t=4.3125/2 = 2.15625 seconds. The height at that time is ...
h(t) = -16(2.15625)(2.15625 -4.3125) = 16(2.15625²) ≈ 74.39 . . . feet
The maximum height of the geyser is about 74.4 feet.
The answer is X=3 or x=5/3