Answer:
y = (x - 4)^2 + 5.89
Step-by-step explanation:
The x-coordinate of the vertex is 4, and x = 4 is the axis of symmetry.
The general vertex equation of a parabola is
y = a(x - h)^2 + k, where the vertex is (h, k) and a is a constant coefficient, not yet known.
We know that this parabola passes through the point (7.3, 5), and so we can substitute 7.3 for x and 5 for y in the above equation, obtaining:
5 = a(x - 4)^2 + k
Let's assume that a = 1. Then
5 = (7.3 - 4)^2 + k.
Simplifying, we get
5 = 3.3^2 + k, or 5 = 10.89 + k. Then k = -5.89, and the equation is then
y = (x - 4)^2 + 5.89
Answer:
i will help you
Step-by-step explanation:
Answer:
Step-by-step explanation:
SOHCAHTOA
Sine is opposite over hypotenuse
Cosine is adjacent over hypotenuse
Tangent is opposite over adjacent
In this context, opposite means the side opposite of the angle. Adjacent means the side that is touching the angle. And the hypotenuse is the longest side, which is usually visually obvious.
3.) tan(25) = x/31
Use a calculator for tan(25), then multiply both sides by 31 to get your x value.
x = 14.5
4.) cos(48) = 17/x
Use a calc to do 17/cos(48) to get the x value
x = 25.4
5.) sin(theta) = 17/18
Divide 17/18, then take the inverse sine of both sides with a calculator to get the theta value
theta = 70.8 degrees
6.) tan(theta) = 31/42
Divide 31/42, then take the inverse tangent of both sides with a calc.
theta = 36.4 degrees
7.) Your best bet is to draw a picture. For my case, Im going to imagine it. The angle is 35 degrees and the hypotenuse is 300 feet. The question is asking for the opposite of the angle. This calls for sine.
sin(35) = x/300
x = 172.1 feet
