![\sin(45) = \frac{7 \sqrt{2} }{2} \div x \\ x = \frac{7 \sqrt{2} }{2} \div \sin(45 ) \\ x = \frac{7 \sqrt{2} }{2} \times \frac{ \sqrt{2} }{2} \\ x = \frac{7 \times 2}{2} \\ x = 7](https://tex.z-dn.net/?f=%20%5Csin%2845%29%20%3D%20%20%20%5Cfrac%7B7%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20%5Cdiv%20x%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B7%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20%5Cdiv%20%20%5Csin%2845%20%29%20%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B7%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20%5Ctimes%20%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B7%20%5Ctimes%202%7D%7B2%7D%20%5C%5C%20x%20%3D%207%20%20%20)
option with 7 as the answer is correct
Answer:2In2-2In3
Step-by-step explanation:
In(4/9)
In4-In9
In2^2-In3^2
2In2-2In3
Answer:
4 m
Step-by-step explanation:
The equation can be written ...
y = (x/4)² = (1/16)x²
where the divisor 4 is the horizontal scale factor that makes the parabola 8 m wide at y = 1 m.
This can also be written as ...
y = 1/(4p)x² = (1/16)x²
from which we can see ...
4p = 16
p = 4
In this form, p is the distance from the vertex to the focus, 4 meters.
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Another way to find the y-coordinate of the focus is to draw a line with slope 1/2 through the vertex. It will intersect the parabola at the point where the vertical distance to the directrix is the same as the horizontal distance to the focus. The y-coordinate of that point is the y-coordinate of the focus.
You would just plug the values into the slope-intercept formula which is y=mx+b. m is representative of the slope, and b is representative of the y-intercept. The equation would be y=-9x+5
It is 5 because of the Pythagorean Theorem. 4^2 + 3^2 = c^2
16 + 9 = 25
v25 = 5