<span>Its standard form of equation: (x-h)^2=-4p (y-k), (h,k)=(x,y) coordinates of the vertex
</span><span>For given parabola: Vertex = (-8, 2)
(x-(-8))</span>² = -4p(y - 2)
<span>solve for 4p using coordinates of given point ( -7, -1)
-7+8 = 4p (-1 - 2)
1 = 4p(-3)
4p = -1/3
So, Equation of given parabola:
(x+8)</span>² = -(y-2) / 3
Hope this helps!
Step-by-step explanation:
sin x= P/H
sin x = 0.96 = 96/100 = 24/25.
Let the ratio of the sides be x.
B²=H²-P²
B²=(25x)²-(24x)²
B²=625x²-576x²
B²=49x²
B=√49x²
B= 7x.
cos x = 7x/25x = 7/25.
therefore, tan x = sin x / cos x = (24/25)/(7/25) = 24/25×25/7 = 24/7 .
hope this helps you.
Answer:
292.45 m
Step-by-step explanation:
Both disk are at an angle of 38.48°
From the image below we calculate as,
For disk B, direct distance is 1.296 km from receiver = 1296 m
Vertical height from ground will be = 1296 x sin38.48 = 806.42 m
For disk A, direct distance is 826 m from receiver
Verival height above ground = 826 x sin38.48 = 513.97 m
Difference in height between disks is 806.42 - 513.97 = 292.45 m
All you have to do is plug in the value of X in each expression for the sides of the triangle. Then after you figure out the values for the sides of the triangle in feet. Add the sides together to find the perimeter of the triangle.
Answer:
<h2>4/(x+3)</h2>
Step-by-step explanation:
write the expression down:
4x-12/x^2-9
factor:
4(x-3)/(x+3)(x-3)
simplify:
4/(x+3)