Answer:
94.7
Step-by-step explanation:
15.50+10*0.99*8
<span>If xy plane line is y=2x+4, y=x-5 will intercept at which point? (-9,-14)</span>
Answer:
6 units long.
Step-by-step explanation:
Given:
A polygon drawn on a graph.
In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.
Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.
Coordinates of A are
as seen in the graph.
Coordinates of B are
as seen in the graph.
Now, distance formula for two points
is:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d_{AB}=\sqrt{(3-(-3))^2+(4-4)^2}\\d_{AB}=\sqrt{(3+3)^2+0}\\d_{AB}=\sqrt{36}=6\ units](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%5C%5Cd_%7BAB%7D%3D%5Csqrt%7B%283-%28-3%29%29%5E2%2B%284-4%29%5E2%7D%5C%5Cd_%7BAB%7D%3D%5Csqrt%7B%283%2B3%29%5E2%2B0%7D%5C%5Cd_%7BAB%7D%3D%5Csqrt%7B36%7D%3D6%5C%20units)
Therefore, the horizontal line at the top is 6 units long.
Answer:
15
Step-by-step explanation:
2(5) +5
10 + 5 = 15
6 sin 2x = 6 cos x Using the identity sin 2x = 2 sin x cos x:-
12 sin x cos x = 6 cos x
6 cos x ( 2 sin x - 1) = 0
either 6 cos x = 0 or 2 sin x - 1 = 0 so sin x = 1/2
x = pi/2, 3pi/2 , pi/6, 5pi / 6
answer is ( pi/6, pi/2, 5pi/6, 2pi/2)