Answer:
Step-by-step explanation:
The x-intercept of a line exists where y = 0. So first we will set each of those lines = 0:
4x - 18 = 0 and -2x + k = 0. In order for the x-intercepts to be equal, we have to solve each equation for x and then set those expressions equal to each other.
4x = 18 so
x = 9/2.
-2x = -k so
x = k/2. If the x-intercepts are the same value, then
so, obviously,
k = 9
Answer:
Step-by-step explanation:
Answer:
The length of the string is 32.56 feet (Approx) .
Step-by-step explanation:
As given
A kite is 37 feet in the air and string forms an angle of 62 degrees .
Now by using the trignometric identity.
![sin\theta = \frac{Perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=sin%5Ctheta%20%3D%20%5Cfrac%7BPerpendicular%7D%7BHypotenuse%7D)
As shown in the figure given below.
![\theta = 62^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2062%5E%7B%5Ccirc%7D)
Perpendicular = AB
Hypotenuse = AC = 37 feet
Put in the identity .
![sin\ 62^{\circ} = \frac{AB}{AC}](https://tex.z-dn.net/?f=sin%5C%2062%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7BAB%7D%7BAC%7D)
![sin\ 62^{\circ} = \frac{AB}{37}](https://tex.z-dn.net/?f=sin%5C%2062%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7BAB%7D%7B37%7D)
![sin\ 62^{\circ} = 0.88\ (Approx)](https://tex.z-dn.net/?f=sin%5C%2062%5E%7B%5Ccirc%7D%20%3D%200.88%5C%20%28Approx%29)
Put in the identity
![0.88 = \frac{AB}{37}](https://tex.z-dn.net/?f=0.88%20%3D%20%5Cfrac%7BAB%7D%7B37%7D)
AB = 0.88 × 37
AB = 32.56 feet (Approx)
Therefore the length of the string is 32.56 feet (Approx) .
Answer:
the difference between is 4/12 witch could be divided to 1/3
Answer:
f(x) = (x- 10)(x + 4)
Step-by-step explanation: