Answer:
You would use B. 1239 times .0625
Step-by-step explanation:
I am assuming the computer costs 1239. Since percent means 'per hundred' you first need to convert percent into decimals. You would divide 6.25 by 100, giving you .0625. Multiplying the computer price and this decimal will give you the discount price.
Answer:
The Correct option is Last one ![y=-4x-4](https://tex.z-dn.net/?f=y%3D-4x-4)
Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line
is ![y=-4x-4](https://tex.z-dn.net/?f=y%3D-4x-4)
Step-by-step explanation:
Given:
![y=-4x-3](https://tex.z-dn.net/?f=y%3D-4x-3)
To Find:
Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3
Solution:
..........Given
Comparing with Slope-Intercept form,
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
Where m =slope
We get
![Slope = m = -4](https://tex.z-dn.net/?f=Slope%20%3D%20m%20%3D%20-4)
We know that parallel lines have Equal slopes.
Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.
Now the equation of line in slope point form given by
![(y-y_{1})=m(x-x_{1})](https://tex.z-dn.net/?f=%28y-y_%7B1%7D%29%3Dm%28x-x_%7B1%7D%29)
Substituting the points and so we will get the required equation of the line,
![(y-4))=-4(x-(-2))=-4x-8\\\\y=-4x-8+4=-4x-4\\\\y=-4x-4......Equation\ of\ line](https://tex.z-dn.net/?f=%28y-4%29%29%3D-4%28x-%28-2%29%29%3D-4x-8%5C%5C%5C%5Cy%3D-4x-8%2B4%3D-4x-4%5C%5C%5C%5Cy%3D-4x-4......Equation%5C%20of%5C%20line)
Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line
is ![y=-4x-4](https://tex.z-dn.net/?f=y%3D-4x-4)
Answer:
28.7 meters
Step-by-step explanation:
Draw a diagram. Let's say d is the distance between the anchor and the bottom of the tower, h is the height of the tower, and x is the length of the wire.
Using trigonometry, we can write two equations for the height of the tower:
h = d tan 65°
h = (d + 25) tan 35°
Setting these equal, we can solve for d.
d tan 65° = (d + 25) tan 35°
d tan 65° = d tan 35° + 25 tan 35°
d (tan 65° − tan 35°) = 25 tan 35°
d = 25 tan 35° / (tan 65° − tan 35°)
d ≈ 12.12
Now we can find x:
cos 65° = d / x
x = d / cos 65°
x ≈ 28.7
The wire is approximately 28.7 meters long.
7^6=117649
7^5=16807
7^4=2401
117649+16807-2401=132055
132055/11=12005
Because the above division problem led to the result of a whole number (or integer), that means that the number given is divisible by 11.