K=4
add seven on both sides
2x-4y=7
add 4y on both sides
2x=7+4y
divide 2 on both sides
x=7+4y/2
plug that into original equation
2(7+4y/2)-4y-7=0
7 and 4y cancel out
2(2)=0
4=0
Answer:
![5-6+11=-6+16=10](https://tex.z-dn.net/?f=5-6%2B11%3D-6%2B16%3D10)
Step-by-step explanation:
![5-6+11=-6+16=10](https://tex.z-dn.net/?f=5-6%2B11%3D-6%2B16%3D10)
I’m assuming a. Or 26 since it’s the only number within the range
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) .
Let
x---------> the thickness of the frame in feet
At-------> Area of the mirror and the frame in square feet
we know that
------> equation ![1](https://tex.z-dn.net/?f=%201%20)
--------> equation ![2](https://tex.z-dn.net/?f=%202%20)
equate equation
and equation ![2](https://tex.z-dn.net/?f=%202%20)
![19.25=4x^{2} +16x+15\\ 4x^{2} +16x+15-19.25=0\\ 4x^{2} +16x-4.25=0](https://tex.z-dn.net/?f=%2019.25%3D4x%5E%7B2%7D%20%2B16x%2B15%5C%5C%204x%5E%7B2%7D%20%2B16x%2B15-19.25%3D0%5C%5C%204x%5E%7B2%7D%20%2B16x-4.25%3D0%20)
therefore
the answer is the option
![C. 4x2 + 16x - 4.25 = 0](https://tex.z-dn.net/?f=%20C.%204x2%20%2B%2016x%20-%204.25%20%3D%200%20)