Answer:
y = 7x/8 - 53/8
Step-by-step explanation:
P(3,-4)
x = -7y/8 + 3
Isolate y and translate to slope-intercept form:
y = mx + b
x = -7y/8 + 3
x - 3 = -7y/8
8x - 24 = -7y
y = -8x/7 - 24/7
The slope of the equation is -8/7
The slope of the new equation will be perpendicular to the slope of the given equation which means it is the negative reciprocal.
y = mx + b where m = -1/(-8/7) = 7/8
y = 7x/8 + b
Plug in know values and solve for b:
-4 = 7(3)/8 + b = 21/8 + b
-4 - 21/8 = b
b = -32/8 -21/8 = -53/8
Plug in b into the equation:
y = 7x/8 - 53/8
Answer:
Find the answer below.
Step-by-step explanation:
1. A = {mountain, valley, plateau, plains and hills}
- A landform refers to a geomorphic or natural feature of the Earth's surface, which typically makes its terrain.
2. B = {23, 29, 31, 37 and 41}
- A prime number can be defined as any number that is greater than one (1) and can only be divided by itself or one (1). In this case, they are greater than 20 but less than 50.
3. C = {2, 4, 8, 10 and 12}
- An even number can be defined as any number that can be divided by two (2) without any remainder. In this instance, they should be between one (1) and twenty (20).
4. D = {2/3, 1/2, 3/4, and 1/5}
- A fraction that is less than one (1) refers to a proper fraction. Therefore, proper fractions must have the value of their numerator to be less than the value of their denominator.
5. E = {ant, angel, angle, anaconda, and ark}
- A noun can be defined as the name of any place, people, animal or things. In this context, the nouns should all start with the letter "a."
Answer:
it is 105
Step-by-step explanation:
but I'm not 100% sure
Check the picture below.
now, notice, for the angle hAC, the hypotenuse is hA, and the adjacent side is CA, therefore,
![\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad cos(hAC)=\cfrac{5}{hA}\implies hA=\cfrac{5}{cos(hAC)} \\\\\\ hA=\cfrac{5}{cos\left[ \frac{cos^{-1}\left( \frac{5}{13} \right)}{2} \right]}](https://tex.z-dn.net/?f=%5Cbf%20cos%28%5Ctheta%29%3D%5Ccfrac%7Badjacent%7D%7Bhypotenuse%7D%5Cqquad%20cos%28hAC%29%3D%5Ccfrac%7B5%7D%7BhA%7D%5Cimplies%20hA%3D%5Ccfrac%7B5%7D%7Bcos%28hAC%29%7D%0A%5C%5C%5C%5C%5C%5C%0AhA%3D%5Ccfrac%7B5%7D%7Bcos%5Cleft%5B%20%5Cfrac%7Bcos%5E%7B-1%7D%5Cleft%28%20%5Cfrac%7B5%7D%7B13%7D%20%5Cright%29%7D%7B2%7D%20%5Cright%5D%7D)
make sure your calculator is in Degree mode, if you need the angle in degrees.
