Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
Deriving The Answer:
By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.
Now, the point-slope form exists as y - y₁ = m ( x - x₁)
since slope = -8 and the point on the line = (-4 , 7)
Then m = - 8
x₁ = - 4
y₁ = 7
⇒ y - 7 = -8 ( x - (-4))
⇒ y - 7 = -8x - 32
⇒ y + 8x = - 25
I recommend learning the mnemonic SOHCAHTOA (it's very fun to say!)
Here is what SOHCAHTOA represents.
Sin - Opposite / Hypotenuse (SOH)
Cos - Adjacent / Hypotenuse (CAH)
Tan - Opposite / Adjacent (TOA)
The sine of an angle is the length of the side opposite of the angle divided by the length of the hypotenuse.
Thus, the length of the side opposite of the angle divided by the sine will give us the length of the hypotenuse.
The angle is 46 degrees. The length of the side opposite of the angle is 14. The hypotenuse is c.
![c= \dfrac{14}{\sin{46^o}}](https://tex.z-dn.net/?f=c%3D%20%5Cdfrac%7B14%7D%7B%5Csin%7B46%5Eo%7D%7D%20)
![\approx 19.46](https://tex.z-dn.net/?f=%5Capprox%2019.46)
The tangent of an angle is the length of the side opposite of the angle divided by the length of the side adjacent to the angle.
Thus, the length of the side opposite to the angle divided by the tangent of the angle will give us the length of the other leg.
The length of the side opposite to the angle is 14. The angle is 46. The unknown length of the side adjacent to the angle is b.
![b=\dfrac{14}{\tan{46^o}}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B14%7D%7B%5Ctan%7B46%5Eo%7D%7D)
![\approx 13.52](https://tex.z-dn.net/?f=%5Capprox%2013.52)
This should be what you are looking for. Enjoy!
The answer is d. I got that by adding 1/3 + 1/3 + 1/3 + 1/2 + 2/3 = 2 1/6
Answer:
f(x) = x * -3
Step-by-step explanation:
so, you have x and you have f(x), as you can see -4 turns into 12... you basically have to divide, multiply, add or subtract for each value to see what they have in common, here it's easy since -4 * -3 is 12, -2 * -3 is 6, 0 * -3 is 0, etc etc. hope it helped : )