Answer:
y = -3.5x - 12
Step-by-step explanation:
Find the slope with rise over run: (y2 - y1) / (x2 - x1)
Plug in the points:
(9 + 5) / (-6 + 2)
14/-4
= -3.5
Then, plug this and a point into the equation y = mx + b to find b:
y = mx + b
9 = -3.5(-6) + b
9 = 21 + b
-12 = b
Then, plug this and the slope into the equation again:
y = mx + b
y = -3.5x - 12 will be the equation
The square root of 78 is an irrational number, so the exact number
can't be written down, no matter how long you make the decimal.
If I say it's 8.8318, then my answer is too big, but only by about 0.0004 percent.
What are we supposed answer towards this question?
Answer:
Step-by-step explanation:
We are to show that 1/1-sin theta + 1/1+cos theta = 2×sec square theta
Starting from the left hand side of the expression:
1/1-sin theta + 1/1+cos theta
Find the LCM
![\frac{1}{(1 -sin \theta) (1+cos \theta)} \\\\= \frac{1+cos \theta + 1 -sin \theta ]}{(1 -sin \theta) (1+cos \theta)} \\ = \frac{2+cos \theta - sin \theta}{1+cos \theta - sin \theta - sin \theta cos \theta}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%281%20-sin%20%5Ctheta%29%20%281%2Bcos%20%5Ctheta%29%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B1%2Bcos%20%5Ctheta%20%2B%201%20-sin%20%5Ctheta%20%5D%7D%7B%281%20-sin%20%5Ctheta%29%20%281%2Bcos%20%5Ctheta%29%7D%20%5C%5C%20%3D%20%5Cfrac%7B2%2Bcos%20%5Ctheta%20-%20sin%20%5Ctheta%7D%7B1%2Bcos%20%5Ctheta%20-%20sin%20%5Ctheta%20-%20sin%20%5Ctheta%20cos%20%5Ctheta%7D)
Answer:
Step-by-step explanation:
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.
