Steps to solve:
-1/2 + (3/4 * 4/9)
~Simplify
-1/2 + 14/36
~Simplify
-1/2 + 7/18
~Find common denominators
-9/18 + 7/18
~Add
-2/18 or -1/9
Best of Luck!
Answer:
The answer to your question is y = -5x + 32 point-slope form
5x + y - 32 = 0 general form
Step-by-step explanation:
Data
(8, -8)
⊥ x - 5y - 6 = 0
Process
1.- Get the slope of the line given
x - 5y - 6 = 0
-5y = -x + 6
y = -x/-5 + 6/-5
y = x/5 - 6/5
slope = 1/5
slope of the new line -5, because the lines are perpendicular
2.- Get the equation of the new line
y - y1 = m(x - x1)
y + 8 = -5(x - 8)
y + 8 = -5x + 40
y = -5x + 40 - 8
y = -5x + 32 point-slope form
Equal to zero to find the general form
5x + y - 32 = 0 general form
Answer: 7a^2+2a+7
Step-by-step explanation:Distribute the Negative Sign:
=9a2+7a+8+−1(2a2+5a+1)
=9a2+7a+8+−1(2a2)+−1(5a)+(−1)(1)
=9a2+7a+8+−2a2+−5a+−1
Combine Like Terms:
=9a2+7a+8+−2a2+−5a+−1
=(9a2+−2a2)+(7a+−5a)+(8+−1)
=7a2+2a+7
Answer:
150 degrees
Step-by-step explanation:
Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.
So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length
. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.
Let's find the complementary angle.
So the opposite side of the complementary angle is 5.
The adjacent side of the complementary angle is
.
![\tan(\theta)=\frac{5}{5\sqrt{3}}](https://tex.z-dn.net/?f=%5Ctan%28%5Ctheta%29%3D%5Cfrac%7B5%7D%7B5%5Csqrt%7B3%7D%7D)
![\tan(\theta)=\frac{1}{\sqrt{3}}](https://tex.z-dn.net/?f=%5Ctan%28%5Ctheta%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D)
![\theta=\tan^{-1}(\frac{1}{\sqrt{3}})](https://tex.z-dn.net/?f=%5Ctheta%3D%5Ctan%5E%7B-1%7D%28%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%29)
![\theta=30](https://tex.z-dn.net/?f=%5Ctheta%3D30)
So 90-30=60.
The answer therefore 60+90=150.
The answer is 523.6 and all you have to do is round it to the nearest hundredth