Hello from MrBillDoesMath!
Answer:
Increasing on the interval [-5, -2]
Discussion:
The function value remains unchanged on [-2, 1] and decreases on [1,8]
Thank you,
MrB
Answer:
![\large\boxed{C.\ (2,\ -45^o)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BC.%5C%20%282%2C%5C%20-45%5Eo%29%7D)
Step-by-step explanation:
Regular coordinates (x, y)
Polar coordinates (r, φ)
![r=\sqrt{x^2+y^2}\\\\\psi=\arctan\frac{y}{x}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7Bx%5E2%2By%5E2%7D%5C%5C%5C%5C%5Cpsi%3D%5Carctan%5Cfrac%7By%7D%7Bx%7D)
We have the point
![(\sqrt2,\ -\sqrt2)](https://tex.z-dn.net/?f=%28%5Csqrt2%2C%5C%20-%5Csqrt2%29)
Substitute:
![r=\sqrt{(\sqrt2)^2+(-\sqrt2)^2}=\sqrt{2+2}=\sqrt4=2\\\\\psi=\arctan\left(\frac{-\sqrt2}{\sqrt2}\right)=\arctan(-1)=-45^o](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%28%5Csqrt2%29%5E2%2B%28-%5Csqrt2%29%5E2%7D%3D%5Csqrt%7B2%2B2%7D%3D%5Csqrt4%3D2%5C%5C%5C%5C%5Cpsi%3D%5Carctan%5Cleft%28%5Cfrac%7B-%5Csqrt2%7D%7B%5Csqrt2%7D%5Cright%29%3D%5Carctan%28-1%29%3D-45%5Eo)
First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
1. You have that t<span>he sum of three consecutive even integers is </span>
![-78](https://tex.z-dn.net/?f=-78)
<span>, therefore, you can given the variable </span>
![x ](https://tex.z-dn.net/?f=x%0A)
<span> to the first integer, the second even integer is </span>
![x+2](https://tex.z-dn.net/?f=x%2B2)
<span> and the third one is </span>
![x+4 ](https://tex.z-dn.net/?f=x%2B4%0A)
<span>.
2. Calculate x:
</span>
![x+(x+2)+(x+4)=-78](https://tex.z-dn.net/?f=x%2B%28x%2B2%29%2B%28x%2B4%29%3D-78)
<span>
</span>
![3x+6=-78](https://tex.z-dn.net/?f=3x%2B6%3D-78)
<span> </span>
![x=-28 ](https://tex.z-dn.net/?f=x%3D-28%0A)
<span>
</span>
![x+2=-28+2=-26 ](https://tex.z-dn.net/?f=x%2B2%3D-28%2B2%3D-26%0A)
<span>
</span>
![x+4=-28+4=-24 ](https://tex.z-dn.net/?f=x%2B4%3D-28%2B4%3D-24%0A)
<span>
Therefore, the answer is:</span>
Bfh ju yrdfhjjgfjkiytdcbnkl
Answer:
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.