Answer:

Step-by-step explanation:
Here, we add up two polynomials shown.
The polynomials are:
![[-m^2 + 6]+[-4m^2 +7m + 2]](https://tex.z-dn.net/?f=%5B-m%5E2%20%2B%206%5D%2B%5B-4m%5E2%20%2B7m%20%2B%202%5D)
In order to add up the 2 polynomials shown, we have to see the "like terms" and add them up.
We add up the "
" terms and the constant (number) terms. There is one term with "m", so we leave it like that. Let's add up. Shown below:\
![[-m^2 + 6]+[-4m^2 +7m + 2]\\=-m^2-4m^2+6+2+7m\\=-5m^2+7m+8](https://tex.z-dn.net/?f=%5B-m%5E2%20%2B%206%5D%2B%5B-4m%5E2%20%2B7m%20%2B%202%5D%5C%5C%3D-m%5E2-4m%5E2%2B6%2B2%2B7m%5C%5C%3D-5m%5E2%2B7m%2B8)
This is the sum of the 2 polynomials shown: 
Both angles WILL have the same measure.
So,
3x-10= x+40 (you have to set the equations equal to one another)
Now, add 10 to both sides.
3x=x+50
Subtract x on both sides.
2x=50
Divide both sides by 2.
x=25
Now, plug in x.
(25 +40)= 65
(3(25)-10)= 65
x equals 25 and both angles are equal to 65. Or "B".
I hope this helps!
~cupcake
Answer:
x = -5
y = 1
Step-by-step explanation:
-5x - 8y = 17
x = -5
y = 1
2x - 7y = -17
x = -5
y = 1
Hello,
In order for lines to be parallel to each other, they need to have the same slope. So, let's plug in the points and slope for point-slope form.
The equation for point-slope form is: y-y1 = m (x-x1)
Let's plug in the points into the equation.
y-5 = m (x-0), and then let's plug in the slope for "m" : y-5 = 3 (x-0).
After plugging the numbers in, the equation is simplified to y-5 = 3 (x-0). Then distribute the 3 to the parenthesis. y-5 = 3x. To get y by itself, you need to add 5 to both sides. After that, the equation parallel to that equation is: y = 3x + 5.
Hope this helps! =)
Answer:
Step-by-step explanation:
<em>Note. It should read 3/4 of an inch.</em>
- 3/4 in = 3 miles
- x in = 25 miles
<u>Cross multiply and solve for x:</u>