Answer:
x=5, y=2
Step-by-step explanation:
To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-
y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-(3) since y=3, and we'll get x=7-
, or x=7-2, or x=5.
x=5
y=2
Answer:
B) 6, 8, 10
Step-by-step explanation:
All right triangles will follow the following theorem (Pythagorean theorem):
, where 
and 
are two legs of the triangle and 
is the hypotenuse. Out of all answer choices, only B) 6, 8, 10 follow this theorem.
Im am very excited aswell. I cant wait to learn what you have to teach me.i love that you are my teacher and i really hope for the best. I cant imagin being in your place right now, you have a bunch of students and they must all have at least one question. It probably gets hard somtimes but thats when you have to power through. I will help you as much as i can because it is what i do. When you tell me that your excited it gives me hope, hope that i will suceed and finish this class better then i was when i started. I am 100% way more excited then your are. Than you so much for this oppertunity.
I am taking this class because i want to iprove in math. I love math and i want to see myself get better. THank you again for everything.
Given:
The expression is:
To find:
The resulting polynomial in standard form.
Solution:
We have,
Write subtraction of a polynomial expression as addition of the additive inverse.
Rewrite terms that are subtracted as addition of the opposite.
Group like terms.
![[6m^5+m^5]+[3+(-6)]+[(-m^3)+(-2m^3)]+[(-4m)+4m]](https://tex.z-dn.net/?f=%5B6m%5E5%2Bm%5E5%5D%2B%5B3%2B%28-6%29%5D%2B%5B%28-m%5E3%29%2B%28-2m%5E3%29%5D%2B%5B%28-4m%29%2B4m%5D)
Combine like terms.
On simplification, we get
Write the polynomial in standard form.
Therefore, the required polynomial in standard form is .
