Answer: Peyton
Step-by-step explanation:
Michelle: Greatest common factor is 1
Naomi: Greatest common factor is abc
Olivia: Greatest common factor is 2ab
Peyton: Greatest common factor is ab
Answer:
whats the question
Step-by-step explanation:
Answer:
(8,-1)
Step-by-step explanation:
Given : ![x^{2} +y^{2} =65](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%3D65)
![x+y=7](https://tex.z-dn.net/?f=x%2By%3D7)
To Find: solution of given system of equations.
Solution:
Equation a : ![x^{2} +y^{2} =65](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%3D65)
Equation b : ![x+y=7](https://tex.z-dn.net/?f=x%2By%3D7)
Substitute the value of y from equation b in equation a
y from equation b : y = 7-x
Now substitute value of y in equation a
Thus equation a becomes:
![x^{2} +(7-x)^{2} =65](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%287-x%29%5E%7B2%7D%20%3D65)
![x^{2} +49+x^{2}-14x =65](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B49%2Bx%5E%7B2%7D-14x%20%3D65)
![2x^{2} -14x =65-49](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20-14x%20%3D65-49)
![x^{2} -7x -8=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-7x%20-8%3D0)
![x^{2} -8x+x -8=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-8x%2Bx%20-8%3D0)
![x(x-8)+1(x-8)=0](https://tex.z-dn.net/?f=x%28x-8%29%2B1%28x-8%29%3D0)
![(x+1)(x-8)=0](https://tex.z-dn.net/?f=%28x%2B1%29%28x-8%29%3D0)
⇒ x= -1 and x = 8
Now substitute values of x in equation b to obtains values of y
⇒ ![x+y=7](https://tex.z-dn.net/?f=x%2By%3D7)
for x = -1
⇒ ![-1+y=7](https://tex.z-dn.net/?f=-1%2By%3D7)
⇒ ![y=7+1](https://tex.z-dn.net/?f=y%3D7%2B1)
⇒ ![y=8](https://tex.z-dn.net/?f=y%3D8)
Thus (x,y)=(-1,8)
For x =8
⇒ ![8+y=7](https://tex.z-dn.net/?f=8%2By%3D7)
⇒ ![y=7-8](https://tex.z-dn.net/?f=y%3D7-8)
⇒ ![y=-1](https://tex.z-dn.net/?f=y%3D-1)
Thus (x,y)=(8,-1)
Hence Option A is the correct solution .
<u>The angle based on the diameter is always right</u>
Then <ABC=90 and ∠BAC=∠ACB=45° ; and ∠BCD=180-45=135 then x=(180-135):2=22,5°
Answer:
n = -13
Step-by-step explanation:
19 + 10n = 7n - 20
Subtract 7n from each side
19 + 10n-7n = 7n-7n - 20
19+3n = -20
Subtract 19 from each side
19+3n -19 = -20-19
3n = -39
Divide each side by 3
3n/3 = -39/3
n = -13