Answer:
x=3 y=4
Step-by-step explanation:
x+y=7; x + 2y =11
step: solve x + y = 7 for x:
x + y+ -y =7 + -y (add -y to both sides)
x = -y + 7
step: substitute -y + 7 for x in x + 2y =11:
x + 2y = 11
-y + 7 + 2y = 11
y + 7 =11(simplify both sides of the equation)
y + 7 + -7 = 11 + -7 (add -7 to both sides)
y = 4
step: substitute 4 for y in x = -y + 7:
x = -y +7
x = -4 + 7
x = 3 (simplify both sides of the equation)
We need to distribute the term 4x to x - 6. Basically, we need to multiply 4x by x, which gives us 4x², and 4x by -6, which gives us -24x. Putting our two derived terms together, we get 4x²- 24, which is your answer. Hope this helps and have a great day!
-4y+5x=8
3y-3x=-3 --> divide by (3) y-x=-1
then multiply by (4) 4y-4x=-4
-4y+5x=8
4y-4x=-4
---------------
x=4
then plug x=4 in
4y-4x=-4
4y-4(4)=-4
4y-16=-4
4y=12
y=3
solution: (4;3)
Given:
The two functions are:


To find:
The value of
.
Solution:
We have,


We know that,


![(h\circ g)(b)=[(5b-9)-1]^2](https://tex.z-dn.net/?f=%28h%5Ccirc%20g%29%28b%29%3D%5B%285b-9%29-1%5D%5E2)
![(h\circ g)(b)=[5b-10]^2](https://tex.z-dn.net/?f=%28h%5Ccirc%20g%29%28b%29%3D%5B5b-10%5D%5E2)
Putting
, we get
![(h\circ g)(-6)=[5(-6)-10]^2](https://tex.z-dn.net/?f=%28h%5Ccirc%20g%29%28-6%29%3D%5B5%28-6%29-10%5D%5E2)
![(h\circ g)(-6)=[-39-10]^2](https://tex.z-dn.net/?f=%28h%5Ccirc%20g%29%28-6%29%3D%5B-39-10%5D%5E2)
![(h\circ g)(-6)=[-49]^2](https://tex.z-dn.net/?f=%28h%5Ccirc%20g%29%28-6%29%3D%5B-49%5D%5E2)

Therefore, the value of
is 2401.
RQS is obtuse angle and TQS is acute angle