The solution is (-4,3)
-3x-3y=3
y=-5x-17
so find the y in the first equation in terms of x
-3x-3y=3
-3y=3x+3
y=-x-1
then set the two equations equal to each other
y=-x-1
y=-5x-17
-x-1=-5x-17
4x=-16
x=-4
now put the x into one of the equations
-3(-4)-3(y)=3
12-3y=3
-3y=-9
y=3
so the solution is (-4,3)
to check it, put the points into equations and see if they're correct
-3(-4)-3(3)=3
12-9=3
3=3 correct
3=-5(-4)-17
3=20-17
3=3 correct
Answer:
1. r = ![\sqrt[3]{\frac{3v}{4\pi } }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3v%7D%7B4%5Cpi%20%7D%20%7D)
divide v by 4/3, this is the same as multiplying v by 3/4 so you have 3v/4
then divide v by
so you now have 3v/4
then get rid of the ^3 on r by putting the solution for r under a ∛
2. a) The equation might need to be written in terms of a because you may not know the value of a, but you know the value of everything else. If this is the case then you can simply rewrite the equation so that you can plug it all into a calculator and avoid certain possible errors.
b)
s = ut + 1/2 
subtract ut from both sides: s - ut = 1/2 
multiply both sides by 2: 2(s - ut)
divide both sides by
:
= a
answer: a = 
I'm not entirely sure about b) for question 2 so you might wanna double check that with a friend
Answer:
x = 4 , y = 2
Step-by-step explanation:
Using the sine / tangent ratios in the right triangle and the exact values
sin60° =
and tan60° =
, then
sin60° =
=
=
( cross- multiply )
x
= 4
( divide both sides by
)
x = 4
and
tan60° =
=
=
( multiply both sides by y )
y
= 2
( divide both sides by
)
y = 2
It is 8 the answer your welco
They didn’t use the distributive property correct because they didn’t multiply 5x3