Answer:
(7, - 7 )
Step-by-step explanation:
- 4x + y = - 35 → (1)
- 2x - y = - 7 → (2)
adding the 2 equations term by term will eliminate the y- term
(- 4x - 2x) + (y - y) = - 35 - 7
- 6x + 0 = - 42
- 6x = - 42 ( divide both sides by - 6 )
x = 7
substitute x = 7 into either of the 2 equations and solve for y
substituting into (1)
- 4(7) + y = - 35
- 28 + y = - 35 ( add 28 to both sides )
y = - 7
solution is (7, - 7 )
Answer:
(X+5)^2 + (Y-2)^2 =49
Step-by-step explanation:
Equation of the circle
(X-a)^2+(Y-b)^2= r^2
Center=(-5 ; 2) , so : a= -5 y b=2
y r=7
A perfect square must be hidden within all of those radicands in order to simplify them down to what the answer is.
.
.
. The rules for adding radicals is that the index has to be the same (all of our indexes are 2 since we have square roots), and the radicands have to be the same. In other words, we cannot add the square root of 4 to the square root of 5. They either both have to be 4 or they both have to be 5. So here's what we have thus far:
. We can add
and
to get
. That means as far as our answer goes, A = 72 and B = 4, or (72, 4), choice a.
Answer:
$7.43
Step-by-step explanation:
First, solve for what each of the 5 friends are paying:
130/5 = 26
Then, solve for what each person is paying with the addition of 2 people:
130/7 = 18.57
Last, subtract to find the answer:
26-18.57 = 7.43
Answer:
y = 1/2x +2
Step-by-step explanation:
y-y1= m (x-x1)
first find slope
m= 4-1 / 4 - (-2)
m= 3 / 4+2
m= 3/ 6
m = 1/2
you can pick any of the two points to solve for point slope form
y-4 = 1/2 (x-4)
y-4= 1/2x -2
add 4 on both sides
y = 1/2x +2
y-1= 1/2 (x- (-2))
y-1= 1/2 (x+2)
y-1= 1/2x +1
add 1 on both sides
y= 1/2x +2
you should get the same answer with any of the two points you chose
you might want to use a calculator to solve this
if you want to use both points to make sure the answer is correct, you can
if you don't get the same answer with both points then u did something wrong during the equation.
