Answer:
The answer to your question is A.
Step-by-step explanation:
First we want to isolate x from 5x + y = 9 so to do so. We subtract y from both sides.
5x + y - y = 9 - y
Simplify.
5x = 9 - y
Divide both sides by 5.
5x/5 = 9/5 - y/5
Simplify again.
x = 9 - 5/y
Substitute x = 9 - 5/y
So 10 * 9 - 5/y - 7y = -18.
We wanna isolate y so...
10 * 9 - 5/y
Multiply the fractions.
(9 - y) * 10/5
Divide the numbers (10/5 = 2)
2(-y + 9)
Now we want to expand this.
2 * 9 + 2(-y)
Apply the minusplus rule
2 * 9 - 2y
This gives us 18 - 2y
From there we can add the similar elements
-2y - -7y = -9y
18 - 9y = -18
Subtract 18 from both sides.
18 - 9y - 18 = -18 - 18
Simplify again.
-9y = -36
Now divide both sides by -9
-9y/-9 = -36/-9
This gives us y = 4.
For x we just want to substitute 4 into it.
So 9 - 4/5 which is 5/5 which translates to 1.
Therefore y = 4 and x = 1.
(y+x)^2=(x+y)^2
so
(x+y)^2+(x^2-2xy+y^2)
= (x^2+2xy+y^2)+(x^2-2xy+y^2)
= x^2+2xy+y^2+x^2-2xy+y^2
= x^2+x^2-2xy+2xy+y^2+y^2
= 2x^2+2y^2
if u want to simplify it more then it will be written as: 2(x^2+y^2)
Answer:
<em>∠6 = 78°.</em>
Step-by-step explanation:
<em>∠3 = 78°</em>
<em>∠2 and ∠3 are vertical angles, => ∠2 = ∠3 = 78°.</em>
<em>∠2 and ∠6 are corresponding angles, => ∠6 = 78°.</em>
The correct answer is A) y = -1/5x + 1
To find the equation of the line, start by finding the slope. You can do this by using the slope formula below.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - -1)/(-5 - 10)
m = 3/-15
m = -1/5
Now that we have the slope, we can use it along with either point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = -1/5(x + 5)
y - 2 = -1/5x - 1
y = -1/5x + 1