Answer:
The roof does form a right triangle.
Step-by-step explanation:
If it is a right triangle then it will obey the Pythagoras Theorem.
Now (√186)^2 = (√93)^2 + (√93)^2
186 = 93 + 93 = 186
So it obeys the theorem and is therefore a right triangle.
-15+9=-6 --------> -6-12=-18
15 represents where he started, then he rises upward 9 and then gets to 6. Afterwards he goes down 12 and ends up at 18 which is 3 feet lower then where he originally started.<span />
Reflection over the y-axis:
(x, y) ⇒ (-x, y)
Reflection of that over the line y = x:
(-x, y) ⇒ (y, -x)
Rotation counterclockwise by 270°:
(x, y) ⇒ (y, -x) . . . . . . equivalent to reflection over y, then over y=x.
The appropriate choice is ...
C) Reflecting over the y-axis and then reflecting over the line y = x.
Answer:
x = -7/3y + 8/3
y = -3/7x + 8/7
Step-by-step explanation:
First, set the equations next to each other to find x and y, I'll start with x:
x + 3y + 2x + 4y = 8
Combine like terms
3x + 7y = 8
Subtract both sides by 7y
3x + 7y - 7y = 8 - 7y
3x = 8 - 7y
I'll re-order the equation to make it easier to divide
3x = -7y + 8
Divide both sides by 3
3x / 3 = -7y + 8 /3
x = -7/3y + 8/3
If you need decimals just divide with a calculator
Now to find y:
We already combined like terms so we don't need to do that again...
3x + 7y = 8
Subtract both sides by 3x
3x - 3x + 7y = 8 - 3x
7y = 8 - 3x
I'll reorder the equation once again so the variable comes first
7y = -3x + 8
Divide both sides by 7
7y / 7 = -3x + 8 / 7
y = -3/7x + 8/7
Again, use a calculator to divide completely for decimals.
