Answer:
(x, y) = (4, 1)
Step-by-step explanation:
The coefficients of x are the same, so we can cancel the x-terms by subtracting one equation from the other. We want to do this so the resulting y-coefficient will be positive. That means we want to subtract the second equation from the first:
(-2x +y) -(-2x -4y) = (-7) -(-12)
5y = 5 . . . . . . . . simplify
y = 1 . . . . . . . . divide by 5
-2x +1 = -7 . . . . . substitute for y in the first equation
-2x = -8 . . . . . subtract 1
x = 4 . . . . . . divide by -2
The solution is (x, y) = (4, 1).
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A graphing calculator easily verifies the solution.
Answer:
45°
Step-by-step explanation:
Well, compared to 90°, it looks like it's just smaller, but not too small. It couldn't be 15° degrees, or 60°, as it was probably too much. I Don't think it's 30° either, because it looked bigger than what a 30° angle would be.
Hope it helped!
~Flip
Answer:
y = -0.25x + 2.25
Step-by-step explanation:
First, you can simplify the equation of the line it's perpendicular to (2y = 8x - 6) by dividing both sides by 2. This means you would get y = 4x - 3. From that you can conclude that the slope of that line is 4.
Lines always have a slope that is the negative reciprocal of the slope of the line they are perpendicular to, so you know the slope of the line is going to be -1/4.
So far, you have the equation y = -1/4x + b and you have to find b.
You can substitute in the point (-3, 3) so you would have 3= -1/4 * -3 + b
Solving,
3 = 3/4 + b
b = 2 and 1/4
Therefore the equation is y = -1/4x + 2 1/4 or y = -0.25x + 2.25
Answer:
6
Step-by-step explanation:
9-3=6
H = 27
subtitute the value of h to the expression h : 9
h : 9 = 27 : 9 = 3
