Answer:
(3,1)
Step-by-step explanation:
When reflecting over the y-axis if the point was on quadrant 1, then the coordinated must be changed like so (x,y) -> (-x,y), so therefore in the scenario, all we have to do is reverse this process. So in this case, Point A is (-3,1) so all we have to do is change the -3 to a positive 3 to the the coordinates of A'' which is (3,1).
We have points (-3, 4), (-1, 2), (4, -3) and (6,-5)
Let's verify it's a line by calculating the slopes between successive points.
Slope is change in y over change in x.
(2 - 4)/(-1 - -3) = -2/2 = -1
(-3 - 2)/(4 - -1) = -5/5 = -1
(-5 - -3)/(6 - 4) = -2/2 =-1
Yup. We have a line of slope -1 through point (-1, 2)
y - 2 = -1(x - -1)
y = -x - 1 + 2
y = -x + 1
That's the linear equation for the table.
Answer: Linear equation: y = -x + 1 slope = -1
Answer:
Step 2, he didn't add the values he completed the square with to both sides.
Step-by-step explanation:
When you complete the square, you need to add the values to both sides, not just one.
So when Homer added 49 + 1 or 50 to the left side of the equation, he should've also added 50 to the right side of the equation.
Hence, the equation would now be :
(x-7)^2 + (y+1)^2 = 75
Answer:
(5h-4t)(5h+4t)
Step-by-step explanation:
25h² - 16t²
adding and subtracting 20ht from it (√25 and √16 = 5x4 = 20):
25h² + 20ht - 20ht -16t²
factor:
(5h-4t)(5h+4t)
Answer:
A) y = -1/2x + 1/2
Step-by-step explanation:
Find the y-intercept(when x = 0), which is 1/2.
Find the slope: m = y2-y1 / x2-x1
I used points: (3, -1), (-3,2)
m = 2 - (-1) / -3 - 3
m = 3 / - 6
m = -1/2
plug this into the slope intercept form equation: y = mx + b
y = -1/2x + 1/2