Answer:
(-9, -5)
Step-by-step explanation:
Ok, so when you move an image to the right, you are moving along the x-axis, and when you move up, you are moving up the y-axis. So if the altered image is (x,y) and the values are (-5, -1), you reverse what has been done to the image. In this case, since we moved to the right 4 units, we know that means we added 4 to x, so we subtract 4 to get -9. And then, for the y-value, because we added 4, we do the opposite, and subtract 4 to get -5. So the pre-image should be (-9, -5)
Answer:
x = -7 ±3i
Step-by-step explanation:
(x+7)^2+9=0
Subtract 9 from each side
(x+7)^2+9-9=0-9
(x+7)^2=-9
Take the square root of each side
sqrt((x+7)^2) = ±sqrt(-9)
We know sqrt(ab) = sqrt(a) sqrt(b)
x+7 = ±sqrt(-1) sqrt(9)
We know that sqrt(-1) is the imaginary number i
x+7 = ±i *3
x+7 =±3i
Subtract 7 from each side
x+7-7 = -7 ±3i
x = -7 ±3i
Answer:
The slope formula can be used to prove that a triangle has
A. Congruent Sides
<u>B. A right angle
</u>
C. Parallel sides
D.Congruent angles
Step-by-step explanation:
The formula for finding the slope of a line on a coordinate plane is (y2 - y1) / (x2 - x1), where (x2, y2) and (x1, y1) represent two distinct points on the line. This is also known as "change in y over change in x" or "rise over run."
The ratio of circumference to diameter is independent of the radius.
Defining C=circumference, r=radius, D=diameter = 2r
Circumference = C = 2 π r = π D
=>
ratio of circumference / diameter
= C/D = π
1000+1500=2500 is how much she owes right now
If each hat is sold for 12.50, all you have to do is 2500/12.50=200
She needs to sell 20 hats to break even.