The bottom left is the function.
assume you want a line that goes through the given point and parallel to the given line. A line that is parallel to y=2/3 x + 5 will have the same slope. slope of that line is 2/3...the number in front of the x. So our new line will have slope of 2/3. now we need the y-intercept. To find that start with a slope intercept equation y=mx+b plug in the slope that we already know...it goes in for x...will be the number in front of x y= 2/3 x + b. now all we need is a number to plug in for the "b" and we will have it. to get the "b"...start with the part you already know. y = 2/3 x + b use the point they gave you...(-3,1)...and get x and y from it x will be -3 and y will be 1 plug that in 1= 2/3 ( -3) + b now we solve for b 1 = -2 + b 3 = b now we have the b we need y = 2/3 x + b y = 2/3 x + 3
Answer:
$29.41
Step-by-step explanation:
You know the discount price is 25 and the original is unknown so call it x. The sale is 15% off and that means that the jeans are 85% of what they used to be since 100-15 is 85. Then you plug it into a formula of 25/x = 85/100 then you cross multiply to get 2500=85x and when you solve for x and round you get $29.41
Answer:
no solution
Step-by-step explanation:
Given
(6x + 12) - 2(x - 7) = 19 ← distribute parenthesis on left side
2x + 4 - 2x + 14 = 19 , that is
18 = 19 ← not possible
This indicates the equation has no solution
The co ordinates of P' is (-7,-2) and Q' is (-16, -8)
<u><em>Explanation</em></u>
PQ is rotated 180 degrees clockwise about P. It means <u>P and P' are the same points</u>.
According to the graph, the coordinates of P is (-7, -2) and Q is (2, 4)
When PQ is rotated 180 degrees clockwise about P, then <u>P or P' will be the mid-point of Q and Q' </u>
Suppose, the co ordinate of Q' is (x, y)
Now according to the mid-point formula, the coordinate of P or P' will be:
, which is actually at (-7, -2)
Thus.....

So, the co ordinates of P' is (-7,-2) and Q' is (-16, -8)