Answer:
44x +56y = 95
Step-by-step explanation:
To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.
The midpoint is the average of the coordinate values:
((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)
The differences of the coordinates are ...
(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)
Then the perpendicular bisector equation can be written ...
Δx(x -h) +Δy(y -k) = 0
5.5(x -0.25) +7(y -1.5) = 0
5.5x -1.375 +7y -10.5 = 0
Multiplying by 8 and subtracting the constant, we get ...
44x +56y = 95 . . . . equation of the perpendicular bisector
Answer:
174
Step-by-step explanation:
thanks for the help guys
<span> The answer is is 4 times. </span>
<span>The reason it is 4 is because 3 times 4 is 12 and 12 is less than 14. If you did 3 quarters times 5, you would get 15, going over the limit.</span>
1. To find the x-intercept, replace y in the equation with 0, then solve for x.
... To find the y-intercept, replace x in the equation with 0, then solve for y.
If the equation is easily put into the form
... x/a + y/b = 1
Then the x-intercept is "a" and the y-intercept is "b".
2. Let's graph 3x+4y = -12.
If we divide the equation by -12, we can put it into the form
.. x/(-4) + y/(-3) = 1
This equation has x-intercept -4 and y-intercept -3.
(If you know the intercepts, you can simply draw the line through them to graph your linear equation.)
Amy's current age is 16 years greater than Peter's age, so Amy's current age is equal to x + 16.
6 years ago, Amy's age was equal to twice that of Peter's age at that point, so her age was 2(x - 6).
As currently her age is x + 16 then 6 years ago her age was x + 16 - 6, which is x + 10.
As 6 years ago her age was equal to 2(x - 6) and x + 10, we can see that x + 10 = 2(x - 6).