You would have to make common denominators
consider a/b,c/d in Q
then a/b - c/d = ad/db - cb/bd = (ad-cb)/db for all a,b,c,d in R, exclude b,d=0
i.e. 1/2 - 1/4
=4/8 - 2/8 =(4-2)/8=2/8 =1/4
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
First you need to find the second base (b2) by plugging all the values into the area of a trapezoid formula.
A= 1/2 (b1+b2)h
After plugging it in you will find that b2= 21.3.
The questions is asking perimeter so you add all the sides together...
14.4+18.5+14.7+21.3= 68.9 ft
Hope it helps
Answer:
20.526%
Step-by-step explanation:
This can be found by dividing 31.2 by 152. The answer that shows up on the calculator is .20526. Then, move the decimal place over two to the left.
Answer:
slope = -4
Step-by-step explanation:
rise/ run = 4/1, but slope always minus, so slope = -4
