Answer: 25/4=6.25
Explanation:
4w=25
w=25/4=6.25
(I am assuming that the circles and the block are equal, some of the picture got cut off.)
Use a proportion.
Let A = water used in household A.
Let B = water used in household B.
A to B = 13 to 5
A = 260 gal
260 to B = 13 to 5
260/B = 13/5
13B = 5 * 260
B = 100
A + B = 260 + 100 = 360
The total is 360 gallons.
Y = x^2 - 64
x^2 - 64 = 0
x^2 = 64
x^2 = 8^2
x = 8 and x = -8
answer is B. x = 8 and x = -8
Answer:
1/27
Step-by-step explanation:
There are 9 numbers between 0 and 8. 3 of them are less than 3 (0, 1, and 2), and 1 of them is 6.
The probability is therefore (3/9) (1/9) = 1/27.
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.
