Answer:
the point is (3, 3) . . . . . . y = 3
Step-by-step explanation:
Write the point-slope equation of the line through the point you know. Then evaluate that equation for x=3 to see what the value of y is.
Point-slope form:
y = m(x -h) +k . . . . slope m through point (h, k)
y = -1/2(x -9) +0 . . . . line with slope -1/2 through point (9, 0)
For x=3, the value of y is ...
y = -1/2(3 -9) + 0 = -1/2(-6) = 3
The value of y is 3.
Minus 36 from each one you can do it on a calculator:)
Answer: 12 hours
Step-by-step explanation:
Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open
1/6 = portion of pool filled per hour by the inlet pipe
1/12 = portion of pool emptied per hour by the drain
1/x = portion of pool filled per hour if the inlet pipe and drain are both open
Then, 1/6 - 1/12 = 1/x
Multiply by the LCD, 12x, to obtain
2x - x = 12
x = 12 hours
Answer:
The answer is option (C). The width of the rectangle=6 inches
Step-by-step explanation:
<em>Step 1: Determine the dimensions of the rectangle</em>
width=w
length=w+6
<em>Step 2: Determine the perimeter of the rectangle</em>
P=2(L+W)
where;
P=perimeter
L=length
W=width
In our case;
P=36 inches
L=w+6
w=w
replacing;
2(w+w+6)=36
2(2 w+6)=36
4 w+12=36
4 w=36-12=24
4 w=24
w=24/4=6
W=6 inches
L=6+6=12 inches
The width of the rectangle=6 inches
