The opposite of -1/2 is 1/2. If you put -1/2 in absolute value, then the answer is 1/2.
Answer:
y=-1/3x + 33
Step-by-step explanation:
You can start by writing this in point slope form and converting to slope intercept later. Since the slope of the perpendicular line is y=3x-30, this line must have a slope of -1/3. It's point slope form is therefore:
y-25=-1/3(x-24)
Now, you can convert to slope intercept by isolating y:
y=-1/3(x-24)+25
y=-1/3x+8+25
y=-1/3x+33
Hope this helps!
<u>Answer-</u>

<u>Solution-</u>
From the attachment,
AD = AE, so FA is a median.
BD = BF, so BE is a median.
CF = CE, so DC is a median.
And G is the centroid.
From the properties of centroid, we know that
The centroid divides each median in a ratio of 2:1
So,







So, GB will be
units
Answer:
See below
Step-by-step explanation:
x^2-3x-40 Factor
(x - 8) (x + 5)
The x intercepts are -5 and 8
(negative infinity, -5)
(8, positive infinity)
Answer:
A) 48 in : initial height of the water
B) 40.5 in : height of the water after 5 days
C) 32 days
D) Yes, should be restricted.
Domain: 0 ≤ d ≤ 32
Step-by-step explanation:

A)

48 in is the initial height of the water
B)

40.5 in is the height of the water after 5 days
C) when the pool is empty, h = 0.
So set the equation to zero and solve for d.

D) Yes, the domain should be restricted because when d > 32, h < 0 and the height of the water in the pool cannot be negative
Domain: 0 ≤ d ≤ 32