Answer:
150
Step-by-step explanation:
Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that
y=ksqrt((x+2)^2)
We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.
250=ksqrt((8+2)^2)
250=ksqrt((10)^2)
250=k10
250/10=k
25=k
So for any pair (x,y) we have the relation y=25((x+2)^2).
We are asked to find y when x=4.
y=25((4+2))^2
y=25(6)
y=150
Test to see if y is proportional to sqrt((x+2)^2)
For the given points: 250/150=10/6
The equation is true so we're great.
9514 1404 393
Answer:
7 1/3 hours
Step-by-step explanation:
We are to assume that the total number of heater-hours required is a constant. That is, the time is inversely proportional to the number of heaters.
If the number of heaters goes up by a factor of 6/4 = 3/2, then the number of hours will go down by the inverse factor: 2/3.
With 6 heaters instead of 4, the time required is (2/3)(11 hours) = 7 1/3 hours.
Answer is a
because i remember getting ask this question
Let's take 6, 12 as our first example. We're trying to find out the difference between the two...take 12 minus 6 and you get a difference of 6 between them.
Now the first problem, 4, -17...put the larger one first and subtract the smaller one. 4 minus negative 17 is the same as 4 plus 17 which is 21.
23-8 is 15, of course.
-1-14 is -15, but the difference between something can't be negative, so it's just 15.
18-(-3) = 18+3 = 21.
Alright, subtract the y's then the x's.
-4-(-10)=6
12-2=10
Column A= 3/5 reduced
18-6=12
10-(-4)=14
Column B= 6/7 reduced
It doesn't matter which way you subtract as long as you do y first and x second.