Answer:
10x-15y
Step-by-step explanation:
So, when they say use the distrubutive property, they basically mean turning this:
a(b+c)
Into this:
ab+ac
So in this case, it would be:
5(2x-3y)
And we will turn it into:
10x-15y
ANother way to think about it is we are multiplying 2x by 5, and -3y by 5. So:
2x*5
=
10x
And
-3y*5
=
-15y
Then we can combine these two:
10x-15y
Hope this helps!
Answer:
3⁵
Step-by-step explanation:
3×3×3×3×3=3⁵
You have a mutiplication. The base is 3, the exponent is the count of how many 3 you have. In this multiplication 3 appears 5 times, so 3⁵.
Answer:

Step-by-step explanation:
<u>Graphs</u>
The graph shows the amount of water in gallons as a function of time in seconds.
We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.
Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.
Using the point (0,0):

It follows that b=0
The equation now takes the form:

Using the point (12,5):

We find m:

The final equation is:

Substituting t=1:

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:

All real numbers is the answer
Answer:
25°
Step-by-step explanation:
51+x+14=90°
x+65=90°
x=90-65
x=25°