Step-by-step explanation:
(0,-3) and (1,0) this are the point
Answer:
8 in
Step-by-step explanation:
RA = 4 in, RB = 2 in
oil height in A = hA = 2 in
Find oil height in B = hB
volume of oil in A = VA = π*RA² * hA
equal amount means volume of oil in B VB = VA
But VB = π*RB² * hB
so π*RA² * hA = π*RB² * hB
then
hB = hA *(RA/RB)² = 2 * (4/2)² = 8 in
Answer:
5(m + 5) (m - 8)
Step-by-step explanation:
5m2- 15m- 200
Start by pulling 5 out.
5(m^2 - 3m - 40)
We consider all factors of 40
1 40
2 20
4 10
5 8
Based on the middle term we know that 5 and 8 are our best option.
5(m 5) (m 8)
We know the signs have to be one + and one - because a - * - = + and + * + = +
Since 5 - 8 would give us -3 we know that our answer is
5(m + 5) (m - 8)
The answer is A.) 5x+8y≤120
To get this answer the first thing I did was notice what it says the x and y variables stand for. The "x variable represents the number of breadsticks purchased" and "the y variable represents the number of pizza pies purchased". It also says that each breadstick is $5 and each pizza pie is $8. Accordingly, we need to match our variables with what we're buying. So, the y be with 8 and the x be with 5.
So, our expression will have a 5x and an 8y in it.
Now if we notice, it says he can spend no more than $120, so that means he can spend $120 or less. The less than or equal to sign is ≤.
Now we can find our answer. The only answer with 5x and 8y with a ≤120 is answer choice A
Hope this helped!! :))
Answer:
Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.
it is given by: 
where a is the first term , n is the number of term and d is the common difference.
Given the series: 
here, Common difference(d) = 5
First term(a) = 49
by definition we have;
For nth term
= 5n + 44
To write the series using summation notation for 14 terms
Summation symbol 
The series for 14th terms is given by;
