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pickupchik [31]
3 years ago
14

Find the midpoint of the segment with the following endpoints. (−5,5) and (−10,2)

Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer:

(-7, -2)

Step-by-step explanation:

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Find the total mass of the triangular region shown below. All lengths are in cm, and the density of the region is sigma(x) = 1 +
anastassius [24]

Answer:

3 grams

Step-by-step explanation:

We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:

Mass of strip = denisty * area = (1+x)*y*deltax grams

now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!

**pretend ∈ is the sum symbol

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 *  1/3 = 1

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2

Total mass = mass left + mass right = 1 + 2 = 3 grams

8 0
3 years ago
-6h plus 4 - 3plus h equals 11
olga55 [171]

- 6h + 4 - 3 + h = 11
So we start by combining like terms;
- 6h + h =  - 5h
4 - 3 = 1
Now we have;
- 5h + 1 = 11
We then subtract 1 from both sides;
- 5h + 1 = 11
- 5h = 10
Then we divide both sides by 5;
- 5h = 10
- 5h \div  - 5h =  h
10 \div  - 5h =  - 2
Leaving the final answer to be h = -2
5 0
3 years ago
What is the answer to 16.3-2.666
djverab [1.8K]
The answer: <span>13.634

Don't believe me? Check with a(n) calculator!</span>
4 0
3 years ago
Factor 80t - 16t = 0<br><br> help?
Alinara [238K]
I don't know if that is factor-able. It looks like you could just subtract and get 64t. which would lead to the answer being zero since you divide by zero when isolating the variable t.
6 0
3 years ago
. A salesman sold 300 bags of maize to a retailer at Kshs .2000 each .He was given a commission of 3%.The salesman allowed a dis
nalin [4]

Answer:

The discount allowed per bag is kshs 4

while the discount allowed on all the 300 bags is kshs 1,200

Step-by-step explanation:

Here, we are interested in calculating the discount allowed on the sales of the bag of maize.

From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.

Now, to find the amount of this, we proceed as follows;

What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.

The discount on each bag of maize would be;

0.2% of kshs 2000

That would be;

0.2/100 * 2,000 = 400/100 = kshs 4

Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200

8 0
3 years ago
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