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Scrat [10]
3 years ago
6

Point L is on line segment KM. Given LM=11 and KL=4, determine the length KM.

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
3 0

Hey there! I'm happy to help.

Let's think of the line segment KM as a road. It starts at point K and ends at M. You start driving from point K and after 4 miles, you have reached point L. The segment KL is equal to 4 because the distance between K and L is 4.

From point L to point M, you drive 11 miles. You are now at the end of the road. We want to find out how long the road is.

From point K to point L, you drove for 4 miles.

Then, from L to M, you drove 11.

We combine these...

11+4=15

The length of KM is 15.

Have a wonderful day! :D

belka [17]3 years ago
3 0

Answer:

km=15

step-by-step explain

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Whats 8 times 3 divided by 12
SOVA2 [1]

Answer:

2

Step-by-step explanation:

<u>Step 1:  Convert words into numbers </u>

(8 * 3) / 12

<u>Step 2:  Multiply </u>

(8 * 3) / 12

24 / 12

<u>Step 3:  Divide </u>

24/12

2

Answer:  2

7 0
3 years ago
Read 2 more answers
An aerodynamic three-wheeled automobile (the Dart) runs on compressed natural gas stored in two cylinders in the rear of the veh
pogonyaev

Answer:

a) 7702.88 miles

b) If we drive more than 7702.88 miles per year, the dart would be more economical.

Step-by-step explanation:

Assuming a useful life of 7 years.

Let's calculate EUAC dart:

(15000)(A/P, 10%, 7) + (X/100mpg)(8)

= 15000 * 0.2054 + 0.08

= 3081.15 + 0.08X

EUAC For other automobile:

(12000)(A/P, 10%, 7) + (X/50mpg)(8)

= 12000 * 0.2054 + 0.16X

= 2464.92 + 0.16X

a) To solve for X, we have:

EUAC dart = EUAC other automobile

3081.15 + 0.08X = 2464.92 + 0.16X

0.08X - 0.16X = 2464.92 - 3081.15

-0.08X = - 616.23

X = 7702.88 miles

b) The range of annual miles driven is the Dart more economical.

EUAC dart < EUAC other automobile

3081.15 + 0.08X < 2464.92 + 0.16X

X > 7702.88 miles

If we drive more than 7702.88 miles per year, the dart would be more economical.

5 0
4 years ago
What is the simplified form of the expression?
SIZIF [17.4K]
Remember
(x^m)/(x^n)=x^(m-n)

(q^(33/4))/(q^8)=q^((33/4)-8)
what is 33/4-8?
33/4-8=33/4-32/4=1/4

result is
q^1/4 or \sqrt[4]{q}

answer is q^{ \frac{1}{4} }
8 0
3 years ago
Read 2 more answers
How do you factor these?
valina [46]
Hi there!

24. 6x² + 19x + 3
      1                 3    multiply 6 × 3 = 18
      6                 1    multiply 1 × 1 = 1
                               18 + 1 = 19
(x + 3)(6x + 1)

I just simply found the two factors of 6 and 3 that can add up to 19.
This way is useful when the a and c don't have much factors.


27. 5y² + 13y + 6
      1                 2    5 × 2 = 10
      5                 3    1 × 3 = 3
                               10 + 3 = 13
(x + 2)(5x + 3)


30. 16x² + 16x + 3
For this one, 16 has a lot of factors. So you can try "Grouping" method.
You multiply 16 and 3. 16 × 3 =48
Find the factors of 48 that can add up to 16.
Hmm.. 12 and 4 would be great.
Then rewrite the equation.

16x² + 12x + 4x + 3
We would factor 16x² + 12x and 4x + 3 separately. 
16x² + 12x                    4x + 3 can't be factored more.
4x(4x + 3)                     1(4x + 3)
(4x + 1)(4x + 3)


So your answers are....
24. (x + 3)(6x + 1)

27. (x + 2)(5x + 3)

30. (4x + 1)(4x + 3)
 

Hope this helped!!
6 0
4 years ago
Mark and Suzie are using a bucket to empty their flooded basement. Each bucket holds five cubic feet of water and it takes 112 f
I am Lyosha [343]

Answer:

It was 2 feet high

Step-by-step explanation:

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5 0
3 years ago
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