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lutik1710 [3]
3 years ago
6

Find the midpoint of the segment with the following endpoints (4,6) and (1,3)

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
3 0

Answer:

The midpoint is (2.5,4.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(4+1)/2 = 5/2 = 2.5

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(6+3)/2 = 9/2 = 4.5

The midpoint is (2.5,4.5)

Likurg_2 [28]3 years ago
3 0

Answer:

(5/2,9/2)

Step-by-step explanation:

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A square pyramid and a cube have the same surface area. The length of each side of the base of the square pyramid is 10 feet. Th
Brrunno [24]

Answer:

The answer to your question is 23.2 ft

Step-by-step explanation:

Data

length square pyramid = 10 ft

width of a cube = 6 ft

height of the pyramid = ?

The surface area is equal in both figures.

Formula

Surface area of a cube = 6a²

Surface area of a square pyramid = ab + al = l x l + (l x h) /2

Process

1.- Calculate the surface area of the cube

           Ac = 6(6)² = 6(36)

                            = 216 ft²

2.- Substitute data in the square pyramid formula

           Ap = (10 x 10) + (10h)/2

3.- Equal both areas

               216 = 100 + 5h

- Solve for h

               216 - 100 = 5h

                         116 = 5h

                          h = 116 / 5

- Result

                          h = 23.2 ft                          

5 0
3 years ago
Find the missing factor 2x^2+15x+7=(2x+1)(?)
Genrish500 [490]

Answer:

? = (x + 7)

Step-by-step explanation:

2x^2 + 15x + 7 = (2x + 1) (?)

1. First you need to figure out what multiplied by 2x will give you 2x^2, which is x.

2. Then you need to find what would give you 15x. In this case because you have the 1 in (2x + 1), you already know that there is going to be an extra x. So, what times 2x gives you 14x? It's 7.

3. Lastly you need to make sure that 1 multiplied with 7 is equal to 7 and combine like terms.

4. Check: (2x + 1) (x + 7) =

2x^2 + 14x + 1x + 7 =

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2 years ago
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den301095 [7]

Answer:

Step-by-step explanation:

your answer is 4,561.593

6 0
2 years ago
When Maria finished medical school, she had a student loan. She repaid $27,000 of the loan within two years of graduating. That
Alchen [17]

Answer

$54,000

Equation

x=27,000

2x=54,000

3 0
3 years ago
ASAP<br><br> Simplify the expression.<br><br> 5 + 6(2x – 3) – 4x
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8x-13

1. Distribute 6 to both 2x and -3
5+12x-18-4x
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