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devlian [24]
4 years ago
9

Find the midpoint of the line segment with endpoints (-4, 5) and (-6, 7)

Mathematics
1 answer:
Verizon [17]4 years ago
3 0

Answer:

Midpoint is (-5,6).

Step-by-step explanation:

Given points are (-4,5) and (-6,7)

Midpoint of points (x_1,y_1) and (x_2,y_2) is \left (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}  \right )

Therefore, \left (\frac{-4+(-6)}{2},\frac{5+7}{2}  \right )=\left (\frac{-4-6}{2},\frac{5+7}{2}  \right )

                                         =\left (\frac{-10}{2},\frac{12}{2}  \right )

                                         =(-5,6)

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Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a ga
Allushta [10]

Answer:

Distance between Gas Station and House = 7.81 miles.

Step-by-step explanation:

Given: House location ( 4, 3 ) and Gas station location ( 10, 8)

          On graph 1 unit = 1 mile.

To find: Distance between Gas Station and House

We use the Distance formula to find the distance between two points (x_1,y_1)\:and\:(x_2,y_2)

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

From given points and formula,

Distance\:between\:house\:and\:gas\:station=\sqrt{(10-4)^2+(8-3)^2}

                                                             = \sqrt{(6)^2+(5)^2}

                                                             = \sqrt{36+25}

                                                             = \sqrt{61} units

Since, 1 unit = 1 mile

⇒ \sqrt{61}\:unit=\sqrt{61}miles=7.81 miles

Therefore, Distance between Gas Station and House = 7.81 miles.

5 0
3 years ago
Read 2 more answers
Please help with the first one :)
liubo4ka [24]

Answer: it times and times

Step-by-step explanation: it times 6 times 6, 8 times 8, 54 times 54, and go more up and multiplying.

4 0
3 years ago
Read 2 more answers
Sherry claims that the expression 1/x will always be equivalent to a repeating decimal whenever x is an odd number greater than
fomenos

Answer:

The correct options are :

b. 5

e. 25

Step-by-step explanation:

The question is incomplete. The missing part is :

'' Which of these values will prove Sherry's claim is false :

a. 3

b. 5

c. 7

d. 11

e. 25 ''

One way to prove that Sherry's claim is false is finding one odd number greater than 1 that when we replace it in the denominator of the expression \frac{1}{x} the result isn't equivalent to a repeating decimal.

Let's analyze each option :

  • a. 3

3 is an odd number greater than 1 ⇒ If we replace in the expression \frac{1}{x} ⇒

\frac{1}{3}  ≅ 0.3333 (repeating decimal)

The option a. 3 won't prove that Sherry's claim is false.

  • b. 5

5 is an odd number greater than 1 ⇒ If we replace in the expression \frac{1}{x} ⇒

\frac{1}{5}=0.2

The result isn't a repeating decimal.

The option b. 5 will prove that Sherry's claim is false.

  • c. 7

7 is an odd number greater than 1 ⇒ If we replace in the expression \frac{1}{x} ⇒

\frac{1}{7} ≅ 0.1428 (repeating decimal)

The option c. 7 won't prove that Sherry's claim is false.

  • d. 11

11 is an odd number greater than 1 ⇒ If we replace in the expression \frac{1}{x} ⇒

\frac{1}{11} ≅ 0.0909 (repeating decimal)

The option d. 11 won't prove that Sherry's claim is false.

  • e. 25

25 is an odd number greater than 1 ⇒ If we replace in the expression \frac{1}{x} ⇒

\frac{1}{25} ≅ 0.04

The result isn't a repeating decimal

The option e. 25 will prove that Sherry's claim is false.

3 0
3 years ago
-
Inga [223]

Answer:

15 iss the answer......

6 0
3 years ago
Read 2 more answers
The ratio of boys to girls in a room is 4:9.<br> There are a total of 39 people in the room.
Mumz [18]

12 boys and 27 girls

1) Add 4 to 9. 13

2) 39 divided by 13 is 3

3)Multiple 3 to 4 boys and 9 girls. 3x4 is 12 boys, 3x9 is 27 girls

Hope this helps!

4 0
3 years ago
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