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2 years ago

Find the midpoint between this pair of points (-4,10) and (14,0)

Mathematics

1 answer:

koban [17]2 years ago

5 0

<h3>Answer: (5, 5)</h3>

Explanation:

The x coordinates are -4 and 14. They add up to -4+14 = 10. Then this cuts in half to get 10/2 = 5. This is the x coordinate of the midpoint.

We'll follow this same idea for the y coordinates as well.

10+0 = 10 which cuts in half to 10/2 = 5, and this is the y coordinate of the midpoint.

Therefore, the midpoint is (5,5).

Coincidentally, the x and y coordinates are the same for the midpoint (both are 5). This won't always happen.

You might be interested in

0.1629 nearest tenth (0.1) look at the 0.01 place.

topjm [15]

Answer:

If its asking you to round to the nearest tenths place then its 0.2

remember that if the number you're using to round is 5 or higher you add 1. If its 4 or lower it stays the same

6 0

3 years ago

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil. What would one pencil and one

vladimir2022 [97]

It is given in the question that

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil.

Let the cost of pencil is $ x .

Therefore cost of pen is

$$(x+0.40)$

According to the question

$12(x+0.40)+20x =16$

Distributing 12 and combining like terms, we will get

$12x+4.8+20x=16\\32x = 11.2\\x = 0.35$

Therefore cost of pencil is $0.35 and cost of pen is

$0.35+0.40=0.75$

3 0

3 years ago

Use the graph below to determine a1 and d for the sequence. graphed sequence showing point 1, negative 10, point 2, negative 7,

Sonja [21]

Answer:

$a_1=-10$

$d=3$

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference (d)

In this problem we have the ordered pairs

$(1,-10),(2,-7),(3,-4),(4,-1),(5,2),(6,5)$

Let

$a_1=-10\\a_2=-7\\a_3=-4\\a_4=-1\\a_5=2\\a_6=5$

Find the difference between one term and the next

$a_2-a_1=-7-(-10)=3$

$a_3-a_2=-4-(-7)=3$

$a_4-a_3=-1-(-4)=3$

$a_5-a_4=2-(-1)=3$

$a_6-a_5=5-2=3$

The difference between one term and the next is a constant

This constant is the common difference

The sequence graphed is an Arithmetic Sequence

therefore

The first term is $a_1=-10$

The common difference is equal to $d=3$

4 0

3 years ago

Help, please!! please have a small explanation

Lady_Fox [76]

Answer:

Step-by-step explanation:

63/7 = 9

Reduction factor is 9

2x9 = 18

x = 18

Hope that helps

8 0

3 years ago

Read 2 more answers

Which relationship is always true for the angles x, y, and z of triangle MNP?

Reil [10]

In every triangle, all the measures of the angles combined is 180 degrees.

So x + y + z = 180 degrees

4 0

3 years ago