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cupoosta [38]
3 years ago
6

point A is at (-2,-7)and point M is at(2.5,-1.5). Point M is the midpoint of point A and point B.what are the coordinates of poi

nt B?
Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Answer:

B (7, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \frac{x_{1}+x_{2}  }{2} , \frac{y_{1}+y_{2}  }{2} ] ← midpoint formula

let coordinates of B = (x, y ), then using the midpoint formula, equate to each of the coordinates of M, that is

\frac{-2+x}{2} = 2.5 ( multiply both sides by 2 )

- 2 + x = 5 ( add 2 to both sides )

x = 7

\frac{-7+y}{2} = - 1.5 ( multiply both sides by 2 )

- 7 + y = - 3 ( add 7 to both sides )

y = 4

Thus

coordinates of B = (7, 4 )

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Dmitrij [34]
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4 0
3 years ago
Ryan planted 125 trees on my tree farm 28% of rum or maple trees and the rest of them are pine trees. Kioshi helped plant 125 tr
VashaNatasha [74]

Answer:

Ryan planted more maple trees than Kioshi.

Step-by-step explanation:

Given:

Total number of tress planted by Ryan = 125

Percent of maples tree planted by Ryan = 28%

Total number of tress planted by Kioshi = 125

We need to find who planted more maple trees.

Solution:

First we will find the number of maple tree planted by Ryan.

So we can say that;

the number of maple tree planted by Ryan is equal to Percent of maples tree planted by Ryan multiplied by Total number of tress planted by Ryan and then divided by 100.

framing in equation form we get;

the number of maple tree planted by Ryan = \frac{28}{100}\times 125 = 35

Hence Ryan planted 35 maple trees on the tree farm.

Now we will find number of maple tree planted by Kioshi.

But Given:

or every maple trees there are four pine trees

Let the number of maple tree planted by Kioshi be 'x'.

Number of pine trees = 4x

Now we know that;

Total number of tress planted by Kioshi is equal to sum of Number of pine trees and number of maple tree.

framing in equation form we get;

x+4x=125\\\\5x=125

Dividing both side by 5 we get;

\frac{5x}{5}=\frac{125}{5}\\\\x=25

Hence Kioshi planted 25 maple trees in the park.

So we can say that.

Ryan planted more maple trees than Kioshi.

7 0
3 years ago
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
mash [69]

Answer:

(-6,9,-3)

Step-by-step explanation:

-3x -y +z=6

-3x-y+3z =0

x-3z =3

Multiply the second equation by -1

-1 *(-3x-y+3z) =0*-1

3x +y -3z =0

Add this to the first equation

-3x -y +z=6

3x +y -3z =0

----------------------

0 + 0 + -2z = 6

Divide by -2

-2z/-2 = 6/-2

z = 6/-2

z=-3


Take the third equation to find x

x-3z=3

x-3(-3) = 3

x+9=3

Subtract 9 from each side

x+9-9 =3-9

x=-6

Now we need to find y

3x +y -3z =0

3(-6) +y -3(-3) =0

-18 +y +9=0

-9+y =0

Add 9 to each side

-9+9+y = 0+9

y=9

(-6,9,-3)

3 0
3 years ago
Read 2 more answers
Which situation is represented by n + 12 = 25?
LUCKY_DIMON [66]

Answer:

B,

Step-by-step explanation:

The height of a rectangle is 12 units. The rectangle has an area greater than 25 square units. What are the possible values for the base of the

rectangle, n?

3 0
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How to reduce a ratio to lowest terms
aleksley [76]

It is usual to represent ratios in their simplest form so that we are not operating with large numbers. Reducing ratios to their simplest form is directly linked to equivalent fractions.

For example: On a farm there are 4 Bulls and 200 Cows. Write this as a ratio in its simplest form.

Bulls <span>: </span>Cows

4 <span>: </span>200

If we halve the number of bulls then we must halve the number of cows so that the relationship between the bulls and cows stays constant. This gives us:

Bulls <span>: </span>Cows

2 <span>: </span>100

Halving again gives us

1 <span>: </span>50

So the ratio of Bulls to Cows equals 1 : 50. The ratio is now represented in its simplest form.

An example where we have 3 quantities.

On the farm there are 24 ducks, 36 geese and 48 hens.

Ratio of ducks <span>: </span>geese <span>: </span>hens

24 <span>: </span>36 <span>: </span>48

Dividing each quantity by 12 gives us

2 <span>: </span>3 : 4

So the ratio of ducks to geese to hens equals 2 : 3 : 4 which is the simplest form since we can find no further common factor.

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3 years ago
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