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2 years ago

Find the coordinates of the midpoint of the segment given it’s endpoint M(-5, 9) and N(-2, 7)

Mathematics

1 answer:

inessss [21]2 years ago

5 0

Answer:

-7/2 , 8

Step-by-step explanation:

Given, M(-5,9) be x1 , y1

N(-2,7) be x2, y2

Now,

Using mid point formula

x = x1+x2/2 y = y1+y2/2

= -5-2/2 = 9+7/2

= -7/2 = 16/2

= 8

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3a2 + 2a + 2a2 is equal to

yanalaym [24]

Answer:

5a^2 +2a

Step-by-step explanation:

Like terms are ones with the same exponent of x. They can be combined.

3a^2 +2a +2a^2

= (3a^2 +2a^2) +2a

= (3+2)a^2 +2a

= 5a^2 +2a

4 0

3 years ago

Read 2 more answers

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

$FG=RO=L\\RF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

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

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

8 0

3 years ago

Expand the expression <br><br><br> -7(k - 3)

Illusion [34]

How can I help you?
−
7

(
k
−
3
)
-
7

(
k
-
3
)
Solve

4 0

3 years ago

PLAY AMONG US WITH ME CODE HNXSPQ SEE U THERE

Kipish [7]

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8 0

3 years ago

Read 2 more answers

Evaluate 4k2 + 3 when k = 5

lyudmila [28]

Answer:

103

Step-by-step explanation:

Evaluate 4k2 + 3

To evaluate 4k² + 3, when k = 5, which means when you sees k, put 5 in replacement

4k² + 3 = 4(5)² + 3

4(5×5) + 3

4(25) + 3

open the bracket

4 × 25 = 100

∴ 100 + 3 = 103

Please mark me brainliest

7 0

3 years ago

Read 2 more answers