All categories

3 years ago

Question 2

Mathematics

1 answer:

Anni [7]3 years ago

6 0

Answer:

$M = (9,3)$

Step-by-step explanation:

Given

$(x_1,y_1) = (4,8)$

$(x_2,y_2) = (14,-2)$

Required

Find the midpoint (M)

The midpoint is calculated as follows:

$M = (\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2))$

Substitute values for x's and y's

$M = (\frac{1}{2}(4+14),\frac{1}{2}(8-2))$

$M = (\frac{1}{2}(18),\frac{1}{2}(6))$

$M = (\frac{1}{2}*18,\frac{1}{2}*6)$

$M = (9,3)$

Hence, the midpoint is (9,3)

You might be interested in

Solve the formula F=9/5C+32 for degrees Celcuis C. show all your steps

borishaifa [10]

Start with your given equation - F=9/5C+32

Subtract 32 from both sides - F-32=(9/5) degrees C

Multiply both sides by 5 - 5(F-32)=9C

Divide both sides by 9 to isolate C - (5/9)(F-32)=C

Answer - C=(5/9)(F-32)

I AM NOOO MATH EXPERT, BUT THAT IS WHAT I GOT... HOPE THIS HELPS!

6 0

2 years ago

What are the factors of x2 − 64?

geniusboy [140]

Well, should be likee thiss correct meh if im wrong or what ever, but
the answer would be, last one (x + 8)(x - 8), well 1, is because the 64 is a negative so if you would just take that 64 and bring it down then look at this onece the work is donee then when u add the 2 numbers that x would be x² or x2 n that - 64 is that + 8 (-8) witch would equal out so if you really look at it the CORRECT ANSWER WOULD BE B. (x - 8)(x -8)

i realli understand if youu don't then comment in the sec beloww↓

6 0

3 years ago

Write the slope-intercept form of the equation of the line described.

Svetach [21]

Answer:

1) y = 2/3x - 2

2) y = -1/2x + 3

Step-by-step explanation:

1) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = 2/3x + c

0 = 2/3(3) + c

0 = 2 + c

0 - 2 = c

- 2 = c

Therefore, the slope-intercept form for the first part is y = 2/3x - 2.

2) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = -1/2x + c

1 = -1/2(4) + c

1 = -2 + c

1 + 2 = c

3 = c

Therefore, the slope-intercept form for the second part is y = -1/2x + 3.

5 0

1 year ago

A square and a rectangle have the same perimeter. Find the side lengths of each figure.

aliina [53]

X + 1 + X + 1 + X +1+ X +1 = 2X -3+ 2X -3+ X -1+ X -1
4x + 4 = 4x-6+2x-2
4x+4=6x-8
12=2x
6=x

Side lengths:
6-1=5
6+1=7
2(6)-3=9

Hope that helps! Stay safe!

4 0

3 years ago

Read 2 more answers

The measures of ∠1, ∠2, and ∠3 are 40%, 12.5%, and 25% of the sum of the angle measures of the quadrilateral. Find the value of

sweet [91]

The value of x is 81

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360°

The measure of ∠1 is 40% of the sum of the angle measures of the quadrilateral
The measure of ∠2 is 12.5% of the sum of the angle measures of the quadrilateral
The measure of ∠3 is 25% of the sum of the angle measures of the quadrilateral
We need to find the value of x

∵ The figure have 4 sides

∴ The figure is a quadrilateral

∵ The sum of the measures of the interior angles of a

quadrilateral is 360°

- Add the four angles and equate the sum by 360

∴ m∠1 + m∠2 + m∠3 + x = 360

∵ m∠1 = 40% of the sum of the angle measures of the quadrilateral

∴ m∠1 = 40% × 360 = $\frac{40}{100}$ × 360 = 144°

∵ m∠2 = 12.5% of the sum of the angle measures of the quadrilateral

∴ m∠2 = 12.5% × 360 = $\frac{12.5}{100}$ × 360 = 45°

∵ m∠3 = 25% of the sum of the angle measures of the quadrilateral

∴ m∠3 = 25% × 360 = $\frac{25}{100}$ × 360 = 90°

- Substitute these values in the equation above

∴ 144 + 45 + 90 + x = 360

- Add the like terms in the left hand side

∴ 279 + x = 360

- Subtract 279 from both sides

∴ x = 81°

The value of x is 81

Learn more:

You can learn more about the polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0

2 years ago