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AVprozaik [17]
2 years ago
8

Martin wants to use coordinate geometry to prove that the opposite sides of

Mathematics
1 answer:
romanna [79]2 years ago
4 0

The correct answer is option A which is the distance between A and D will be  AD = \sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b.

<h3>What is coordinate geometry?</h3>

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

The formula utilised to find the distance between two points is;-

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

We have the coordinates of the point A = (0, 0) and D is  (0, b).By applying the formula to find the distance between A and D.

AD = \sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b.

Therefore the correct answer is option A which is the distance between A and D will be  AD = \sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b.

To know more about Coordinate geometry follow

brainly.com/question/18269861

#SPJ1

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Paraphin [41]
<h3> Hope this attachment helps u</h3>

5 0
3 years ago
Need help with equations with variables on both sides, giving 100 points, tysm if you help :) 6 (2x-4) = 8(x +2) A. 3 B. 10 C. 2
scoundrel [369]

Answer:

B. 10

C. All real numbers.

Step-by-step explanation:

6 (2x-4) = 8(x + 2)

Distribute the numbers outside of the factors:

12x - 24 = 8x + 16

Subtract both sides by '8x'

12x - 8x - 24 = 8x - 8x + 16

4x - 24 = 16

Add '24' to both sides:

4x = 40

Divide both sides by 4:

x = 10. Therefore, <u>B. 10</u> is the correct answer.

3(4p - 2) = -6(1 - 2p)

Distribute the numbers similarly to the example before:

12p - 6 = -6 + 12p

Subtract '12p' from both sides:

12p - 12p -6 = -6 + 12p - 12p

0 -6 = -6

Add '6' to both sides:

0 - 6 + 6 = -6 + 6

0 = 0

Therefore, the solution consists of <u>all real numbers.</u>

3 0
3 years ago
An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar
erica [24]

Answer:

0.16%

Step-by-step explanation:

Cost of rent per quarter = $4000

Cost of rent per year = 4×$4000

= $16,000

This means that the apartment building produces $12,000 per year in gross rents.

Yearly Expenses are as follows;

Maintenance expenses per year = 12×$350 = $4200

Property taxes per year = $1,750

Mortgage payment per year = 12×$650 = $7800

Total expenses per year = sum of all the yearly expenses

= $4200+$1,750+$7800

= $13750

Yearly revenue generated = Cost of rent per year - total yearly expenses

= $16,000-$13750

= $2250 (net operating income)

Capitalization rate is given as the ratio of the net operating income to the market value of the building.

Capitalization rate = net operating income/market value of building

Since the building with $83750, that will be its market value

Cap rate = $13750/$83750

Cap rate = 0.16%

6 0
3 years ago
Please help me with this
Dimas [21]
I hope this helps, it’s a bit messy but yeahh

4 0
2 years ago
On the board, your teacher shows an example of finding the range.
Paladinen [302]

Answer:

I think answer is B or C or D

Step-by-step explanation:

3 0
3 years ago
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