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damaskus [11]
3 years ago
6

Point O is on line segment \overline{NP}

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

Answer:

OP = 11

Step-by-step explanation:

Given

OP = 4x - 5

NP = 3x + 4

NO = 2x - 3

Required

Determine the value of OP

Since O lines n the segment, them

NP = NO+ OP\\

3x + 4 = 2x - 3 + 4x - 5

Collect Like Terms

3x - 2x - 4x = -3 -5 - 4

-3x=-12

x = \frac{-12}{-3}

x = 4

Substitute  4 for x in  OP = 4x - 5

OP = 4 * 4 - 5

OP = 16 - 5

OP = 11

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This question has three parts. Answer the parts in order.
nalin [4]

Answer:

The area of the smallest section is A_{1}=100yd^{2}

The area of the largest section is A_{2}=625yd^{2}

The area of the remaining section is A_{3}=250yd^{2}

Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:

- Area of the first section:

A_{1}=10yd*10yd

A_{1}=100yd^{2}

- Area of the second section:

A_{2}=x^{2} (Eq.1)

- Area of the third section:

A_{3}=width*length

A_{3}=10yd*x (Eq.2)

2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

A_{1}+A_{2}+A_{3}=975yd^{2}

Replacing values:

100+x^{2}+10x=975

Solving for x:

x^{2}+10x-875=0

x=\frac{-10+\sqrt{100+(4*875)}}{2}

x=\frac{-10+\sqrt{3600}}{2}

x=\frac{-10+60}{2}

x=25

3. Replacing the value of x in Eq.1 and Eq.2:

- From Eq.1:

A_{2}=25^{2}

A_{2}=625yd^{2}

- From Eq.2:

A_{3}=10*25

A_{3}=250yd^{2}

3 0
3 years ago
(3, -2), slope - 1/6
Reika [66]
-2=-1/6(3)+b 
-2=-0.5+b
-1.5+b
y=-1/6 -0.5
7 0
3 years ago
What is |-3|+|-2|? Please answer asap! Thank you
makvit [3.9K]
A - 24!

-21 as its true value is 21

-3 as its true value is 3

if you add them together you get 24!

Hope this helped ^^
5 0
3 years ago
Read 2 more answers
X + 18 greater than or equals 26
cricket20 [7]

Answer:

x + 18 ≥ 26

Step-by-step explanation:

"greater than or equals": ≥

x + 18 ≥ 26 is your answer.

If you are trying to solve it so you isolate x, subtract 18 from both sides:

x + 18 (-18) ≥ 26 (-18)

x ≥ 26 - 18

x ≥ 8

x ≥ 8 is your answer.

~

5 0
3 years ago
Read 2 more answers
A<br>T<br>R<br>C<br>CR-12 cm<br>RE<br>11<br>TI-<br>IV.<br>VE-<br>CE<br>EA<br>AT​
Afina-wow [57]

Answer:

i think those are cord nits correct me if im wrong i might be

Step-by-step explanation:

5 0
3 years ago
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