Point O is on line segment NP Given OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3 determine the numerical length of OP .

Answers

Answer 1

Answer: 11 units.

Step-by-step explanation:

Given: Point O is on line segment NP.

i.e. NP is the combination of NO and OP.

i.e. NP = NO+OP                    (1)

Since , OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3

Substitute these values in (1), we get

[tex]3x + 4 = 2x - 3 + 4x - 5[/tex]

[tex]\Rightarrow\ 3x+4=2x+4x-3-5\\\\\Rightarrow\ 3x+4=6x-8\\\\\Rightarrow\ 6x-3x=8+4\\\\\Rightarrow\ 3x=12\\\\\Rightarrow\ x=\dfrac{3}{12}=4[/tex]

i.e. x= 4

Now, OP = 4(4)-5= 16-5= 11 units

Hence, the numerical length of OP is 11 units.


Related Questions

-2(k - 5) + 2k = 5k + 5​

Answers

K=1

-2k + 10 + 2k = 5k + 5

10 = 5k + 5

5= 5k

K= 1

A designer found the area of a wall to be 5.0 square yards. What is the area of the wall in square meters?hhhshxhxhd

Answers

Step-by-step explanation:

ᑎⓄ丂  Ä ɆⓇᗪαⒹ Ⓔ   ʇ  ƬⒶ℟Å    ฿ⓇØ

Can someone explain how to solve g(x)=x-6

Answers

Answer:

you cant solve that y=x-6 is not a solve able question it's just a function,do you mean how to graph it

convert 2000m to centimeters​

Answers

Answer:

200,000cm

Step-by-step explanation:

1m = 100cm

2000m = ?

2000 × 100 = 200,000cm

2,00,000cm

Step-by-step explanation:

1m= 100cm

2000m=?

2000m= 2000× 100 cm

= 2,00,000cm


Which term has a coefficient of 1?

Answers

Answer:

Variables with no number have a coefficient of 1.

Step-by-step explanation: x is really 1x.

1 does i have done this before

if 7x - 11 = 17, then x = 4
I really need help I don’t understand anything and my teacher isn’t a big help either

Answers

It is C. In option C, it tells you that x=4. All you have to do is fill in the blanks.

7 • 4 - 11 = 17
28 - 11 = 17
17 = 17

The statement is true. 17 does equal 17, so the answer is C.

FIRST ANSWER GETS BRANLIEST!!

Answers

Answer:

(0,0)

Step-by-step explanation:

Let's think about how the graph of this would look.

We know that y will be [tex]x^2[/tex], meaning that if x was 0, y would be 0.

If x was 1, y would be 1

If x was 2, y would be 4.

Now let's think about negative numbers.

If x was -1, y would be 1 (since [tex]-1^2 = 1[/tex]

If x was -2, y would be 4 (since [tex]-2^2 = 4[/tex]).

This means that our graph would turn at the point where x and y are equal (excluding 1,1)

This is 0,0.

So 0,0 is the turning point of this graph.

Hope this helped!

The endpoints of GH are G(3,3) and H(-7,7).
Find the coordinates of the midpoint M.

Answers

Step-by-step explanation:

Hey there!!

You can simply use midpoint formulae to find midpoint of the coordinates.

Here, Given that;

G(3,3) and H(-7,7).

Using midpoint formulae,

[tex]midpoint \: of \: gh = (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex])

[tex]midpoint \: of \: gh = (\frac{3 - 7}{2} ,\frac{3 + 7}{2} [/tex])

After simplifying it we get,

= (-2,5).

Therefore, midpoint of GH is M(-2,5).

Hope it helps....

1. Simplify the expresdion.
(1 Punto)
43 - ( 18 + 3)

Answers

Maybe use a calculator?

Rita bakes pies at The Corner Bakery. The number of pies she can bake, x, is limited by the ingredients
they have in stock. This situation is represented by the compound inequality 2x - 3 < 7 and 5 - x < 8.
Solve the compound inequality and select all the viable solutions.
-2 pies
2 pies
1 pie
O pies
-1 pies
-3 pies
5 pies
6 pies
4 pies
3 pies

Answers

Answer:

The solution for the inequality is -3< x <5

The viable solutions are;

-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies

Step-by-step explanation:

The given inequalities are;

2·x - 3 < 7 and 5 - x < 8

Therefore, we have;

2·x - 3 < 7

2·x < 7 + 3

2·x < 10

x < 5

From the other inequality, we have;

5 - x < 8

-x < 8 - 5 = 3

-x < 3

-x/(-1) > 3/(-1)  

x > -3

Therefore, the solution for the inequality is given as follows;

-3< x <5

The possible values are;

-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies.

The following three functions look very similar, but define very different functions. Think about how they are defined and write each as a composition of functions given the information below. (None of the functions in your compositions should be the same as the given function.) 1. sin^4 (x) = f(g(x)) where f(x) = , and g(x) = . 2. sin(sin(x)) = f(g(x)) where f(x) = , and g(x) = . 3. sin x^4 = f(g(x)) where f (x) = , and g(x) = .

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following functions :

sin^4 (x) = f(g(x)) where f(x) = and g(x) =

Sin⁴(x) = sin(x)⁴

g(x) = sin(x),

f(x) = f(g(x)) = f(sin(x)⁴) = x⁴

2.) sin(sin(x)) = f(g(x)) where f(x) = , and g(x) =

g(x) = sin(x) ; sinx = x

g(x) = sin(x)

f(x) = f(g(x)) = sin(x) ; sin(x) = x

f(x) = f(g(x)) = f(sin(x))

f(x) = sin(x)

3. sin x^4 = f(g(x)) where f (x) = , and g(x) = .

Here,

g(x) = x⁴

f(x) = f(g(x)) = sin(g(x)) = sin x

f(x) = sinx

The functions are illustrations of composite functions, where multiple functions are combined in one.

(1) sin^4 (x) = f(g(x))

Rewrite the above function as:

[tex]f(g(x)) = \sin^4(x)[/tex]

So, we have:

[tex]f(g(x)) = (\sin(x))^4[/tex]

From the above equation, we have:

[tex]g(x) = \sin(x)[/tex]

So, we have:

[tex]f(g(x)) = (g(x))^4[/tex]

Substitute x for g(x)

[tex]f(x) = x^4[/tex]

Hence, the functions are:  [tex]f(x) = x^4[/tex] and [tex]g(x) = \sin(x)[/tex]

2.) sin(sin(x)) = f(g(x))

Rewrite the above function as:

[tex]f(g(x)) = \sin(\sin(x))[/tex]

From the above equation, we have:

[tex]g(x) = \sin(x)[/tex]

So, we have:

[tex]f(g(x)) = \sin(g(x))[/tex]

Substitute x for g(x)

[tex]f(x) = \sin(x)[/tex]

Hence, the functions are:  [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = \sin(x)[/tex]

3. sin x^4 = f(g(x))

Rewrite the above function as:

[tex]f(g(x)) = \sin(x^4)[/tex]

From the above equation, we have:

[tex]g(x) = x^4[/tex]

So, we have:

[tex]f(g(x)) = \sin(g(x))[/tex]

Substitute x for g(x)

[tex]f(x) = \sin(x)[/tex]

Hence, the functions are:  [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = x^4[/tex]

Read more about composite functions at:

https://brainly.com/question/10687170

A basketball court is shaped like a rectangle 20 meters long and 10 meter
wide? What is the area of the court?

Answers

Answer:

200 squared meters.

Step-by-step explanation:

Since we know the court is a rectangle, we can use the formula for the area of a rectangle:

[tex]A=lw[/tex]

Where l is the length and w is the width.

We are given that the length is 20 meters and the width is 10 meters. Substitute:

[tex]A=20(10)[/tex]

Multiply:

[tex]A=200\text{ meters}^2[/tex]

So, the area of the court is 200 squared meters.

Solve 10-13 find each measurement

Answers

Answer:

10)17.5

11)18

12)70

13)110

Problem 10

Answer: RS = 17.5

This is because the opposite sides of any parallelogram are congruent (PQ = RS and QR = PS)

======================================

Problem 11

Answer: QT = 18

Diagonal QS is cut in half (bisected) by the other diagonal PR. The smaller pieces QT and ST are the same length.

======================================

Problem 12

Answer: angle PQR = 70 degrees

The angle QRS is given to be 110 degrees. Angle PQR adds to this to get 180, so we effectively solve x+110 = 180 to get x = 70. Any pair of adjacent angles of any parallelogram are supplementary.

======================================

Problem 13

Answer: 110 degrees

Opposite angles of a parallelogram are congruent. Angle SPQ is opposite of angle QRS = 110.

Draw the line given the x-intercept: 3 y-intercept: -6

Answers

Answer:

draw the line from the -6 in the y axis to the 3 in the x axis


1. If 4 = ( p – 2 ) then the solution of p = ------
2.In the expression x/4 = 2/3 what is the value of the x

Answers

Answer:

x = 8/3

Alternative form

x = 2 2/3, x = 2.6

Step-by-step explanation:

First, simplify the equation using cross-multiplication

3x = 8

then divide both sides of the equation by 3 and there's your answer

x = 8/3

38 + − 21 = ???????????????????????????

Answers

Answer:

17

Step-by-step explanation:

Answer:

38 - 21 = 17.

Step-by-step explanation:

because - + = - ....

Hope it helps you..

Thanks

.

A ream of a certain brand of paper weighs about 3.225 pounds. A ream contains 500 sheets of paper. How much does a sheet of paper​ weigh?

Answers

Answer:

about 0.00645 pounds

Step-by-step explanation:

3.225 / 500 = 0.00645

Answer:

A single paper should weigh about 0.00645

Step-by-step explanation:

All you really need to do is divide 3.225 by 500.

Convert 1.9647 to a percent.

Answers

Answer:

196.47%

Step-by-step explanation:

1 is 100

So the rest just add in

1.9647 as a percent = 196.47% . Hope this helped!

200 ones into standard form

Answers

200 I think that’s it


pls help ASAP
Which number is missing from the prime factorization of 348?2 x ____ x 3 x 29

A. 2
B. 3
C. 5
D. 7

Answers

Answer: The answer is A. 2.

Answer:    your answer is A

You found hardwood flooring priced by the square foot. To find the price per square yard, you should do which of the following.

a.) Divide the price per square foot by 9
b.) Multiply the price per square foot by 3
c.) Multiply the price per square foot by 9
d.) Divide the price per square foot by 3 ​

Answers

Answer:

D. Divide the price per square foot by 3 ​

Step-by-step explanation:

1 foot = 0.333333 yard

price per square yard of the hardwood = price per square foot / 3

For instance, If the price per square foot is $900, then the price per square yard is

price per square yard of the hardwood = price per square foot / 3

= 900 / 3

= 300

price per square yard of the hardwood = $300

Which number is rational?Which number(s) below belong to the solution set of the inequality? Check all that apply. x + 6 < 38 A. 31 B. 26 C. 88 D. 44 E. 32 F. 70

Answers

Answer:

A. 31 and B. 26

Step-by-step explanation:

In order for x+6<38 to be true, we need to find the maximum number x can be. So we move 6 to other side which gives us x<32

Of the options A. 31 and B. 26 are the only ones that are less that 32. E. 32 does not count because x must be less than 32, not equal to it.

Hope this helped!

Please help me solve this Question Explanation will be appreciated.

Answers

Answer:

for the first question, the answer is B

6 × 6 (faces of a dice) = 36, there are 6 way to add 1-6 to 7 (1+6, 2+5, 3+4), so the answer is 6/36 or simplified into 1/6

for the second question, the answer is B

3/4 = 15/20, 3/5 = 12/20 (least common multiple is 20)

15/20 - 12/20 = 3/20

Write the inverse of f(x) = 3x - 1
f -1(x) =

log 3 x + 1
log 3 ( x - 1)
log 3 x - 1

Answers

Answer:

log 3 x +1 = f^-1(x)=[tex]\frac{10^x^-^1}{3}[/tex]

log 3 (x-1) = f^-1(x)=[tex]\frac{x}{log(3)} +1[/tex]

log 3 x - 1 = f^-1=[tex]\frac{10^x^+^1}{3}[/tex]

The inverse of the function f(x) = 3x - 1 is f⁻¹(x) = (x + 1)/3.

What is an inverse function?

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

Given, f(x) = 3x - 1.

Or y = 3x - 1.

3x = y + 1.

x = (y + 1 )/3.

f⁻¹(x) = (x + 1)/3.

learn more about the inverse of functions here :

https://brainly.com/question/2541698

#SPJ2

determine the quotient of 1 2/3 ÷ 4/5​

Answers

Answer:

The desired quotient is 25/12.

Step-by-step explanation:

Rewrite 1 2/3 as an improper fraction:  5/3.

Then divide this 5/3 by 4/5:

 5

------ ÷ 4/5

  3

It's easier (but completely correct) to invert the divisor (4/5) and then multiply 5/3 by (5/4):

  5       5       25

----- *  ----- = ------

  3        4       12

The teacher has 125 pencils they want to arrange in y amount of containers in the class. Write an expression to show how many pencils will be in each container.

Answers

Answer:

125/y

Step-by-step explanation:

Answer:

[tex]\frac{125}{y}[/tex]

Step-by-step explanation:

If you have 125 pencils and you have [tex]y[/tex] amount of containers, then you want to get an equal number of pencils in each container.

What operation do we know of that finds an equal distribution across a certain number of groups? Division! That can help us equally split a number into how many parts we need.

Division can be represented in two ways: with a division sign [tex]\div[/tex] or as a fraction [tex]\frac{x}{y}[/tex].

You'll find the that the division sign will be used a lot less during Algebra and you'll mainly stick to fractions.

If we are dividing 125 into [tex]y[/tex] groups, then our fraction is [tex]\frac{125}{y}[/tex].

Hope this helped!

2. Given that (ab - c) + d = e
Solve for a

Answers

Ab-c=e-d
Ab=e-d+c
A=e-d+c/b

I WILL MAKE BRAINLEST!!!!!!
Order the numbers from least to greatest. 1=least and 4=greatest LaTeX: \sqrt{\frac{9}{4}}9 4 LaTeX: \sqrt{5}5 LaTeX: 2.52.5 LaTeX: \frac{5}{3}5 3

Answers

Answer:

[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5

Step-by-step explanation:

Given the following numbers, [tex] \sqrt{\frac{9}{4}}, \sqrt{5}, 2.5, and, \frac{5}{3} [/tex], let's express each as whole or decimal numbers, to find out the least to the greatest.

[tex] \sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}} [/tex]

[tex] \frac{3}{2} = 1.5 [/tex]

[tex] \sqrt{5} [/tex] ≈ 2.2

2.5 (already in decimal form)

[tex] \frac{5}{3} [/tex] ≈ 1.7

From the least to the greatest, we have:

[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5

4+(x+5)+4+(x+5)+4=48

Answers

4+x+5+4+x+5+4=48
22+2x=48
2x=48-22
2x=26
X=13

Helpppppppppppppppp plz plz plz plz plz

Answers

Answer:

-19

Step-by-step explanation:

We know:

Samuel walks  forward 19 steps. So number is+19

We need to find:

How would he represent the opposite of this number

Answer :

Number = 19

To represent the opposite of this number Samuel should first take 19 steps back to reach his original position that is zero and then needs to move 19 steps backward to get -19.

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