Triangle MNO has vertices with coordinates (–8, 2), (–5, 5), and (5, – 2).





Which of these equations represents the line that passes through point N and is perpendicular to the line passing through points O and M?
y = x + 3

y = x - 3

y = -x + 3

y = -x - 3

Triangle MNO Has Vertices With Coordinates (8, 2), (5, 5), And (5, 2).Which Of These Equations Represents

Answers

Answer 1

Answer:

i think its c

Step-by-step explanation:

Answer 2

The equation of a straight line is represented as: [tex]y = mx + c[/tex]

The equation of the line is: [tex](c)\ y = -x +3[/tex]

The coordinates are given as:

[tex]M = (-5,5)[/tex]

[tex]N = (5,-2)[/tex]

[tex]O = (-8,2)[/tex]

First, we calculate the slope of line MO using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{2-5}{-8--5}[/tex]

[tex]m = \frac{-3}{-3}[/tex]

[tex]m = 1[/tex]

The line that passes through N is perpendicular to MO.

This means that, the slope (m2) of the line is:

[tex]m_2 = -\frac 1m[/tex]

So, we have:

[tex]m_2 = -\frac 1{1}[/tex]

[tex]m_2 = -1[/tex]

The equation of the line is then calculated as:

[tex]y = m_2(x - x_1) + y_1[/tex]

Where:

[tex]m_2 = -1[/tex]

[tex]N = (5,-2)[/tex] --- [tex](x_1,y_1)[/tex]

So, we have:

[tex]y = -1(x -5) - 2[/tex]

[tex]y = -x +5 - 2[/tex]

[tex]y = -x +3[/tex]

Hence, the equation of the line is: [tex](c)\ y = -x +3[/tex]

See attachment for the graph of the lines

Read more about equations of straight lines at:

https://brainly.com/question/21627259

Triangle MNO Has Vertices With Coordinates (8, 2), (5, 5), And (5, 2).Which Of These Equations Represents

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True

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Answer:

70

Step-by-step explanation:

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Step-by-step explanation:

Solve 4 - 2(-5a - 10)=30 and justify each step

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First you would do parenthesis according to the PEMDAS(Parenthesis, Exponents, Multiply, Divide, Add, Subtract) Rule

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A = 0.6

Solve for n.

12n+34n=12

Enter the answer, as a whole number or as a fraction in simplest form, in the box.
n =( )

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Step-by-step explanation:

12n + 34n = 12

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= 0.2609

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Step-by-step explanation:

PLEASE HURRY

Andrew solved the following inequality, and his work is shown below:

−4(x + 8) + 25 ≤ −2 + 1(x − 50)
−4x − 32 + 25 ≤ −2 + 1x − 50
−4x − 7 ≤ 1x − 52
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What mistake did Andrew make in solving the inequality? (2 points)

Question 3 options:

1)

He subtracted 1x from both sides when he should have added 4x.

2)

When dividing by −5, he did not change the ≤ to ≥.

3)

He added 7 to both sides when he should have added 52.

4)

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Answers

Answer:

Answer 2) When dividing by -5, he did not change the [tex]\leq[/tex] to [tex]\geq[/tex].

Step-by-step explanation:

If you divide or multiply a negative, you ALWAYS change the sign to its opposite.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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The table shows the changes in the times (in seconds) of four teammates. What is the mean change? Write your answer as a decimal. -2.43, -1.85, 0.61, -1.45

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I’m about to answer give me one sec

Find x, y, and z

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Answers

answer:

x = 29

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z = 61

step-by-step explanation:

all angles in a triangle must equal 180 degrees.

we were already given the angle degree of 61 degrees so we must include that in our formula to determine the degree of y.

the line in the middle already gives us two more angles because they both are 90 degrees for being a perfect quarter turn.

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-audrey <3

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Cheryl’s recipe for homemade pudding calls for 4 1/2 cups of water and 2 cups cream. She decides to scale the recipe to use all 3 2/3 cups of cream she has in her refrigerator. How much water should she use?

A. 8 1/4 cups
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D. 4 1/2 cups

Tysm!

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Answer:

a 8 1/4 c

Step-by-step explanation:

I converted to decimals first. 4.5 c water to 2 c cream. wants to use 3.66 cream. 3.66/2= 1.83. she is increasing cream by 1.83%, next multiply same % to water. 4.5 cups * 1.83 = 8.235 which is closest to 8.25= 8 1/4

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Answers

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Step-by-step explanation:

[tex]8(4 - x) = 10[/tex]

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[tex] \frac{ - 8x}{ - 8} = \frac{ - 22}{ - 8} [/tex]

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Answer:

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P.s.

Please give me brainliest.

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Answer:

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Step-by-step explanation:

We are told that: the scale on a map is 1 inch =2 1/2 miles.the distance between two streets on the map is 1 3/4 inches

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Step-by-step explanation:

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Akinte, Chuck, Jenny, and Norma are all going to college next year.

Use these clues to find their full names and their respective colleges.

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2. Chuck applied to Penn Valley but decided to go elsewhere.

3. Penigar and the student going to Perun Valley are avid tennis players.

4. Norma, the person going to St. Mary's, and Penigar all want to

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Answer and explanation:

Akinye Reynoso

Chuck peningan

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Jenny olowski

Akinte is not going to the University of Memphis nor university of Sierra tech nor university of Penn valley but goes to St Mary just like Reynoso(his surname)

Chuck is not going to St Mary nor Sierra tech nor Penn valley but goes to Memphis just like pennigan

Norman does not go to Memphis nor Penn valley nor St Mary but goes to Sierra tech just like van hee

Jenny does not go to Sierra tech nor St Mary nor Memphis but goes for Penn valley just like olowski

Akinte Reynoso is the full name of Akinte and he is going to the St. Mary collage, Chuck Peningan is the full name of the chuck and he is going to the Memphis collage, Norma van hee is the full name of the Norma and he is going to the Sierra tech collage and Jenny olowski  is the full name of the Jenny and heis going to the Pann vally collage.

Given-

Four students going to college next year are Akinte, Chuck, Jenny, Norma.

According to clues given in the question, Akinte is not going to the University of Memphis or university of Penn valley. From the clue 6 he is also not going to the  university of Sierra tech . Now only Reynoso is going to the St. Mary which is the surname of the Akinte.

Chuck is not going to St Mary, Sierra tech or Penn valley. He Memphis as pennigan which is his surname.

Norman does not go to Memphis, Penn valley or St Mary. He goes to Sierra tech as van hee which is his surname

From the clues Jenny does not go to Sierra tech, St Mary or Memphis. He goes for Penn valley as olowski, which is his surname.

Akinte Reynoso is the full name of Akinte and he is going to the St. Mary collage, Chuck Peningan is the full name of the chuck and he is going to the Memphis collage, Norma van hee is the full name of the Norma and he is going to the Sierra tech collage and Jenny olowski  is the full name of the Jenny and heis going to the Pann vally collage.

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Which equation correctly represents this situation?

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Make a table of ordered pairs for the equation.



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Then plot two points to graph the equation.

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Root is (-1/2, 0)
Vertical intercept is (0,1)

3/4 (6x + 1) - 3x = 1/4 (2x - 1)

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3/4*(6x+1)-3*x-(1/4*(2*x-1))=0
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3/4 (6x + 1) - 3x = 1/4 (2x - 1) . The purpose of this question is to solve for x.

[tex]\mathbf{x = \dfrac{-4}{13}}[/tex]

Given that:

3/4 (6x + 1) - 3x = 1/4 (2x - 1)

When calculating algebraic expression, we take note of integers in bracket first, then we collect the like terms in order to find the value of x.

[tex]\mathbf{\dfrac{3}{4} (6x + 1) - 3x =\dfrac{1}{4} (2x - 1) }[/tex]

Let's multiply both sides by 4 to eliminate the fraction.

[tex]\mathbf{(\dfrac{3}{4} \times 4) (6x + 1) - 3x =(\dfrac{1}{4} \times 4 ) (2x - 1) }[/tex]

[tex]\mathbf{(3) (6x + 1) - 3x =(1 ) (2x - 1) }[/tex]

Open brackets;

18x + 3  - 3x = 2x - 1  

By rearrangement;

18x - 3x + 3 = 2x - 1

15x + 3 = 2x - 1

Collect like terms

15x - 2x = - 3 - 1

13x = - 4

Divide both sides by 13

[tex]\mathbf{\dfrac{13x}{13} = \dfrac{-4}{13}}[/tex]

[tex]\mathbf{x = \dfrac{-4}{13}}[/tex]

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Answer:

x. a.

y. b

z. c.

Step-by-step explanation:

So from the middle column, we know that each row or colum must be -12 because 1 - 8 - 5. x + 1 - 12 should be = - 12, so x -11 = 12, so x = -1

For z, - 12 + 3 + z = -12, so z = -3

For y, y - 5 + z = -12, but we know z so we can plug in -3:

y - 5 - 3 = - 12

y - 8 = -12

so y must be -4

ANSWER ASAP GIVING 50 PTS (25 each)

Answers

Answer:

The value of k is -2

Step-by-step explanation:

The cut point with the y axis for both graphs occurs when x = 0

We have then:

For f (x):

The cut point with the y axis is:

 

For g (x):

The cut point with the y axis is:

 

Therefore, the value of k is given by the vertical displacement of the graph k units.

We have then:

  From here, let's clear k:

 

Answer:

The value of k is -2

Answer:

-2

Step-by-step explanation:

nice computer btw lol

also it is easier if you just screen shot

Research in March 2019 suggests that 40% of U.S. Adults approve of way President Trump is running the country. We randomly sample 50 U.S. Adults and find that 35% approve of way President Trump is running the country. What is the probability that a random sample of 50 U.S. Adults has less than 35% with this opinion? (Round standard error to 2 decimal places before calculating Z. Round Z to 2 decimal places before using the Normal Distribution Calculator.) Group of answer choices about 0.24 about 0.76 about 0.48

Answers

Answer:

The probability is  [tex]P( \^ p  <  0.35)=    0.2388 [/tex]

Step-by-step explanation:

From the question we are told that

   The  population proportion is  p =  0.40

    The sample size is  n  =  50  

   

 Generally the standard error is mathematically represented as

       [tex]\sigma_{\= p} =  \sqrt{\frac{p *  (1- p)}{n} }[/tex]

=>     [tex]\sigma_{\= p} =  \sqrt{\frac{0.40 *  (1- 0.40)}{50} }[/tex]

=>     [tex]\sigma_{\= p} = 0.07[/tex]

Generally the probability that a random sample of 50 U.S. Adults has less than 35% with this opinion is mathematically represented as

      [tex]P( \^ p  <  0.35) =  P(\frac{\^ p  -  p}{\sigma_{\= p}} <  \frac{0.35 - 0.40}{0.07}  )[/tex]

Generally  [tex]\frac{\^ p  -  p}{\sigma_{\= p}} =  Z (The \  standardized \ value\ of \  \^ p )[/tex]

=>   [tex]P( \^ p  <  0.35)=P(Z  <  -0.71)[/tex]

From the z table  

    [tex]P(Z  <  -0.71) =  0.2388[/tex]

So

     [tex]P( \^ p  <  0.35)=    0.2388 [/tex]

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