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olya-2409 [2.1K]
3 years ago
13

What is the absolute value of -36

Mathematics
1 answer:
zlopas [31]3 years ago
4 0
The answer is 36 because -36 turns into 36
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Write the equation of the line that contains (-4, -3) and is parallel to the line x+2y=-10
Vikentia [17]
<h2>Introduction</h2>

Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you with this problem. We can solve this problem in 2 steps, respectively Theory and Solving.

I'll go ahead and start with the Theory.

<h2>Theory</h2>

Before we attempt to solve the problem mathematically, we must first figure out how we're going to solve this problem.  

We know that we have a line and a point, we can start by graphing the equation and point that we've received.

<h2 /><h2>Solving</h2>

Now that we have our points plotted and our equations graphed, we can start to see that something odd is happening, the given point is on the line itself.

We can check this by inputting the points into our equation:

(-4)+2(-3)=-10?\\(-4)+(-6)=-10?\\-10=-10

This proves that our point is on the line that we were given.

According to the basic rules of Euclidean Geometry, we know that parallel lines can never intersect each other and due to this there cannot be any solution to this problem.

Any other line using this point would intersect the given line, and due to this, this problem has no real solutions.

* The only line that can use these points and graph is the line provided, and that cannot work due to the lines intersecting at an infinite number of points.

Cheers,
Galaxy.

4 0
1 year ago
Someone please help with all this. Show working out as well! Will mark as brainliest.<br> Thanks
Eva8 [605]

9514 1404 393

Answer:

  a) k = -19

  b) P(x) = (5x +1)(3x -1)(2x -1)

  c) x = {-1/5, 1/3, 1/2}

  d) see attached

  e) no; P(-1) = -48

  f) see attached

Step-by-step explanation:

a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:

  1 + (10 +k)/9 = 0

  (10 +k)/9 = -1 . . . . . subtract 1

  10 +k = -9 . . . . . . . .multiply by 9

  k = -19 . . . . . . . . . . subtract 10

For (3x -1) to be a factor, the value of k is -19.

__

b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...

  P(x) = (5x +1)(3x -1)(2x -1)

The linear factors can also be obtained by finishing the factoring of ...

  P(x) = (3x -1)(10x^2 -3x -1)

The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).

So P(x) = (3x -1)(5x +1)(2x -1).

__

c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.

__

d) See the attachment for a graph

__

e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).

__

f) See the attachment.

8 0
3 years ago
Paula collected 75 stickers. She shares her stickers with 5 of her friends equally. How many stickers will each get?
Daniel [21]
75 ÷ 5 = 15. So each friend will get 15 stickers. 
8 0
3 years ago
What is the equation of the line that has a slope of -4 and passes through ( 9, -5)
11111nata11111 [884]

Answer:

y = -4x + 31

Step-by-step explanation:

y = mx + b

y = -4x + b

-5 = -4(9) + b

-5 = -36 + b

b = 31

6 0
3 years ago
Jean bought a $1,980 snow thrower on the installment plan. The installment agreement included a 10% down payment and 18 monthly
Effectus [21]

<u>Solution-</u>

The price of the snow thrower = $1980

He must pay a 10% down-payment and the rest at a $116 monthly payment for 18 months.

<u>A. How much is the down payment</u>

Down payment amount is, 10% of $1980, i.e

=1980\times \dfrac{10}{100}=\dfrac{1980}{10}=\$198

<u>B. What is the total amount of the monthly payments</u>

A monthly payment of $116 for 18 months, i.e

=116\times 18=\$2088

<u>C. How much did Jean pay for the snow thrower on the installment plan</u>

It is the sum of down-payment and total monthly payments, i.e

=198+2088=\$2286

<u>D. What is the total finance charge</u>

It the difference between the original price and the amount paid by Jean, i.e

=2286-1980=\$306

<u> E. If Jean models her payment plan as an arithmetic sequence, give the first term a1 and the common ratio d</u>

As he paid the down-payment of $198 and then a constant monthly payment of $116, so

The first term = 198

common difference = 116

The A.P. series will be, 198, 314, 430, 546, 662,.................., 2286

4 0
3 years ago
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