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puteri [66]
2 years ago
8

Given the equation y+2=5(x-3), identify the point and slope being used in the problem.

Mathematics
1 answer:
Murljashka [212]2 years ago
4 0

Answer:

Point (3,-2) and Slope = 5

Option C is correct option.

Step-by-step explanation:

Given the equation y+2=5(x-3), identify the point and slope being used in the problem.

The equation is given in point-slope form

The general equation of point-slope form is: y-y_1=m(x-x_1)

Where m is slope and (x₁,y₁) is the point

Comparing the given equation y+2=5(x-3) with general equation we get

m=5,

x₁=3

y₁=-2

So, Point (3,-2) and Slope = 5

Option C is correct option.

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Solve the system of equations below by elimination. Write your answer as an ordered pair. e.g. (2,3)
Lyrx [107]

Answer:

(45,35)

Step-by-step explanation:

1 - Stack the equations on top of each other

3x - 4y = -5

4x + 4y = 40

2 - We can eliminate by subtracting the bottom equation from the top equation

 3x - 4y = -5

- 4x - 4y = 40

3 - The y's cancel out, leaving us with...

 3x = -5

- 4x = 40

4 - Continue simplifying

-1x = -45

5 - We can switch the -1x with -x to make things simple

-x = -45

6 - Positize (make it positive) the statement

x = 45

7 - Halfway there! Substitute the x value into one of the equations

(3 * 45) - 4y = -5

8 - Solve

135 - 4y = -5

Minus 135 on both sides

-4y = -140

Divide by -4 on both sides

y = 35

9 - Here is your answer!!

x = 45

y = 35

(45,35)

4 0
3 years ago
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nlexa [21]

Answer:

The correct answer is <em>SECOND </em>

Step-by-step explanation:

KCF.

Keep

Change

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Example

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Ainat [17]

Answer:

x = 16

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Step-by-step explanation:

Recall that the addition of matrices is done when matrices are of the same dimension. In this case, you are in fact adding matrices of the same dimension (dimension 1x2). Recall as well that in the addition of matrices, the elements of each matrix combine only with the element located in the exact same position in the other matrix.

So for this case the first element of the first matrix "16" combines with the first element of the second matrix "0" resulting in an element of value16 + 0 =16 in the new matrix.

Equally, the second element of the first matrix "-24" combines with the second element of the second matrix, resulting in : -24 + 0 = -24.

Therefore, the matrix resultant from this addition is: [16   -24] (same form of the first matrix, which indicates that adding a zero matrix to an existing matrix will not change the first matrix.

5 0
3 years ago
if an experiment consist of throwing a die and then drawing a letter at random from the English alphabet, how many points are th
Rama09 [41]
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