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Sidana [21]
3 years ago
12

Y = 3x -1 2x + 4y = 24 SOMEONE EXPLAIN IN STEPS PLEASE!!!

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

y = 3x - 1 → (1)

2x + 4y = 24 → (2)

Substitute y = 3x - 1 into (2)

2x + 4(3x - 1) = 24 ← distribute and simplify left side

2x + 12x - 4 = 24

14x - 4 = 24 ( add 4 to both sides )

14x = 28 ( divide both sides by 14 )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = 3(2) - 1 = 6 - 1 = 5

solution is (2, 5 )

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Given the points (2,k) and (0,−6), for which values of k would the distance between the points be 5–√ ?
natka813 [3]

The value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5

<h3>What is a distance formula?</h3>

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The question is:

Given the points (2,k) and (0,−6), for which values of k would the distance between the points be √5

\rm \sqrt{5}=\sqrt{(0-2)^2+(-6-k)^2}

5 = 4 + (6 + k)²

After solving:

\rm 4+\left(6+k\right)^2-4=5-4

(6 + k)² = 1

k = -5 or -7

Thus, the value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5

Learn more about the distance formula here:

brainly.com/question/18296211

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8 0
2 years ago
Please help me im stuck here U_U
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Using the inverse function concept, the table that represents the inverse of the table given is table a.

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The inverse of the function is given by the set that contains point (y,x), that is, the coordinates are exchanged.

In the table given, we have points (0,0), (2,1) and (4,2), hence the inverse table has points (0,0), (1,2) and (2,4), which is table a.

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8 0
2 years ago
3/10 divided by 2/5 times 9
Lisa [10]

Answer:

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Step-by-step explanation:

3/10 = 0.3

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0.3 / 0.4 = 0.75

0.75 x 9 = 6.75

hope i helped

8 0
3 years ago
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