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3 years ago

Select all the pairs of equivalent expressions.

Mathematics

1 answer:

gregori [183]3 years ago

3 0

Answer:

I know that the 4th and 5th equation are correct but I still need to figure out the others but these are what I got hope it helps?

Step-by-step explanation:

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Find the constant of proportionality k. Then write an equation for the relationship between x and y

ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Answer:

(a) $k = 5$

(b) $y = 5x$

Step-by-step explanation:

Given

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

$(x_1,y_1) = (2,10)$

$(x_2,y_2) = (6,30)$

The constant of proportionality k is:

$k = \frac{y_2 - y_1}{x_2 - x_1}$

$k = \frac{30-10}{6-2}$

$k = \frac{20}{4}$

$k = 5$

Solving (b): The equation

In (a), we have:

$(x_1,y_1) = (2,10)$

k can also be expressed as:

$k = \frac{y- y_1}{x- x_1}$

Substitute values for x1, y1 and k

$5 = \frac{y- 10}{x- 2}$

Cross multiply:

$y - 10 = 5(x - 2)$

Open bracket

$y - 10 = 5x - 10$

Add 10 to both sides

$y - 10 +10= 5x - 10+10$

$y = 5x$

6 0

3 years ago

On the grid, draw the line with<br> the equation x = -4

nexus9112 [7]

Answer:

Step-by-step explanation:

On a grid,

go to the middle, aka 0,0

move left 4 times, but stay on the same line. Then draw that line up and down on the -4 of x.

sorry if this isn't clear

6 0

3 years ago

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Standard Number 1 5 10 50 100 500 1,000 Roman Numeral 1 V X L с D A) 44 B) 34 C) 31 D) 29

adell [148]

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

5 0

3 years ago

Please help me fast i need help please

lina2011 [118]

The distribution is symmetric, I had the same exercise!!

8 0

3 years ago

Solve for x.<br><br> -3x+x=2(x-3)

Nat2105 [25]

Answer:

$x=-\frac{3}{2}$

Step-by-step explanation:

$-3x+x=2(x-3)\\ \Leftrightarrow -2x=2x-6\\ \Leftrightarrow 4x=-6\\ \Leftrightarrow x=-\frac{3}{2}$

5 0

3 years ago

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