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2 years ago

Find the distance between each pair of parallel lines with the guven equation y=2x+7 y=2x-3

Mathematics

1 answer:

Doss [256]2 years ago

4 0

Answer:

Step-by-step explanation:

The y-intercept for each line is...

y=2x+7 (0, 7)

y=2x-3 (0, -3)

Note this is because...

y=mx+b

b represents the y-intercept

Using the distance formula...

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

$d=\sqrt{(0-0)^2+(7-(-3))^2$

$d=\sqrt{0+(10)^2$

$d=\sqrt{0+100}$

$d=\sqrt{100}$

$d=10$

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3 years ago

Gabriela Mistral was a poet, diplomat, teacher and humanitarian. Each week she worked a certain amount of days as a poet diploma

Ipatiy [6.2K]

Answer:

Gabriela Mistral works as a humanitarian for $8$ days.

Step-by-step explanation:

Gabriela Mistral was a poet, diplomat, teacher and humanitarian such that each week she worked a certain amount of days as a poet diplomat teacher and humanitarian.

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2 years ago

Determine what must be multiplied so that the expression below will have a common denominator. Use the backslash / to type in a

Mashutka [201]

Answer:

Multiply the first fraction by $\frac{x+4}{x+4}$

Multiply the second fraction by $\frac{x-4}{x-4}$

Step-by-step explanation:

Given

$\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}$

Required

Make the denominator equal

$\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}$

Factorize the denominator

$\frac{4}{x^2 - 4^2} + \frac{3}{x^2 + 4x + 4x+ 16}$

$\frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)}$

Multiply the first fraction by $\frac{x+4}{x+4}$

Multiply the second fraction by $\frac{x-4}{x-4}$

$\frac{x+4}{x+4} * \frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)} * \frac{x-4}{x-4}$

$\frac{4(x + 4)}{(x - 4)(x + 4)(x + 4)} + \frac{3(x - 4)}{(x+ 4)(x + 4)(x - 4))}$

$\frac{4(x + 4)}{(x^2 - 16)(x + 4)} + \frac{3(x - 4)}{(x^2 - 16)(x + 4))}$

<em>The expression now have the same denominator</em>

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3 years ago