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4 years ago

What is -13 = v/10 - 12

Mathematics

2 answers:

Free_Kalibri [48]4 years ago

6 0

Answer:

-10 =v

Step-by-step explanation:

-13 = v/10 - 12

Add 12 to each side

-13+12 = v/10 - 12+12

-1 = v/10

Multiply each side by 10

-1*10 = v/10 *10

-10 =v

Lisa [10]4 years ago

6 0

Add 12 to both sides

-13 + 12 = v/10

Simplify -13 + 12 to -1

-1 = v/10

Multiply both sides by 10

-1 × 10 = v

Simplify -1 × 10 to -10

-10 = v

Switch sides

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4 years ago

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A right rectanular prism has a length of 2 a width of 4 and a height of 5. How many unit cubes can fit in the prism

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Step-by-step explanation:

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2 years ago

Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through

stiks02 [169]

Answer:

$x + 2y= 2$

Step-by-step explanation:

Given

Points:

$F = (4,9)$

$G = (1,3)$

Required

Determine the equation of line that is perpendicular to the given points and that pass through $(2,0)$

First, we need to determine the slope, m of FG

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

Where

$F = (4,9)$ --- $(x_1,y_1)$

$G = (1,3)$ --- $(x_2,y_2)$

$m = \frac{3 - 9}{1 - 4}$

$m = \frac{- 6}{- 3}$

$m =2$

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

$m_2 = -\frac{1}{m}$

$m_2 = -\frac{1}{2}$

The equation of the line is then calculated as:

$y - y_1 = m_2(x - x_1)$

Where

$m_2 = -\frac{1}{2}$

$(x_1,y_1) = (2,0)$

$y - 0 = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}x + 1$

Multiply through by 2

$2y = -x + 2$

Add x to both sides

$x + 2y= -x +x+ 2$

$x + 2y= 2$

Hence, the line of the equation is $x + 2y= 2$

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