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3 years ago

7

Emil's backpack weighs 6 3/8 pounds. He removes a book that weighs 3/4 pounds. Then he removed a book that weighs 1/2 pound. How

much Emil's backpack weigh now? in the simplest form

1 answer:

Alex_Xolod [135]3 years ago

6 0

Answer:

2.5625

Step-by-step explanation:

So 6 3/8- 1/2 -3/4= 5.125 5.125 divided 2 = 2.5625

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Which equation represents a line that passes through (2,-1/2) and has a slope of 3 ?

Anna11 [10]

Answer:

C. $y + \frac{1}{2} = 3(x - 2)$

Step-by-step explanation:

Given

$Point: (2,\frac{-1}{2})$

$Slope: 3$

Required

Equation of line

Let m represents the slope of the line;

m is calculated as thus

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

$where (x_1,y_1) = (2,\frac{-1}{2})$

$So; x_1 = 2; y_1 = \frac{-1}{2}$

$m = 3$

By substituting the right values in the formula above;

$m = \frac{y - y_1}{x - x_1}$ becomes

$3 = \frac{y - \frac{-1}{2}}{x - 2}$

Multiply both sides by $(x - 2)$

$3 *(x - 2) = \frac{y - \frac{-1}{2}}{x - 2} *(x - 2)$

$3 *(x - 2) = (y - \frac{-1}{2})$

$3 *(x - 2) = (y + \frac{1}{2})$

$3(x - 2) = (y + \frac{1}{2})$

$3(x - 2) = y + \frac{1}{2}$

Reorder

$y + \frac{1}{2} = 3(x - 2)$

Hence, the equation that represents the line is $y + \frac{1}{2} = 3(x - 2)$

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4 years ago

Start with the standard formula for the area of a triangle, and rewrite it to solve for the base, b.

solong [7]

Answer:

2A/h = b

Step-by-step explanation:

The formula for area of a triangle is

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Multiply each side by 2

2A = 2*1/2 bh

2A = bh

Divide each side by h

2A/h = bh/h

2A/h = b

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