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3 years ago

4,250 cm equal blank meter

Mathematics

1 answer:

katovenus [111]3 years ago

6 0

Answer:

42.5 meter

Step-by-step explanation:

We know that 100 cm equals 1 m. We need to convert cm to meters

4250 cm * 1m /100cm = 42.5 m

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Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

Alla [95]

Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-\frac{1}{2}$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

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

Operating

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

Simplifying

$\displaystyle y=-\frac{1}{2}x+4$

That is the equation in slope-intercept form. Intercept: y=4

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3 years ago

T-shirts are sold in packages of 4.The store’s 139 employees will each be given 5 t-shirts. How many packages will the store nee

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Answer:

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Step-by-step explanation:

139 x 5 = 695 t-shirts are needed

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Since you have to purchase whole packages of t-shirts you will need to buy 174 packages of t-shirts. 174 x 4 = 696 t-shirts

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