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2 years ago

Simplify: 5mn – 8mn + 13mn

Mathematics

1 answer:

AfilCa [17]2 years ago

5 0

Answer:

10mn

Step-by-step explanation:

$5mn - 8mn + 13mn = 10mn$

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Step-by-step explanation:

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2 years ago

Find the equation of the lines perpendicular and parallel to 2x-3y=8 line through the point (-2,-4)

marysya [2.9K]

Answer:

y= -1.5x-7 is the equation of the perpendicular line

Here's why:

when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to

nika2105 [10]

Answer:

-1/4x + 3/2

Step-by-step explanation:

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2 years ago

There are 3 3/4 pounds of bricks in a bag. Each brick weighs 5/8 of a pound. How many bricks are in the bag.

Bess [88]

Answer: There are 6 bricks in the bag.

Step-by-step explanation:

Convert from mixed number to decimal number. To do it, divide the numerator of the fraction by the denominator and add the result to the whole number part. Then:

$3\frac{3}{4}\ lb=(3+0.75)\ lb=3.75\ lb$

Convert from fraction to decimal number. To do it you need to divide the numerator by the denominator. Then, you get:

$\frac{5}{8}lb=0.625\ lb$

Let be "x" the number of bricks in the bag<em>.</em>

<em> </em>Based on the information given in the exercise, you can set up the following proportion:

$\frac{1}{0.625}=\frac{x}{3.75}$

Finally, you must solve for "x" in order to find its value. This is:

$(3.75)(\frac{1}{0.625})=x\\\\x=6$

8 0

3 years ago