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3 years ago

Distribute (2m-5m)(-5)

Mathematics

1 answer:

Reika [66]3 years ago

6 0

First Method (Distributive Property)

(2m - 5m) (-5)

Rearrange the equation to make it easier.

(-5) (2m - 5m)

In distributive property, it's all about multiplying. The -5 goes to the 2m and the 5m. Like this: (-5 • 2m) - (-5 • 5m).

-10m + 25m

15m

Second Method

(2m - 5m) (-5)

Since 2m and 5m have the same variable, we can subtract them.

(-3m) (-5)

Multiply.

15m

15m is your answer. I hope this helps!

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A new library, L, is to be built at some point along a straight road, R, such that its distance from train station, T, is the sh

andreyandreev [35.5K]

Answer:

Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

y = x - 80 - - - (1)

For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.

Thus, slope of T is -1/1 = - 1

Thus, using line - slope intercept of y = mx + c, we can find equation of T as;

140 = -1(80) + c

140 = -80 + c

c = 140 + 80

c = 220

Thus, equation is;

y = -x + 220 - - - (eq 2)

Adding equation 1 to equation 2,we have;

y + y = 220 - 80

2y = 140

y = 140/2

y = 70

Putting 70 for y in eq 1 gives;

70 = x - 80

x = 70 + 80

x = 150

Thus;

Coordinate of the new library is (150, 70)

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3 years ago

Nissan Appliances bought two dozen camcorders at a total cost of $3,816. The markup on the camcorders is 25% of the selling pric

Lerok [7]

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3 years ago

Read 2 more answers

Solve the system of equations by substitution. 3/8x + 1/3y = 17/24

VashaNatasha [74]

Answer:

this question is not complete. need another equation

Step-by-step explanation:

give another equation then I can solve

$\frac{3}{8} x = \frac{17}{24} - \frac{1}{3} y \\ x = \frac{17}{9} - \frac{8}{9} y$