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3 years ago

The rectangle room is 2 times as long as it wide and its perimeter is 30 meters. Find the dimensions of the room.

1 answer:

4 0

Answer:
l = 10 m
w = 5 m

Steps:
Set equations:
l = 2w
30 = 2l + 2w

Substitute 2w with l in second equation to find l:
30 = 2l + 2w
30 = 2l + l
10 = l

Plug in 10 into first equation to find w:
l = 2w
10 = 2w
5 = w

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Find the slope of the lines. Are the 2 lines parallel or perpendicular? Explain how you can use the slope of two lines to tell i

rewona [7]

Answer:

slope = $\frac{3}{7}$ and - $\frac{7}{3}$ , perpendicular

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = $\frac{3}{7}$ x + 11 is in this form with m = $\frac{3}{7}$

Rearrange 7x + 3y = 13 into this form

subtract 7x from both sides

3y = - 7x + 13 ( divide all terms by 3 )

y = - $\frac{7}{3}$ x + $\frac{13}{3}$ ← in slope- intercept form

with m = - $\frac{7}{3}$

• Parallel lines have equal slopes

• The product of perpendicular slopes = - 1

The lines are not parallel since slopes are not equal

$\frac{3}{7}$ × - $\frac{7}{3}$ = - 1

Hence lines are perpendicular

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3 years ago

Which order does it go?

gladu [14]

Subtract 4 from each side
Divide both sides by 5
Take square root of both sides
Add 3 to both sides

4 0

3 years ago

Solve the equation for X.<br> 23 = 5x – 2<br> 12 5122<br> 25:9<br> esday

Snezhnost [94]

X is 5. Hope this helps:)

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3 years ago

Martha has $180. She needs a total of $2,000 to start investing in stocks. She earns $60 per day working, of which she saves $50

DIA [1.3K]

So she earns $60 per day working, but only saves $50. To solve this equation you have to multiply $50 to each day she works. If the total has to be exactly $2,000 then you must multiply 50 x 36.4 and that equals $2,000.
Your answer should be 36.4 days.

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3 years ago

Andrea ordered a computer on the internet The computer cost $1500, and the tax was

anastassius [24]

Answer:

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Step-by-step explanation:

1500 x7.5% = 112.5

112.5 +1500 = 1612.5

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3 years ago

Read 2 more answers