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aivan3 [116]
2 years ago
5

The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24 mete

rs. What is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary.
Mathematics
2 answers:
Ulleksa [173]2 years ago
5 0

Answer:

5 meters

Step-by-step explanation:

If the perimeter of the rectangle on the right is 24 m, and the length is 8, the width has to be 4, since 8+4+8+4=24. Since the scale factor is 24÷30=0.8 or 4/5, and the width of the rectangle on the right is 4, 4÷0.8=5, which is the width of the rectangle on the left.

Hope this helps! (P.S. I got it right on Edgenutiy, spelled wrong on purpose).

Temka [501]2 years ago
4 0

Answer:

<h3>The width of the original rectangle on the left is <em><u>5meters</u></em></h3>

Step-by-step explanation

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4 0
3 years ago
the amount of money in a bank account can be represented by the equation a(m)=30m+180, where A(m) is measured in dollars and m i
Pavlova-9 [17]
<h2>It represents that , the amount of money in the bank account is $1680 after 50 months.</h2>

Step-by-step explanation:

Given , the amount of money in a bank account can be represented by the equation A(m) = 30m +180, where A(m) is measured in dollar and m is measured in month.

When A(m) = 1680

1680 = 30m +180

⇔30m = 1680 -180

⇔30m = 1500

⇔m= \frac{1500}{30}

⇔ m = 50

It represents that , the amount of money in the bank account is $1680 after 50 months.

5 0
3 years ago
Which graph is defined by f(x) = |x2 − x − 2|? A. graph A B. graph B C. graph C D. graph D
Sloan [31]

Answer:

Step-by-step explanation:

When the question comes with answer choices, please share them.   In this case it sounds like there were four graphs from which to choose.

f(x) = |x^2 − x − 2| is always zero or greater, due to the absolute value function.

x^2 − x − 2 = 0 factors to (x - 2)(x + 1) = 0, so the zeros of f(x) are {-1, 2}.

Plot x-intercepts {-1, 2}.  The axis of symmetry is the vertical line x = 1/2, which is precisely halfway between the x-intercepts.  If we now choose the test number x = 0, we find the value of f(0) to be |-2}, which tells us that the y-intercept is (0, |-2|), or (0, 2), so we have a parabolic curve opening down between x = -1 and x = 2 and touching (but not crossing) the x-axis at those x-values. To the left of x = -1 the curve increases steadily from y = 0 in Quadrant II; to the right of x = 2, the curve increases steadily from y = 0 in Quadrant I.

8 0
3 years ago
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Write the slope e-intercept from of the equation of the line through the given point with the given slope. Please show your work
Zinaida [17]
The slope-intercept form is written under the form of
y=mx+b where m represent the slope and y represent y-intercept. In this case, we know that the m is 8, but we don't have b yet. To find the answer, substitute (0,5) into an equation where y=5 and x=0
y=mx+b
y=8x+b
5=8(0)+b
5=b, so we have the complete y-intercept form which is y=8x+b
Or
You can you this
y-y1=m(x-x1) where point (x1,y1) represent point (0,5) in this case which led to:
y-y1=m(x-x1)
y-5=8(x-0)
y-5=8x-8(0)
y-5=8x
Add 5 to each side
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baherus [9]

Answer:

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1 year ago
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