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Dvinal [7]
3 years ago
9

The width of a rectangle is 8 inches shorter than its length. The perimeter of the rectangle is 18 inches. What are the length a

nd width? Which equation models this problem? A. 8 • l = 18 – 8 B. 2l + 2(l – 8) = 18 C. l + (8 + 2l) = 18 D. l(l – 8) = 18
Mathematics
1 answer:
VashaNatasha [74]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Let length be l

Width, w=l-8

Perimeter = 2(l+w) = 2l+2w

2l+2(l-8)=18

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Ln (x-2) +ln (2x-3)=2ln x
goblinko [34]
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D:x\ \textgreater \ 2\\\\
\ln (x-2) +\ln (2x-3)=2\ln x \\
\ln (x-2)(2x-3)=\ln x^2\\
(x-2)(2x-3)=x^2\\
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x^2-7x+6=0\\
x^2-x-6x+6=0\\
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4 0
3 years ago
Simplify an expression for the area of a rectangle with side lengths 12 and (5/6x+23).
lesantik [10]

Answer:

10x+23 (pretty sure) and the * means multiply

Step-by-step explanation:

12*(5\6x+23)\\12*5/6x\\12/1*5/6x\\60/6x\\10x+23

4 0
3 years ago
suppose you have $11000 to invest. which of the two rates would yield the larger amount in 5 years: 6% compounded monthly or 5.8
umka21 [38]

Answer:

  6% monthly

Step-by-step explanation:

The monthly rate being compounded when the interest is 6% per year is ...

  6%/12 = 0.5%

so the multiplier each month is

  1 + 0.5% = 1.005

___

The monthly multiplier when 5.86% is compounded continuously is ...

  e^(5.86%/12) ≈ 1.004895

The 6% rate will give a larger yield after any length of time.

6 0
3 years ago
What is the equation of a line that has a slope of −12 and a y-intercept of 3? Express your answer in slope-intercept form.
Elena L [17]

If given the slope and y-intercept, you can directly get the slope intercept form as

y = -12x + 3

6 0
3 years ago
Solving systems of linear inequalities
PIT_PIT [208]

Answer:

YES. (2, 7) is a solution of the system.

Step-by-step explanation:

System of linear inequalities has been given as,

y ≥ -x + 1 --------(1)

y < 4x + 2 ------(2)

If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.

By substituting the coordinates of point (2, 7) in inequality (1),

7 ≥ -2 + 1

7 ≥ -1

True.

By substituting the coordinates of point (2, 7) in inequality (2),

7 < 4(2) + 1

7 < 9

True.

Therefore, point (2, 7) lie in the solution area of system of inequalities.

YES. (2, 7) is a solution of the system.

4 0
3 years ago
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