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3 years ago

The length of a rectangle is 9 inches more than the width. The perimeter is 38 inches. Find the length and the width (in inches)

Mathematics

1 answer:

andrew11 [14]3 years ago

7 0

Answer:12

Step-by-step explanation:

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5 miles = 8km how many km in 40 miles

bagirrra123 [75]

5 miles....... 8km
40 miles..... x km

x:8= 40:5•8= 64

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3 years ago

Write an explicit formula for the An, and the n^th term of the sequence 24,-12,6,....

Annette [7]

Answer:

$T_n = -48* (-\frac{1}{2})^{n}$

Step-by-step explanation:

Given

$24, -12, 6,...$

Required

Write a formula

The above sequence shows a geometric sequence because:

$r = \frac{-12}{24} = \frac{6}{-12} = -\frac{1}{2}$ -- common ratio

The equation is determined using:

$T_n = ar^{n-1}$

Where

$a = 24$

Substitute values for a and r

$T_n = 24* (-\frac{1}{2})^{n-1}$

Apply law of indices:

$T_n = 24* (-\frac{1}{2})^{n} * (-\frac{1}{2})^{-1}$

$T_n = 24* (-\frac{1}{2})^{n} * 1/(-\frac{1}{2})$

$T_n = 24* (-\frac{1}{2})^{n} * 1*-2$

$T_n = 1*-2*24* (-\frac{1}{2})^{n}$

$T_n = -48* (-\frac{1}{2})^{n}$

<em>The above represents the explicit formula</em>

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3 years ago

The slope, M, of the line through the distinct points (x, y) and (y2,y1) is given by the formula m =

rjkz [21]

Answer:

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

It is wise to remember this formula. It is one of the most important formulas in Algebra and is fundamental in higher level math courses.

We use this formula to determine the slope, or the average rate of change between 2 points.

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Answer:

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Step-by-step explanation:

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