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3 years ago

1/3m + L is greater than or equal to 8 solve the inequality for L

Mathematics

1 answer:

hodyreva [135]3 years ago

3 0

Answer:

1/3m+L>8 (TAKE 1/3M to the other side of the inequality)

L is greater than or equal to 8 - 1/3m

Step-by-step explanation:

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Which values of a and b in the exponential function y = a times b^x would result in the following graph

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Answer:

Step-by-step explanation:

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3 years ago

Example:

Aleonysh [2.5K]

Answer:

AB // CD and AD // BC, then ABCD is a parallelogram

Step-by-step explanation:

Step 2: Show AD // BC

A = (-3 , 3) and D = (0 , 0)

Find the slope of AD

$m_{AD}=\frac{0-3}{0--3}=\frac{-3}{3}=-1$

B = (2 , 5) and C = (5 , 2)

$m_{BC}=\frac{2-5}{5-2}=\frac{-3}{3}=-1$

The slope of AD = the slope of BC

So AD // BC because they have the same slope

Step 3:

Each two opposite sides are parallel in quadrilateral ABCD

So the quadrilateral is a parallelogram

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3 years ago

In the recursive formula an = an−1 + 5, the value of the previous term is represented by

den301095 [7]

Step-by-step explanation:

In the recursive formula an = an−1 + 5

$a_n = a_{n-1}+5$

Suppose if a_5 is the nth term then previous term is a_4

To get the previous term we need to subtract 1 from the n

So a_n is the nth term

$a_{n-1}$ is the previous term

Here 5 represents the common difference between two terms

So value of previous term is represented by

$a_{n-1}$

Answer : $a_{n-1}$

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3 years ago

A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct

KatRina [158]

<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

$Perimeter=2(L+\sqrt{100-L^2})$

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

$10=\sqrt{L^2+W^2}$

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

$10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}$

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

$W=\sqrt{100-L^2}$

Now, we know that the Perimeter of a rectangle is given by:

$Perimeter=2(L+W)$

Here we have:

$Perimeter=2(L+\sqrt{100-L^2})$

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3 years ago

One of the giraffes, Bernard, is sick. Last week he weighed 2,490 pounds. This week he weighs 2,312 pounds. If w represents the

victus00 [196]

Answer:

$w+2,312=2,490$

$w=178\ pounds$

Step-by-step explanation:

Let

w ----> the amount of weight lost in pounds

we know that

The amount of weight Bernard lost plus the weight of this week must be equal to the weight of the last week

The linear equation that represent this situation is

$w+2,312=2,490$

solve for w

subtract 2,312 both sides

$w=2,490- 2,312=178\ pounds$

4 0

3 years ago

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