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3 years ago

The perimeter of the rectangle is 28 units.

Mathematics

1 answer:

kakasveta [241]3 years ago

8 0

Answer:

5 units

Step-by-step explanation:

P= 2 (l + w) = 2 x (9 + 5) = 28

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Aneli [31]

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3 years ago

. Which of the following is equivalent to 7 - 2(x + 2) < -4 - 3(1 - x)?

andre [41]

Step-by-step explanation:

$7 - 2(x + 2) < -4 - 3(1 - x)$

First, let's distribute the terms outside each parentheses to get rid of them:

$7 - 2x - 4 < -4 - 3 + 3x$

$-2x + 3 < -7 + 3x$

Next, let's move the terms with an $x$ variable to the left side of the equation, and everything else to the right side:

$-2x -3x < -7 - 3$

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4 years ago

F’(x)= 1+3 square root x f(9)=68

notka56 [123]

Answer:

$f(x) = x + 2x^\frac{3}{2} + 5$

Step-by-step explanation:

I'm assuming the question here is asking for f(x)

The first step would be to find the antiderivative of f'(x)

$\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx$

Apply the reverse power rule

$x + 2x^\frac{3}{2} + C$

Now solve for C when x = 9

$x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5$

Now substitute into the antiderivative

$f(x) = x + 2x^\frac{3}{2} + 5$

8 0

3 years ago

Suppose a is jointly proportional to b and c. if a=4 when b=8 and c = 9, then what is a when b=2 and c=18

asambeis [7]

From the given information, a exists jointly proportional to b and c.

then $$a \propto b c$

Therefore, the value of a exists 2.

<h3>What is the value of a?</h3>

Given, a exists jointly proportional to b and c.

$$a \propto b c$

Taking K as the constant of proportionality.

a = K b c

For b = 8 and c = 9, the value of a = 4

4 = K(8)(9)

4 = 72 K

Dividing the equation by 72, we get

$$K=\frac{1}{18}$

Using the value of K in the equation:

$$a=\frac{b c}{18}$

Substitute the values of b = 2 and c = 18, in the above equation

$$a=\frac{2 \times 18}{18} \\$

a = 2

Therefore, the value of a exists 2.

To learn more the value of x refers to:

brainly.com/question/11874663

#SPJ4

6 0

1 year ago