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3 years ago

12

Courtney is building a rectangular wading pool. she wants the area of the bottom to be 54 ft square feet. she also wants the len

gth of the pool to be 3 feet longer than twice the width. what are the dimensions of the pool?

1 answer:

Alex17521 [72]3 years ago

5 0

Answer: Dimensions of the pool will be 4.5 ft × 12 ft.
Your welcome

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The solution of d + s > -3 is d > -7. What is the value of s?

Oksanka [162]

Answer:

The correct answer is that s > 4

Step-by-step explanation:

In order to find this, we can stick the -7 in for d and then solve the equation. This will leave us with a value for s.

d + s > -3

-7 + s > -3

s > 4

4 0

4 years ago

Find the slope of this line: y=2x+7

kramer

Answer:

The slope is 2

Step-by-step explanation:

Y = mx+b y = mx+b is the shape of the slope-intercept where m is the slope.

4 0

4 years ago

Read 2 more answers

What is the value of y for the line that has a slope of 1 and goes through the points (-4, y) and (-2, 8)?

Pavel [41]

Answer:

y = 6

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (-4,y) and (-2,8). Substitute m = 1 and solve for y.

$m = \frac{y_2-y_1}{x_2-x_1}\\\\ 1 = \frac{y-8}{-4--2}\\\\ 1 =\frac{y-8}{-2}\\\\-2=y-8\\\\6=y$

6 0

4 years ago

What is the completely factored from of 9x2+24x+16

dezoksy [38]

Answer:

(3x+4)(3x+4) is factor of given expression.

B is correct.

Step-by-step explanation:

We are given an expression $9x^2+24x+16$

Formula: $a^2+2ab+b^2=(a+b)^2$

First we write each term as perfect square as formula.

$\Rightarrow 9x^2+24x+16$

$\Rightarrow (3x)^2+2\cdot 3x\cdot 4+4^2$

Using formula , a=3x and b=4

$\therefore (3x)^2+2\cdot 3x\cdot 4+4^2=(3x+4)^2$

Now we write same number two times.

Hence, (3x+4)(3x+4) is factor of given expression.

3 0

3 years ago

Express the terms of the following sequence by giving a recursive formula.

emmasim [6.3K]

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Step-by-step explanation:

First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

$a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7$

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

$a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7$

Hence,

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

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4 years ago