Ask question

Ask question

All categories

geniusboy [140]

3 years ago

12

Steve makes a banner with an area of 8 square feet. On a grid, draw all possible rectangles with an area of 8 square feet and si

des whose lengths are whole feet. Label the lengths of two adjacent sides of each rectangle. Label each rectangle with its perimeter.

2 answers:

Maksim231197 [3]3 years ago

8 0

Answer:

The correct answers are with side lengths 1 feet and 8 feet, the perimeter is 18 feet; and with side lengths 2 feet and 4 feet, the perimeter is 12 feet.

Step-by-step explanation:

The area of a rectangular banner is 8 square feet.

The side lengths of this rectangular banner are whole numbers.

Thus the possible pairs of side lengths that would give 8 when multiplied with each other are (1 , 8) ; (2 , 4).

So the possible side lengths are 1 feet and 8 feet or 2 feet and 4 feet.

The perimeter when the side lengths are 1 feet and 8 feet are 18 feet.

The perimeter when the side lengths are 2 feet and 4 feet are 12 feet.

Sever21 [200]3 years ago

6 0

Answer:

Step-by-step explanation:

Show me how

You might be interested in

How do I factor the following equation in the link? It has been factored, but I need to know the steps.

Vlad [161]

Given

$2x^2-x-3=0$

How to factor

Solution

Step 1

Multiply the first and last costant

$-3\times2x^2=-6x^2$

Step 2

Write out all the pair factors of -6x^2

$\begin{gathered} -6x^2=-6x\text{ and x} \\ -6x^2=-x\text{ and 6x} \\ -6x^2=\text{ -3x and 2x} \\ -6x^2=\text{ -2x and 3x} \end{gathered}$

Step 3

Check for the pair, such that when you add you will get -x

$\begin{gathered} it\text{ is } \\ -3x+2x=-x \\ \therefore-3x,\text{ 2x} \end{gathered}$

Step 4

Replace -x with -3x+2x in the equation

$2x^2-3x+2x-3=0$

Step 5

Put them into brackets Since + is at the center no stress.

$(2x^2-3x)+(2x-3)=0$

Step 6

Factor out what is common in the bracket

$x(2x^{}-3)+1(2x-3)=0$

Step 7

What is in the bracket are the same, pick one

$\therefore(2x-3)(x+1)=0_{}$

7 0

1 year ago

PLEASE HELP ME I DONT UNDERSTAND!!

ella [17]

Step-by-step explanation:

no.1 first write the equation

the write the sum and the product

so the sum will be 8x and the product

will be 15.In the product part look for a no

that when you multiply it by another no

it will give you 15 by when you add it will

become 8.The no.is 5 and 3.you now rewrite the equation x^2+3x+5x+15=0

you now simply the equation x(x+3)+5(x+3)

you take (x+3)and (x+5)=0.

your answer will either be -3or-5 respectively

5 0

3 years ago

If the diver in item 2 leaves the board with an initial upward speed of 2.00 m/s, find the diver's speed when striking the water

Taya2010 [7]

Answer:

$v_f=9.0774m/s$

Step-by-step explanation:

Let's assume

initial velocity =vi

final velocity=vf

initial height =hi

final height =hf

acceleration due to gravity =g

we can use formula

$\frac{1}{2}v_i^2+gh_i= \frac{1}{2}v_f^2+gh_f$

we are given

$v_i=2m/s$

$h_i=2\times 2=4$

$h_f=0$

$g=9.8m/s^2$

now, we can plug values

$\frac{1}{2}(2)^2+(9.8)(4)= \frac{1}{2}v_f^2+(9.8)(0)$

now, we can solve for vf

$\frac{1}{2}(2)^2+(9.8)(4)= \frac{1}{2}v_f^2$

we get

$v_f=9.0774m/s$

4 0

3 years ago

I need help with 1 and 3 the slope is 3/4

PSYCHO15rus [73]

Answer:

3y

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Solve – 6(x – 3) + x + 3 = -9 for x.

soldi70 [24.7K]

Answer:

In this equation, the value of x is equal to 6.

Step-by-step explanation:

We are given an algebraic equation in which we need to solve for x.

We can use several properties and algebraic methods to solve this equation.

$\displaystyle -6(x - 3) + x + 3 = -9$

Firstly, we want to use the distributive property to evaluate the first term in the equation: -6(x - 3).

$-6(x - 3) + x + 3 = -9\\\\-6x + 18 + x + 3 = -9$

By distributing the -6 through, we get -6x and positive 18. Then, we need to begin combining like terms. Let's start with our constants (or the terms without a variable).

$-6x + 18 + x + 3 = -9\\\\18 + 3 = 21\\\\-6x + x + 21 = -9$

Then, we can combine our terms with variables.

$-6x + x + 21 = -9\\\\-6x + x = -5x\\\\-5x + 21 = -9$

Now, we can use the subtraction property of equality which states that if we subtract a term from one side of an equation, we must also subtract it from the opposite side. Therefore, we want to get x by itself, so we can subtract 21 from both sides using the subtraction property of equality to do this.

$-5x + 21 = -9\\\\-5x + 21 - 21 = -9 -21\\\\-5x = -30$

Finally, we can use the division property of equality and divide both sides of the equation by -5 to isolate x.

$\displaystyle -5x = -30\\\\\frac{-5x}{-5} = \frac{-30}{-5}\\\\x = 6$

Therefore, by solving the multi-step equation, we solved that x = 6.

3 0

3 years ago