All categories

2 years ago

Please help me with this and please show me a step by step

Mathematics

1 answer:

nadya68 [22]2 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

The width w is 4 feet longer than two times the length , then

w = 2l + 4

The area (A) of the rectangle is length × width , then

A = l(2l + 4) ← distribute parenthesis

A = 2l² + 4l

Given A = 16

2l² + 4l = 16

Subtract 16 from both sides

2l² + 4l - 16 = 0 ( divide through by 2 )

l² + 2l - 8 = 0 ← in standard form

(l + 4)(l - 2) = 0 ← in factored form

Equate each factor to zero and solve for l

l + 4 = 0 ⇒ l = - 4

l - 2 = 0 ⇒ l = 2

However l > 0 then l = 2

and w = 2l + 4 = 2(2) + 4 = 4 + 4 = 8

The length of the rectangle is 2 feet and

the width is 8 feet

You might be interested in

Find the volume of a cone with a radius of 12 units and a height of 6<br> units.

svlad2 [7]

The volume is 905.32 i believe

12(12)=144, 144(3.14)=452.16, 452.16(6)=2712.96, 2712.96/3=904.32

7 0

2 years ago

Write the fraction that names each part. Write a fraction in worlds and in number to name the shaded part.

Afina-wow [57]

Idk this answer because no triangles are shaded.

5 0

3 years ago

A meteorologist is monitoring the atmospheric pressure as his height above sea level varies. The meteorologist determines that t

Burka [1]

Answer:

The function $p(n)$ is represented by $p(n) = 103\cdot (0.88)^{n}$ .

Step-by-step explanation:

Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:

$p(n) = p_{o}\cdot r^{n}$ (Eq. 1)

Where:

$p_{o}$ - Atmospheric pressure at sea level, measured in kilopascals.

$r$ -Atmospheric pressure decrease rate, dimensionless.

$n$ - Height above sea level, measured in kilometers.

$p(n)$ - Current pressure, measured in kilopascals.

If we know that $p_{o} = 103\,kPa$ and $r = 0.88$ , the function $p(n)$ is represented by:

$p(n) = 103\cdot (0.88)^{n}$

4 0

3 years ago

A Converse Statement is when you turn the statement into a double negative?

Misha Larkins [42]

Answer:

False

Step-by-step explanation:

This is because there is no such thing! A double negative becomes a positive! Plz give brainliest!

3 0

2 years ago

Read 2 more answers

A clothing store is raising the price of all it’s sweaters by three dollars right now expression that could be used to find the

S_A_V [24]

D+3=N
N=amount of new price

7 0

2 years ago