Ask question

Ask question

All categories

3 years ago

15

the volume of a rectangular dog kennel is modeled by the polynomial x3 +14x2 +60+72. If the height of the kennel is modeled by (

x+2) and the length and width are equal to each other, what expression could represent the dog kennel

1 answer:

grandymaker [24]3 years ago

7 0

Answer: I don’t really know

You might be interested in

What is the equation of the line that passes through (-2,3) and is parallel to 2x+3y=6?

Vsevolod [243]

Answer:

<h2>2x + 3y = 5</h2>

Step-by-step explanation:

$\bold{METHOD\ 1:}$

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

Let $k:y=m_1x+b_1,\ l:y=m_2x+b_2$

then

$l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have the equation of a line:

$2x+3y=6$

Convert to the slope-intercept form:

$2x+3y=6$ <em>subtract 2x from both sides</em>

$3y=-2x+6$ <em>divide both sides by 3</em>

$y=-\dfrac{2}{3}x+2\to m_1=-\dfrac{2}{3}$

therefore the slope is $m_2=-\dfrac{2}{3}$

Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{2}{3}(-2)+b$

$3=\dfrac{4}{3}+b$ <em>subtract 4/3 from both sides</em>

$\dfrac{9}{3}-\dfrac{4}{3}=b\to b=\dfrac{5}{3}$

Finally:

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$

Convert to the standard form (Ax + By = C):

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$ <em>multiply both sides by 3</em>

$3y=-2x+5$ <em>add 2x to both sides</em>

$2x+3y=5$

$\bold{METHOD\ 2:}$

Let $k:A_1x+B_1y=C_1,\ l:A_2x+B_2y=C_2$ .

Lines <em>k</em> and <em>l</em> are parallel iff

$A_1=A_2\ \wedge\ B_1=B_2\to\dfrac{A_2}{A_1}=\dfrac{B_2}{B_1}$

We have the equation:

$2x+3y=6\to A_1=2,\ B_1=3$

then the equation of a line parallel to given lines has the equation:

$2x+3y=C$

Put the coordinates of the point (-2, 3) to the equation:

$C=2(-2)+3(3)\\\\C=-4+9\\\\C=5$

Finally:

$2x+3y=5$

4 0

3 years ago

Moya records 6.75 minutes of an interview on one tape and 3.75 minutes of the interview on another tape. How long was the total

Blizzard [7]

The interview was 11.3 minutes.

7 0

3 years ago

Martha is making lemonade. She needs lemon juice, sugar and water. She needs 1 cup of lemon juice and 3 cups of water. Which cup

mixer [17]

Answer:

0.61 ( A )

Step-by-step explanation:

The standard proportion of Sugar, lemon juice and water needed to make a Lemonade is Usually 1 cup each

But If you Intend to make Your lemonade less sweet you can increase the water or reduce the amount of sugar to ≈ 1 ( i.e. less than 1 but approximately = 1 )

Hence The appropriate amount of sugar needed will be = 0.61

6 0

3 years ago

Read 2 more answers

Julie spent 2/3 of an hour running and 5/6 of an hour swimming. How much longer did she swim than run?

aniked [119]

Running = 2/3

Swimming = 5/6

5/6 - 2/3 = 5/6 - 4/6 = 1/6

Answer : She spent 1/6 hour longer swimming than running.

4 0

3 years ago

Read 2 more answers

Theresa finds a shirt on sale at the store. The regular price of the shirt is $32.00. But there is a 20% off sale today. Theresa

telo118 [61]

Answer:

Step-by-step explanation:

Given tgat:

Regular price = $32

Discount = 20%

Sale tax = 8.1%

8 0

3 years ago