Gavin has a deck that measures 6 feet by
3 feet. He wants to increase each
dimension by equal lengths so that its
area is tripled. By how much should he
increase each dimension?
Answer:
feet

Each dimension should be increased by four times so that the area is tripled and each dimension is equal in length.

What is a quadratic equation?

Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

In mathematics, a dimension is the length or width of an area, region, or space in one direction.

area = length × width

    a = l × w

But, we want to triple than area;

3A = 3 (l × w)

3A = (k × l) (k × w)

k² = 3

k = √3

The new dimensions will be: 6√3 and 3√3

Increased Dimension: 6√3 - 6 and 3√3 - 3

let x is the amount of increase in each side:

(x + 6) (x + 3) = 3(18)

x² + 3x + 6x + 18 = 54

x² + 9x + 18 = 54

x² + 9x - 36 = 0

∵ x = 4

Hence, each dimension should be increased by four times so that the area is tripled and each dimension is equal in length.

To learn more about quadratic equations visit,

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Answer:3

Step-by-step explanation:

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−9

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Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?

A. States had to pay taxes set by Congress and provide soldiers during war time.

B. States had to provide representatives to Congress but soldiers were sent only to state militaries.

C. States sent representatives to Congress and provided soldiers and some officers to protect the country.

D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.

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Find the area of the shape shown below.

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Costliest Natural Disasters in the U.S.
Disaster
Cost (billions)
Hurricane Andrew, 1992
$20.0
Northridge, CA, Earthquake, 1994
$12.5
Hurricane Hugo, 1989
$7.0
Hurricane Betsy, 1965
$6.3
Tropical Storm Allison, 2001
$5.0
Source: Scholastic Kid’s Almanac

a.
A circle graph. Andrew is about 50 percent, Northridge, 20 percent; Hugo, 12 percent; Betsy, 8 percent; Allison, 5 percent.
c.
A circle graph. Andrew is about 35 percent, Northridge, 20 percent; Hugo, 8 percent; Betsy, 6 percent; Allison, 10 percent.
b.
A circle graph. Andrew is about 35 percent, Northridge, 20 percent; Hugo, 10 percent; Betsy, 8 percent; Allison, 5 percent.
d.
A circle graph. Andrew is about 23 percent, Northridge, 23 percent; Hugo, 8 percent; Betsy, 12 percent; Allison, 8 percent.



Please select the best answer from the choices provided


A
B
C
D

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Indicate the answer choice that best completes the statement or answers the question Refer to the table that shows the highway fuel economy of various popular vehicles. Fuel Economy (Miles per Gallon) 48 25 35 34 33 37 32 34 23 30 Determine the mean absolute deviation. Round to the nearest hundredth a. 4.5 miles per gallon 33.5 miles per gallon b. 34 miles per gallon d. 33.1 miles per gallon​