Answer:
Each dimension increased by 3 ft.
Step-by-step explanation:
Area of the original rectangle = 4 * 6 = 24 square feet
Increased dimension = x ft
New length = 6 + x
New width = 4 +x
New area = (6 + x)(4 +x) {Use FOIL method}
= 6*4 + 6*x + x*4 + x*x
= 24 + 6x + 4x + x²
= x² + 10x + 24
New area = 24 + 39
x² + 10x + 24 = 63
x² +10x + 24 - 63 = 0
x² + 10x - 39 = 0
x² + 13x - 3x - 3*13 = 0
x (x + 13) - 3(x + 13) = 0
(x + 13)(x -3) = 0 {Ignore x + 13, as it gives negative value}
x - 3 = 0
x = 3
Answer:
dgfh
Step-by-step explanation:
we know that for (x1 , y1) , (x2 , y2) the slope is as below:
α=
so the slope will be (14-8) / (10-(-3))
which equals to 
or 0.461
9514 1404 393
Answer:
5n -3
Step-by-step explanation:
Try n=1 in each expression and see which gives you a first term of 2.
2-5n = 2-5·1 = -3
2n -5 = 2·1 -5 = -3
5n -3 = 5·1 -3 = 2 . . . . . this is the expression you want
5n +2 = 5·1 +2 = 7
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<em>Additional comment</em>
For a common difference of 5, <em>the coefficient of n must be 5</em>. The second answer choice fails on that count also.
The height of the rectangular box whose volume is 27 cubic feet is 3 feet.
Let the height of the rectangualr box be h.
According to the given question.
The measures of the base of a rectangular box = 3 feet × 3 feet
Volume of the rectangular box = 27 cubic feet
As we know that, the volume of any rectangular box is calculated by taking its product of length, width and height.
So, the height of the rectangular box is given by
27 = 3 × 3 × h
⇒ 27 = 9 × h
⇒ 27/9 = h
⇒ h = 3 feet
Hence, the height of the rectangular box is 3 feet.
Find out more information about volume of the rectangular box here:
brainly.com/question/23118276
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