Answer:
Step-by-step explanation:
The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.
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<h3>Given relation</h3>
Let x represent the width of the shed. Then the length is (2x+3), and the area is ...
A = LW
20 = (2x+3)(x) . . . . . area of the shed
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<h3>Solution</h3>
Completing the square gives ...
2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides
2(x +0.75)² = 21.125 . . . . . . . write as a square
x +0.75 = √10.5625 . . . . . divide by 2, take the square root
x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution
The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.
Answer:
Step-by-step explanation:
cost of 25 kg =262.50x25
=6562.5
Answer:
-1/35
Step-by-step explanation:
* means multiply
because of pemdas you should do three multiplication parts first
(1/4×2/5)+(-1/6×3/2)+(3/7×2/5)
1/20 - 3/12 + 6/35
3/60 - 15/60 + 6/35
-12/60 + 6/35
-1/5 + 6/35
-7/35 + 6/35
-1/35
First you would need to combine like terms. do you know how to do that?
Answer:
<h3>A. ( x - 2 )( x - 3 )(x + 4 )</h3>
<h3>
Step-by-step explanation:</h3>
<h3>x³ - x² - 14x + 24</h3>
<h3>1. Use the rational root theorem</h3>
<h3>2.
</h3><h3 />
= ( x - 2 )( x² + x - 12 )
<h3>3. Factor x² + x - 12 : ( x -3 )( x + 4)</h3>
= ( x - 2 )( x - 3 )(x + 4 )
<h3>Solution : </h3>
<h3>= ( x - 2 )( x - 3 )(x + 4 )</h3>
