Answer:
2√3
Step-by-step explanation:
√3x4 = √12 = 2√3
Let x be the yard length, then if <span>the length of the yard is 10 feet more than 2 times the width, the length of the yard is 2x+10. The perimeter is 2 lengths + 2 widths, so P=2x+2(2x+10) .
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Since Sally <span>needs 56 feet of fencing to do the job, P=56 ft. and
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<span>2x+2(2x+10)=56,
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</span><span>2x+4x+20=56,
</span><span>
</span><span>6x=56-20,
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</span><span>6x=36,
</span><span>
</span><span>x=6 ft. and 2x+10=12+10=22 ft.
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</span><span>Answer: The length of the yard is 22 feet</span>
Answer:
27 Marbles
Step-by-step explanation:
Alan first had 5 marbles, and then <em>added</em> 4 to the collection.
5 + 4 = 9
He went to the store and tripled the number of marbles he had.
9 x 3 = 27
Hence, he now has 27 marbles.
Answer:
V = 300x + -70x2 + 4x3
Step-by-step explanation:
Simplifying
V = (20 + -2x)(15 + -2x)(x)
Reorder the terms for easier multiplication:
V = x(20 + -2x)(15 + -2x)
Multiply (20 + -2x) * (15 + -2x)
V = x(20(15 + -2x) + -2x * (15 + -2x))
V = x((15 * 20 + -2x * 20) + -2x * (15 + -2x))
V = x((300 + -40x) + -2x * (15 + -2x))
V = x(300 + -40x + (15 * -2x + -2x * -2x))
V = x(300 + -40x + (-30x + 4x2))
Combine like terms: -40x + -30x = -70x
V = x(300 + -70x + 4x2)
V = (300 * x + -70x * x + 4x2 * x)
V = (300x + -70x2 + 4x3)
Solving
V = 300x + -70x2 + 4x3
Solving for variable 'V'.
Move all terms containing V to the left, all other terms to the right.
Simplifying
V = 300x + -70x2 + 4x3
I think u should check the first one again u made a mistake but the second one is correct if u need any more help ask me