Answer:
Multiply the sum of the length and width by two.
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The distance formula is:
We can plug in the given coordinates into the equation:
Answer: x² - 5x - 14
Step-by-step explanation: Start with the formula for the area of a rectangle.
Area = length x width
To multiply these two binomials, let's use the F.O.I.L. method.
The product of the first terms is x².
The product of the outer terms is -7x.
The product of the inner terms is 2x.
The product of the last terms is -14.
So we have x² - 7x + 2x - 14 which simplifies to x² - 5x - 14.
You did a simple mistake by forgetting to add 4 to itself in the square root. (-4^2=16)
x=(4 +/- sqrt(16-8))/4
x=(4 +/- sqrt(8))/4
Is this enough to get you started again?
<span>1) Expression given: 20a+15ab+24b
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2) Greates common factor GFC:
i) Coefficients:
20 = 2² × 5 × 1
15 = 3 × 5 × 1
24 = 2³ × 8 × 1
GCF = common numbers raised to the lower power = 1.
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ii) Letters:
a
ab
b
Since, none letter is in the three terms, then there is not common letter as GFC.
iii) Conclusion the GCF is 1.
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3) Let's see every option of the list:
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</span><span>
</span><span>i) The factors common to 20a and 15ab are 1, 5, a, and b.
</span>
FALSE: becasue b is not in 20a.
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ii) The factors common to 20a and 15ab are 1, 5, and a.
</span>
TRUE: 1, 5, and a are in contained in both terms.
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</span><span>iii) The factors common to 15ab and 24b are 1, 3, a, and b.
</span>
FALSE: a is not in 24b
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iv) The factors common to 15ab and 24b are 1, 3, and b.
</span>
TRUE: 1, 3, and b are contained in both terms.
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v) The factors common to 20a and 24b are 1, 2, 4, a, and b.
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FALSE: a is not in 24b and b is not in 20a.
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</span><span>vi) The factors common to 20a and 24b are 1, 2, and 4.
</span>
TRUE: 1, 2, and 4 are contained in both terms.
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vii) The GCF of the expression is ab.
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FALSE: as seen above ab is not a common factor.
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viii) The GCF of the expression is 1
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TRUE: it was proved above.
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