27x³+8y³+18xy²+18x²y
1 answer:
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The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.
<h3>What is an equivalent expression?</h3>The equivalent is the expression that is in different forms but is equal to the same value.
Five-sevenths squared times one-third raised to the power of negative three all raised to the power of negative one.
Convert the sentence into numerical form.
Simplify the expression, then we have
The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.
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The length of the line segment BC is 31.2 units.
<h2>Given that</h2>Triangle ABC is shown.
Angle ABC is a right angle.
An altitude is drawn from point B to point D on side AC to form a right angle.
The length of AD is 5 and the length of BD is 12.
<h3>We have to determine</h3>What is the length of Line segment BC?
<h3>According to the question</h3>The altitude of the triangle is given by;
Where x is DC and y is 5 units.
Then,
The length DC is.
Squaring on both sides
Considering right triangle BDC, use the Pythagorean theorem to find BC:
Hence, the length of the line segment BC is 31.2 units.
To know more about Pythagoras Theorem click the link given below.