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3 years ago

What is -7 to the second power

Mathematics

2 answers:

Paha777 [63]3 years ago

8 0

Answer:

+49

Step-by-step explanation:

-7 x -7 = +49 because the negatives cancel out, resulting in a positive

valkas [14]3 years ago

3 0

Answer:

Step-by-step explanation:

-7 multiplied by -7 would be 49

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Which binomial is a factor of 49x^2+84xy+36y^2

sweet-ann [11.9K]

7x + 6y is a binomial that is a factor of given equation

Solution:

A binomial is a mathematical expression which has only two terms

Given expression is:

$49x^2 + 84xy + 36y^2$

We have to find the binomial that is a factor to given expression

Let us find the factors of given equation

$49x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}49x^2+84xy+36y^2\mathrm{\:as\:}\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\mathrm{Rewrite\:}49\mathrm{\:as\:}7^2\\\\7^2x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\7^2x^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\7^2x^2=\left(7x\right)^2\\\\Therefore,\\\\\left(7x\right)^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\6^2y^2=\left(6y\right)^2\\\\$

$Therefore\\\\\left(7x\right)^2+84xy+\left(6y\right)^2\\\\\mathrm{Rewrite\:}84xy\mathrm{\:as\:}2\cdot \:7x\cdot \:6y\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=7x,\:b=6y\\\\Therefore,\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2 = \left(7x+6y\right)^2$

Thus we get,

$49x^2 + 84xy + 36y^2 = (7x+6y)^2\\\\49x^2 + 84xy + 36y^2 = (7x+6y)(7x+6y)$

Thus the binomial which is a factor is 7x + 6y

6 0

3 years ago

If bookshelf A is 6 feet long and bookshelf B is 8 feet long, what is the length of bookshelf C?

Sliva [168]

Answer:

3.5 feet = 3 feet 6 inches

3 * 12 = 36

36 + 6 = 42 inches long

42 / 5/8 → 42 * 8/5 = 42*8/5

336 / 5 = 67.2

We can't put up part of a book, so we can fit 67 books.

Step-by-step explanation:

3 0

2 years ago

Solve for x. A) 3.0 B) 3.25 C) 3.5 D) 3.75

IceJOKER [234]

Answer: D) 3.75

Step-by-step explanation:

According to the Insersecting chords theorem, when you multiply the lengths of the segments of one of the chords in a circle, the product obtained is equal to the product of the segments of the other chord.

Based on this, you can find the value of "x" with:

$(5)(3)=(4)(x)\\15=4x$