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3 years ago

Please, multiply the following Algebric sum......... 3ab+2bc, 5bc

Mathematics

1 answer:

ohaa [14]3 years ago

3 0

Answer: The required product of two given algebraic expressions =15abc +10b²c²

Step-by-step explanation:

Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc

i.e. The required product = (3a+2bc) x (5bc)

= 3a x 5bc + 2bc x 5bc [Using right distributive property: (a+b)c= ac+bc]

= (3x 5) abc + (2 x 5) (bc)²

= 15abc +10b²c²

Therefore, the required product of two given algebraic expressions = 15abc +10b²c²

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3 years ago

The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve

AfilCa [17]

Answer:

The original length of each side of the equilateral triangle = x =15 inches

Step-by-step explanation:

Let Original length of side of equilateral triangle = x

If it is increased by 5 inches, the length will become = x+5

Since in equilateral triangle all the ides have same length so,

New Length of side 1 = x+5

New of side 2 = x+5

New Length of side 3 = x+5

Perimeter of triangle = 60 inches

We need to find the value of x

The formula used is: $Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3$

Putting values in formula and finding x

$Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15$

So, the original length of each side of the equilateral triangle = x =15 inches

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3 years ago

In July 2005 the United States imported approximately 10.3 million barrels of oil per day. Canada supplied about 16% of the impo

8_murik_8 [283]

Answer:

Step-by-step explanation:

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3 years ago

the larger angle of two complementary angles is four times as large of the smaller angle find the measurement of the smaller ang

taurus [48]

The answer is: 18° .
__________________________________________________
Explanation:
________________________________
x + 4x = 90 ; solve for "x"
____________________________
5x = 90 ;
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Divide EACH SIDE of the equation by "5"; to isolate "x" on one side of the equation; and to solve for "x" ;
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5x / 5 = 90 / 5 ;
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x = 18 ; The answer is: 18° .
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3 years ago

What must be true in order for a term x – a to be a factor of a polynomial f(x)?

gladu [14]

Answer:

Option B will be the correct one.

Step-by-step explanation:

The factor of a polynomial, y = f(x) is obtained by making f(c) = 0 and then solving the equation f(c) = 0 for c and then from the obtained value of c we say (x - c) is a factor of the polynomial y = f(x).

Now, on the reverse, the term (x - a) will be a factor of a polynomial, y = f(x), if and only if f(a) = 0.

Therefore, option B will be the correct one. (Answer)

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3 years ago