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marissa [1.9K]
3 years ago
8

. (6.03) Which of the following best describes the expression 6(y + 3)? (4 points) The product of two constant factors six and t

hree plus a variable The sum of two constant factors six and three plus a variable The product of a constant factor of six and a factor with the sum of two terms The sum of a constant factor of three and a factor with the product of two terms
Mathematics
1 answer:
kolezko [41]3 years ago
8 0
C. The product of a constant factor of six and a factor with the sum of two terms. In this case, 6 is constant, and the sum of two terms is: y+3. Since they are products, you multiple them. Therefore C would be correct.
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Why is it mathematically legal to multiply 2 √ 2 by √ 2 √ 2 in order to rationalize the denominator?
Gala2k [10]
Well if you're referring to rationalizing \bf \cfrac{2}{\sqrt{2}}, which simply means, getting rid of the pesky radical at the bottom

well, it boils down to, hmm say... a quantity or even a polynomial, multiplied times 1, is itself, 2*1=2, 3*1 = 3, ducks*1 = ducks, spaghetti * 1 = spaghetti

or whatever * 1 = whatever
and the value of the multiplicand, doesn't change in anyway, is the same thing before and after the multiplication by 1

now....1 can also be a fraction  \bf \cfrac{2}{2}=1\qquad \cfrac{3}{3}=1\qquad \cfrac{1,000,000}{1,000,000}=1
\\\\\\
\cfrac{ducks}{ducks}=1\qquad \cfrac{spaghetti}{spaghetti}=1\qquad \cfrac{cheese}{cheese}=1
\\\\\\
\cfrac{\textit{the quick fox jumped}}{\textit{the quick fox jumped}}=1\qquad \cfrac{whatever}{whatever}=1

so.. when you're doing \bf \cfrac{2}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\iff \cfrac{2}{\sqrt{2}}\cdot1

and the value multiplicand doesn't change in any way

now, try this in your calculator  \bf \cfrac{2}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{2\sqrt{2}}{\sqrt{2^2}}\implies \cfrac{2\sqrt{2}}{2}\implies \sqrt{2}\\\\
-----------------------------\\\\
\textit{check how much is }\cfrac{2}{\sqrt{2}}\textit{ in your calculator}
\\\\\\
\textit{then check how much is }\sqrt{2}\textit{ in it}
6 0
3 years ago
Ben walked 2/5 mile.Tonya walked 1/4 mile.What fraction of a mile did they walk in total?
sesenic [268]

First, find a common denominator (the bottom number) Then add the tops as usual. Four and five have a common denominator of 20 so: 8/20+5/20=13/20



4 0
4 years ago
Read 2 more answers
Help please I need help
serg [7]
He could use the mode of 89.
6 0
3 years ago
What is the equation of the line perpendicular to 6x-2y=3
andriy [413]

An answer to this would be y=- 1 over 3 x

3 0
3 years ago
Find x. Perimeter.<br><br> What is the value of x?<br><br> What is the perimeter of this triangle?
gladu [14]

Step-by-step explanation:

the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.

and that applies to all 3 vertexes.

so, we know for the top left vertex the distance to both touching points is 4.

that means the distance to the touching points from the bottom left vertex is 7-4 = 3.

and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.

so, x = 13

it is the distance to one of the touching points for the bottom right vertex.

and the perimeter of the triangle is therefore

7 + 16 + (13 + 4) = 40

7 0
2 years ago
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