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enyata [817]
3 years ago
7

Use the distributive properties to create an equivalent expression 9x+21

Mathematics
1 answer:
marishachu [46]3 years ago
3 0

3(3x +7)

find the greatest common factor of both numbers

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A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. The trip back took 14 hours. Find the speed of
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Downstream 280mi/7 hours
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40mi/hr
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5 0
3 years ago
Factorise 9w² - 100<br><br><br>​
ohaa [14]

Answer:

9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10).

Step-by-step explanation:

Fact:

\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}.

In other words, (a^{2} - b^{2}), the difference of two squares in the form a^{2} and b^{2}, could be factorized into (a - b)\, (a + b).

In this question, the expression (9\, w^{2} - 100) is the difference between two terms: 9\, w^{2} and 100.

  • 9\, w^{2} is the square of 3\, w. That is: (3\, w)^{2} = 9\, w^{2}.
  • On the other hand, 10^{2} = 100.

Hence:

9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}.

Apply the fact that a^{2} - b^{2} = (a - b) \, (a + b) to factorize this expression. (In this case, a = 3\, w whereas b = 10.)

\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}.

8 0
3 years ago
Determine whether the statement is true or false. If it is true, explain why.
Over [174]
True.

Since y^4 \geq 0, y' = -1 - y^4 \ \textless \  0 and the solutions are decreasing functions.
8 0
3 years ago
What is the volume of a rectangular prism with the dimensions: base 7 2 cm, height 3 2 cm, and length 9 2 cm?
noname [10]

Answer:

Step-by-step explanation:

first do 72times2,32times2,92times2,  then add them all

5 0
3 years ago
All the factors of 21
ycow [4]
The factors of 21 are 1, 3, 7, and 21
3 0
3 years ago
Read 2 more answers
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