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Pachacha [2.7K]
3 years ago
9

Simplify: 3x – 5 + 23x – 9 a. 2(14x -6) b. 3x(13x-6) c. 2(13x -7) d. 3x(13x - 5)

Mathematics
2 answers:
IceJOKER [234]3 years ago
6 0

<em>Answer : </em>

C

<em>Step-by-step explanation:</em>

  • (a+b)(a-b) = a² - b²  
  • a( b + c) = ab + ac
  • a (b - c) = ab - ac
  • a( b + c) + d( b + c) = (a + d) (b + c)

<em>3x – 5 + 23x – 9</em> = 26x - 14

2 . 13x = 26x

2. -7 = -14

2 ( 13x -7) <em><u>so answer is C</u></em>

<em><u>or another way :</u></em>

<em>a. 2(14x -6)  = </em>28x - 12

<em>b. 3x(13x-6)  = </em>39x² - 18x

<em>c. 2(13x -7)  = </em>26x - 14

<em>d. 3x(13x - 5) = </em>39x² -15x

so answer is C

Hope this helps ^-^

Vilka [71]3 years ago
4 0

Step-by-step explanation:

3x-5+23x-9

26x-5-9=26x-14

2(13x-7)

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Answer:

RADIUS

==================================

PROBLEM

Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?

SOLUTION

We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.

\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr

\tt{226.08 = 2(3.14) r}226.08=2(3.14)r

'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.

\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}

C=2πr

226.08=2(3.14)r

6.28

226.08

=

6.28

6.28r

C=36

To check:

\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}

circumference

C=2πr

C=2(3.14)(36cm)

C=2(113.04cm)

C=226.08cm

FINAL ANSWER

If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.

\boxed{ \tt \red{r = 36}}

r=36

==================================

#CarryOnLearning

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