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saw5 [17]
3 years ago
6

Sienna is solving the quadratic equation by completing the square.

Mathematics
2 answers:
VladimirAG [237]3 years ago
6 0

Answer:  The correct option is (C) 3.

Step-by-step explanation: Given that Sienna is solving the quadratic equation by completing the square as follows:

3x2+9x-4=0\\\\\Rightarrow 3x^2+9x=4\\\\\Rightarrow a(x^2+3x)=4.

We are given to find the find the value of a.

We can see that in the second step of Sienna's solution, 3 is common in both the terms, 3x2 and 9x.

So, she took 3 out and then in the third step, the expression within the bracket remais x^2+3x.

Therefore, the complete steps are as follows:

3x2+9x-4=0\\\\\Rightarrow 3x^2+9x=4\\\\\Rightarrow 3(x^2+3x)=4.

Hence, the value of a is 3.

Thus, (C) is the correct option.

kari74 [83]3 years ago
4 0
3x^2 + 9x - 4
3x^2 + 9x = 4
3(x^2 + 3x) = 4

Therefore, a = 3
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Alyn drives 20.4 miles in 17 minutes.
Galina-37 [17]

Answer:

  • 12 mph

Step-by-step explanation:

<em>Speed = distance/time</em>

  • Distance = 20.4 miles
  • Time = 17 minutes = 17*1/60 hours = 17/60 hours

<u>Speed is:</u>

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<u>Alyn exceeded the limit by:</u>

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3 years ago
Leena knits 10 rows in 12 min. At this pace, how long will it take her to knit the next 25 rows?
tatiyna
For 10 rows, she takes = 12 min.
So, for 1 row, she'll take = 12/10 

Now, for 15 rows, it would be: 12/10 * 25 = 12/2 * 5 = 60/2 = 30

So, Your Final Answer would be 30 minutes

Hope this helps!
7 0
3 years ago
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In ∆RST, which side is included between ∠R and ∠S?
Lera25 [3.4K]
Hi there!

Since triangle RST is stated with the sides in order (R is connected to S, which is connected to T, which is then connected to R), the side between R and S is T. 

Hope this helps!
3 0
3 years ago
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What is the slope of the line that passes through the points (-2, 3)(−2,3) and (-14, -5) ?(−14,−5)? Write your answer in simples
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7 0
3 years ago
Find the interquartile range for a data set having the five-number summary: 3.5, 10.4, 16, 21.7, 27.7
vlabodo [156]

Answer: 17.75

Step-by-step explanation:

The interquartile range(IQR) is the 3rd quartile - the 1st quartile.

How to get quartiles:

First get the median:

3.5, 10.4, 16, 21.7, 27.7

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Then find the median of the first half of data(3.5, 10.4)

(3.5+10.4)/2 = 6.95

Then find the median of the last half of data(21.7, 27.7)

(21.7+27.7)/2 = 24.7

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