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mixer [17]
3 years ago
5

The polygons in each pair are similar.Find the missing side length

Mathematics
2 answers:
Nina [5.8K]3 years ago
8 0
Divide the bottom number on the right triangle by 6 to get your answer
tatuchka [14]3 years ago
6 0
I am gonna assume the answer is 8.If not another 4 i wish you could see the whole picture
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For the functions f(x) = x^2+ 8x + 2 and g(x) = -5+9, find (f•g)(x)and (f.g)(-1).
Ne4ueva [31]

Answer:  (f·g)(x) = -5x³ - 31x² + 62x + 18

               (f·g)(-1) = -70

(fog)(x) = 25x² - 130x + 155

(fog)(-1) = 310

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

f(x) = x² + 8x + 2          g(x) = -5x + 9

(f·g)(x) = (x² + 8x + 2)(-5x + 9)

          = -5x³ + 9x²

                    - 40x² + 72x

            <u>                    - 10x + 18</u>

          = -5x³ - 31x² + 62x + 18

(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18

         =  -5(-1)  - 31(1)    - 62      + 18

         =    5     -   31      - 62      + 18

         =  -70

****************************************************************************************

(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2

           = 25x² - 90x + 81

                       - 40x + 72

              <u>                   +   2</u>

           = 25x² - 130x + 155

(fog)(-1) = 25(-1)² - 130(-1) + 155

            =   25    +  130    + 155

            = 310

<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>

6 0
3 years ago
SOMEONE PLEASE HELP!<br>Set up an inequality showing that the radicand cannot be negative.
Stolb23 [73]

Answer:

3t-9 >= 0

Step-by-step explanation:

Original function f(t)= square root 3t-9

There cannot be a negative in the radicand therefore 3t-9 cannot equal a negative number.  

6 0
3 years ago
Read 2 more answers
The rectangular prism shown has a volume of 10 cubic centimeters, = 1 cm3 Choose all the rectangular prisms that also have a vol
SOVA2 [1]

Answer:

B and C

Step-by-step explanation:

We are given a rectangular prism that consists of 10 cubes. Each cube = 1 cm³. The volume of rectangular prism given = 10cm³.

Let's find out which of the options has same volume (10cm³) as that of the given rectangular prism.

Option A has 15 cubes = 15 cm³ in volume

Option B has 10 cubes = 10 cm³ in volume

Option C has 10 cubes also = 10 cm³ in volume

Option D has 12 cubes = 12 cm³

The rectangular prisms that have the same volume (10 cm³) with the given rectangular prism are option B and C.

4 0
2 years ago
4.48 Same observation, difference sample size: Suppose you conduct a hypothesis test based on a sample where the sample size is
Lemur [1.5K]

Answer:

P-value is lesser in the case when n = 500.

Step-by-step explanation:

The formula for z-test statistic can be written as

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } } =\frac{(x-\mu)\sqrt{n}}{\sigma}

here, μ = mean

σ= standard deviation, n= sample size, x= variable.

From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.

We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.

Now, for  first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore,  the P-value will be lesser in the case when n = 500.

6 0
2 years ago
Ya'll how do I graph this? I haven't graphed anything in 3 years
Artyom0805 [142]

Answer:

I hope you get it .............

4 0
2 years ago
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