If x = 12 cm, what is the volume of the prism?

What are the values of x and y in the matrix equation below?

choli [55]

Answer : value of x and y in the matrix equation is:

x = -3

y = +4, -4

Step-by-step explanation :

The matrix expression is:

$\left[\begin{array}{ccc}x+4\\y^2+1\end{array}\right]+\left[\begin{array}{ccc}-9x\\-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]$

First we have to add left hand side matrix.

$\left[\begin{array}{ccc}(x+4)+(-9x)\\(y^2+1)+(-17)\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]$

Now we have to add left hand side terms.

$\left[\begin{array}{ccc}x+4-9x\\y^2+1-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]$

$\left[\begin{array}{ccc}4-8x\\y^2-16\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]$

Now we have to equating left hand side matrix to right hand matrix, we get:

$\Rightarrow 4-8x=28\text{ and }y^2-16=0\\\\\Rightarrow 8x=4-28\text{ and }y^2=16\\\\\Rightarrow x=-3\text{ and }y=\pm 4$

Therefore, the value of x and y in the matrix equation is -3 and +4, -4 respectively.

5 0

3 years ago

Sharon needs 64 credits to graduate from her community college. So far she has earned 24 credits. What percent of the required c

Roman55 [17]

37.5% of her credits. 24 out of 64, divide and you get your answer. multiply by 100 to get the percentage.

4 0

3 years ago

Read 2 more answers

An Antique Collector want to know the age of a particular chair in a shop Statistical or not statistical

dmitriy555 [2]

Answer:

$\boxed{\bold{Not \ Statistical}}$

Step By Step Explanation:

Statistical: A survey, branch or mathematics consisting of data collection, organization, analysis, interpretation and presentation.

A statistical question deals with social problems, people, or something that must be studied and data gained. Statistical questions must have data sets and data gained. They also must have answers that vary from side to side or opinion to opinion, in order to be qualified as a 'statistical question'.

"<u><em>An Antique Collector wants to know the age or a particular chair in a shop</em></u>"

V

Statistical Not Statistical

$\boxed{\bold{>}}$ This is not a statistical question because there is no data that needs to be collected, no surveys that need to be filled out and no analysis, interpretation and presentation. The answer to this question does not vary. It is simply a fact.

7 0

2 years ago

Simplify (3a^4-2a^2+5-10)-(2a^4+4a^2+5a-2)

katrin [286]

Answer:

Step-by-step explanation:

3a^4 -2a^2 + 5 - 10 -(2a^4 +4a^2 + 5a -2)

as given.. i'm wondering if the 5 in the first group is really 5a.. hmmm

I'm guessing that it is... soooo distribute the minus sign

= 3a^4 - 2a^2 +5a -10 -2a^4 -4a^2 -5a +2

= a^4 -6a^2 -8 :) voila that's your answer

7 0

3 years ago

PLEASE HELP THIS IS DUE TODAY (NO LINKS) (BRAINLIEST) 10 points

masya89 [10]

Answer:

This can't be answered as the data of Tom and Susan's box plots aren't shown.

8 0

2 years ago