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Fiesta28 [93]
3 years ago
6

Estimate √92 to the nearest integer.

Mathematics
1 answer:
Art [367]3 years ago
7 0

Answer: 10

Step-by-step explanation:

This is because if it was 9, then 9^2 would be 81 and 10^2 would be 100. 81 is 11 numbers a way from 92, while 100 is 8 numbers from 92, making 10 the <u>closest</u> estimate.

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which of these shows the result of using the first equation to substitute for y in the second equation, then combining like term
Furkat [3]

Answer:

C. \Rightarrow \bold{8x = 16}

Step-by-step explanation:

Given the two equations:

y=2x ........ (1)\\ 2x+3y=16.......(2)

To find:

The correct option when value of y is substituted to 2nd equation using the 1st equation.

Solution:

First of all, let us learn about the substitution method.

Substitution method is the method to provide solutions to two variables when we have two equations and two variables.

In substitution method, we find the value of one variable in terms of the other variable and put this value in the other equation.

Now, the other equation becomes only single variable and then we solve for the variable's value.

Here, we have two equations and value of one varible is:

y=2x

Let us put value of y in 2nd equation:

2x+3y=16\\\Rightarrow 2x + 3(2x) = 16\\\Rightarrow 2x + 6x = 16\\\Rightarrow \bold{8x=16}

So, the correct answer is option C. \Rightarrow \bold{8x = 16}

7 0
3 years ago
Given one zero of the polynomial function, find the other zeros.
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

You need to use synthetic division to do all of these.  The thing to remember with these is that when you start off with a certain degree polyomial, what you get on the bottom line after the division is called the depressed polynomial (NOT because it has to math all summer!) because it is a degree lesser than what you started.

a.  3I   1   3   -34   48

I'm going to do this one in its entirety so you get the idea of how to do it, then you'll be able to do it on your own.

First step is to bring down the first number after the bold line, 1.

3I   1    3    -34    48

   _____________

      1

then multiply it by the 3 and put it up under the 3.  Add those together:

3I    1    3    -34    48

           3

----------------------------

      1     6

Now I'm going to multiply the 6 by the 3 after the bold line and add:

3I    1     3     -34     48                                                                                                    

             3      18

_________________

      1      6     -16

Same process, I'm going to multiply the -16 by the 3 after the bold line and add:

3I      1      3      -34      48

                3       18     -48

___________________

        1       6      -16       0

That last zero tells me that x-3 is a factor of that polynomial, AND that the depressed polynomial is one degree lesser and those numbers there under that line represent the leading coefficients of the depressed polynomial:

x^2+6x-16=0

Factoring that depressed polynomial will give you the remaining zeros.  Because this was originally a third degree polynomial, there are 3 zeros as solutions.  Factoring that depressed polynomial gives you the remaining zeros of x = -8 and x = 2

I am assuming that since you are doing synthetic division that you have already learned the quadratic formula.  You could use that or just "regular" factoring would do the trick on all of them.

Do the remaining problems like that one; all of them come out to a 0 as the last "number" under the line.

You got this!        

4 0
3 years ago
1 question. A big square is made up of 4 identical small squares the area of each small square is 25 cm A. Find the length of ea
Bogdan [553]

Answer:

50cm

200cm

50cm^2

Step-by-step explanation:

The big square is divided into 4 with a side length of 25cm. 2 small square side lengths make up the big squares.

25 * 2 =

50cm

50 + 50 + 50 +50 =

200

15 +2

17

8 + 2

10

17 * 10 = 170

15 * 8 = 120

170-120 = 50

50cm^2

5 0
2 years ago
How many are 2 raised to 2 ???​
natta225 [31]

Answer:

Step-by-step explanation: 2 raised to 2 or 2^2  

is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4

7 0
3 years ago
Read 2 more answers
2 intersecting lines creating 90 degree angles are called?
Natali [406]
Right Angle I hope :)

8 0
3 years ago
Read 2 more answers
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