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gizmo_the_mogwai [7]
3 years ago
11

What is the answer to the question

Mathematics
1 answer:
Simora [160]3 years ago
3 0
One side: y+4
Second side: y+4+2=y+6
Third side: 2(y+4)-3= 2y+8-3= 2y-5
Perimeter = y+4+y+6+2y-5= 4y+5
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What are the quotient and remainder of (x^5-x^3+-5) divided by (x-2)
pishuonlain [190]

Answer:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

Step-by-step explanation:

You can do this through synthetic division. It is a shorthand way of dividing polynomials.

First you need to make your divisor equal to zero so you can solve for what goes into the division box:

x - 2 = 0 →     x = 2

The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.

x⁵ - x³ + (-5)   →  x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)

Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

Next you bring down the first coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

        +1    

Then you multiply it by the divisor and write the product under the next coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>           +2                                   </u>

        +1    

Next add the column and put the sum below it:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2                                   </u>

        +1    +2

Then multiply again and repeat until you reach the last coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2    +4   +6   +12   +24 </u>

        +1    +2    +3   +6   +12    +19

Now that you have your results, add  in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :

+1x⁴    +2x³    +3x²   +6x   +12   +19

Now the last coefficient is your remainder. So your results will be:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

7 0
3 years ago
Read 2 more answers
What is this? Please answer with an explanation
Pie

Answer:

5

Step-by-step explanation:

1. in order to calculate all the required values, it needed to solve:

\sqrt{x-5} \geq 0; \  \ x\geq 5.

2. x≥5 means, that x∈[5;+∞), where beginnig is '5'.

3 0
3 years ago
Find the critical value zα/2 that corresponds to a 98% confidence level.
SVETLANKA909090 [29]

A critical value is the point on the scale of the test statistic (z test in this case) outside which we reject the null hypothesis, and is taken from the level of significance of the test. The critical values can be obtained from the standard distribution tables for z and for this case, it is equivalent to:

critical value zα/2 at 98% confidence level = 2.326

Answer: 2.326

<span> </span>

4 0
3 years ago
Question 2
Helen [10]

Answer:

The square root of 60

7 0
3 years ago
Read 2 more answers
I DONT UNDERSTAND HELP <br> Find the values of the variables<br><br> (Simplify your answers )
SVETLANKA909090 [29]

Answer:

x=88 (alternative angles)

y=31 each

v=41 (alternative angles)

w=20 (alternative angles)

Step-by-step explanation:

for y:

we add all the angles got therefore,

20+41+88+y+20+41+88+y=360(because total angle in a quadilateral is 360°)

298+2y=360

2y=360-298

2y=62

therefore y=62/2=31° for each y

4 0
3 years ago
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