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xz_007 [3.2K]
3 years ago
10

The area of the trapezoid is 660 sq cm. Given the sides of 26 cm each and bases of 42 cm and 24 cm, find the height of the trape

zoid.
Mathematics
1 answer:
adell [148]3 years ago
3 0
Hand sham. Your answer is the number below
7392.3
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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
Which of the following statements is true only if triangles EFI and GFH are similar?
Cerrena [4.2K]

Answer:

C.

Lines EI and HG are parallel

plz like and vote 5 star if answer is correct, if not still do it as it might help someone somehow

5 0
3 years ago
Read 2 more answers
Wt is the relationship between zeros and coefficients ?
GenaCL600 [577]

Answer:

Insert non-suspicious whistling

4 0
3 years ago
The population of a small town in Ohio was 3,800 people in I. It has slowly been decreasing at a rate of 25% per year. What will
MrRa [10]

Answer:

676 assuming the population is 3800 in 2019. If it's a different year then change t.

Step-by-step explanation:

P(t) = P_{0} (1+r)^t \\\\P(6) = 3800(1-.25)^6 \\=P(6) = 3800(.75)^6\\=676


3 0
2 years ago
A circle has a diameter of 12 inches. What is the area of the circle? А 367 inches squared B 247 inches squared C 127 inches squ
Ann [662]

Answer:

113.1

Step-by-step explanation:

A = πr²

A = π (6)²

A = π (36)

A = 113.09 = 113.1

8 0
2 years ago
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