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Aleksandr [31]
2 years ago
5

9x2 - 21x + 4x4 - 9 by 2x - 3​

Mathematics
1 answer:
Alinara [238K]2 years ago
4 0

9514 1404 393

Answer:

  2x^3 +3x^2 +9x +3

Step-by-step explanation:

Polynomial long division works best with the polynomials written in standard form, with appropriate 0 terms added where necessary to account for all of the powers of the variable.

As shown in the "Hints," the quotient terms are the ratio of the leading dividend term and the leading divisor term. The product of the quotient term and divisor is subtracted from the dividend to get the new dividend at each step.

The result of your division is 2x^3 +3x^2 +9x +3.

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a certain state the license plate has two digits, then two letters, and then two digits. How many different license plates are p
xxTIMURxx [149]

Step-by-step explanation:

Choosing 4 digits out of 10 = 10C4 = 210.

Arranging the 4 digits in 4 places = 4!

Total number of ways to arrange digits

= 210 * 4! = 5040.

Choosing 2 letters out of 26 = 26C2 = 325

Arranging the 2 letters in 2 places = 2!

Total number of ways to arrange letters

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Total number of possible license plates

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An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating are
Sphinxa [80]

Answer:

Perimeter: 174.8 m

Area: 1,394 sq m

Step-by-step explanation:

First, the perimeter.

Before we start, let's calculate the circumference of the half-circles at the ends of the field.

The measurement says 2,000 cm, so let's convert it to 20 m for ease.

Circumference of a circle: πd, where d = diameter.. in our case d = 20 m

Circumference of a 20m diameter circle: 20π = 62.8 m

We have 2 half circles... so the perimeter of each half-circle will be: 31.4 m

We also have 800 cm measurement for the "height" of the seating areas... let's convert that in 8 m

We also need to find out the space between the seating area...  We know the whole rectangular pitch is 40 m, then we have to subtract the width of both seating areas (20 and 15 m)... so the space between them is 5m

So, starting with the upper left corner of the rectangular pitch, and working our way clockwise, we encounter the following lengths:

P = 40 + 31.4 + 8 + 10 + 8 + 5 + 8 + 25 + 8 + 31.4 = 174.8 m

The total perimeter is then of 174.8 m

For the area, we need to calculate the area of all forms:

Large rectangular pitch:

LR = 40 x 20 = 800 sq m

The two half circles, form a circle, so A = πr², where r is the radius, which is half the diameter.

AC = π (10)² = 100 π = 314 sq m

Then the seating areas:

SA1 = 25 x 8 = 200 sq m

SA2 = 10 x 8 - 80 sq m

Then, we add up everything:

TA = LR + AC + SA1 + SA2

TA = 800 + 314 + 200 + 80 = 1,394 sq m

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3 years ago
Help me please! This is due today!​
dmitriy555 [2]

Answer:

the question is fillped i can not see the questions

Step-by-step explanation:

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