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andre [41]
3 years ago
8

Multiple the polynomials (3x^2+4x+4) (2x-4)

Mathematics
2 answers:
tekilochka [14]3 years ago
8 0

━━━━━━━☆☆━━━━━━━

▹ Answer

6x³ - 4x² - 8x - 16

▹ Step-by-Step Explanation

(3x² + 4x + 4) (2x - 4)

<u>Distribute</u>

3x²(2x - 4) + 4x(2x - 4) + 4(2x - 4)

<u>Remove parentheses</u>

6x³ - 12x² + 4x(2x - 4) + 4(2x - 4)

<u>Collect like terms</u>

6x³ - 12x² + 8x² - 16x + 8x - 16

6x³ - 4x² - 16x + 8x - 16

<u>Solve</u>

6x³ - 4x² - 8x - 16

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

natali 33 [55]3 years ago
4 0

Answer:

6x³ - 4x² - 8x - 16

Step-by-step explanation:

Step 1: Distribute the 2x

6x³ + 8x² + 8x

Step 2: Distribute the -4

-12x² - 16x - 16

Step 3: Combine the 2 distributions

6x³ + 8x² + 8x - 12x² - 16x - 16

Step 4: Combine like terms

6x³

8x² - 12x² = -4x²

8x - 16x = -8x

-16

Step 5: Rewrite

6x³ - 4x² - 8x - 16

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Explanation: 42 - 18 = 24
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7 0
3 years ago
If AB = 8, and OX = 3 and is the perpendicular bisector of AB, which is the length of the diameter of this circle?
Sladkaya [172]

Answer:

  C.  5

Step-by-step explanation:

OXA is a 3-4-5 right triangle, so the circle radius is OA = 5.

_____

By the Pythagorean theorem,

  AO² = OX² +AX² = 3² +4² = 9 +16 = 25

  AO = √25 = 5 . . . . circle radius

_____

<em>Comment on Pythagorean triples</em>

The triple of integers (3, 4, 5) is the smallest triple of integers that satisfies the relation of the Pythagorean theorem. The next smallest set is (5, 12, 13). These, and a few other similar triples such as (7, 24, 25) and (8, 15, 17) are often used in algebra and geometry problems because they make the numbers work out nicely. It is worthwhile to learn to recognize these.

7 0
3 years ago
Find the x-intercept and the y-intercept of the following equation:<br> 4x - 6 y = 12
Dafna1 [17]
The answer is:
X int- 4
Y int- -12

Explanation:
You must subtract 12 from both sides
4x-6y-12=0

Add -6y to both sides

4x-12=y

Plus into y=mx+b

Y=4x-12

Hope this was helpful
6 0
3 years ago
What is 2 49/100 as a decimal number?
Alchen [17]
2 49/100 in decimal form is 2.49 because a decimal in the one hundredths would be like this: 0.09 or 0.49, and the two is a whole number, so it would go before the decimal like this: 2.09 or 2.49.

Hope this helped:):)
4 0
3 years ago
What is the area of the following polygon?
muminat

The area of the polygon is 25.5 square units

<h3>How to determine the area of the polygon?</h3>

From the figure, we have the following coordinates

A = (-2, 1)

B = (3, 2)

C = (5, -3)

D = (-1, -3)

The area of the polygon is then calculated as:

A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|

Substitute the known values in the above equation

Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3  - 5 * 2) + (5 * -3  + 1 * -3) + (-1 * 1 + 2 * -3)|

Evaluate the sum of products

Area = 0.5 * |-51|

Remove the absolute bracket

Area = 0.5 * 51

Evaluate the product

Area = 25.5

Hence, the area of the polygon is 25.5 square units

Read more about areas at:

brainly.com/question/25292087

#SPJ1

6 0
2 years ago
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