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Troyanec [42]
3 years ago
6

(3x + 3)(2x + 6) =

Mathematics
1 answer:
horrorfan [7]3 years ago
7 0

Step-by-step explanation:

step 1. use Foil to multiply the polynomials.

step 2. (3x + 3)(2x + 6) = 6x^2 + 18x + 6x + 18 = 6x^2 + 24x + 18.

step 3. (2x + 1)(x - 2) = 2x^2 - 4x + x - 2 = 2x^2 - 3x - 2.

step 4. (x - 3)(x + 4) = x^2 + 4x - 3x - 12 = x^2 + x - 12.

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The four points (−2, 5), (−2, −1), (6, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this
crimeas [40]
Look at the picture.

The polygon is a right-angled trapezoid.

The area is:
A=\frac{a+b}{2} \times h

The points (-2,-1) and (6,-1) lie on the same horizontal line, so the distance between them is 6-(-2)=6+2=8. The length of a is 8 units.
The points (-2,5) and (3,5) lie on the same horizontal line, so the distance between them is 3-(-2)=3+2=5. The length of b is 5 units.
The points (-2,5) and (-2,-1) lie on the same vertical line, so the distance between them is 5-(-1)=5+1=6. The length of h is 6 units.

A=\frac{8+5}{2} \times 6=\frac{13}{2} \times 6=13 \times 3=39

The area is 39 square units.

5 0
3 years ago
Read 2 more answers
A firm manufactured 1000 Tv sets during its first yeae the total firns production during 10 years of operation is 29035 sets If
Alexus [3.1K]

Answer: the increase each year is 423 tv sets

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 10 years

a = 1000

S10 = 29035

We want to determine d which is the amount by which the production increased each year. Therefore, the sum of the first 10 years would be

29035 = 10/2[2 × 1000 + (10 - 1)d]

29035 = 5[2000 + 9d]

29035/5 = [2000 + 9d]

9d = 5807 - 2000 = 3807

d = 3807/9 = 423

3 0
3 years ago
Find the area of each figure. Round your answers to the nearest hundredth 7-10​
stira [4]

Answer:

7. 648

8. 759.88

9. 193.52

10. 148.92

5 0
3 years ago
Read 2 more answers
A bicycle wheel has a circumference of 75 inches. What is the approximate radius of the wheel?
riadik2000 [5.3K]

Answer:

23.87

Step-by-step explanation:

4 0
3 years ago
Brainliestttt UsaTestPrep
lianna [129]

The answer to this question is:

36π cm³

your welcome.

Please brainliest

6 0
3 years ago
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