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hoa [83]
3 years ago
14

What is 3x2 + 21x + 18 in factored form?

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Given

3x² + 21x + 18 ← factor out 3 from each term

= 3(x² + 7x + 6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 7)

The factors are + 6 and + 1, since

6 × 1 = 6 and 6 + 1 = 7, thus

x² + 7x + 6 = (x + 6)(x + 1)

Thus

3x² + 21x + 18 = 3(x + 6)(x + 1) → B

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What is the answer to sketch , draw and construct a segment congruent to RS?
ankoles [38]
In geometry, "construct" means do it with a straightedge (not a ruler) and compass.

Here's how you do it:

1. Using the straightedge, draw a line clearly longer than segment RS.

2. Place a dot at one end of the line you drew.

3. Stick the "center" of your compass in the R position of the RS segment.

4. Open the compass so the pencil point passes through the S position. Your compass now marks off segment RS.

5. Without opening or closing the compass, pick it up and stick the center into the dot you made on your new line.

6. Still without opening or closing the compass, make a hash mark that crosses your new line.

7. Place a dot where the hash mark crosses the line. The segment on the new line between the two dots is a segment congruent to RS.

Notice that you didn't use a ruler to measure anything. This is called a "construction" in geometry. It's what the ancient Greeks used to do.
4 0
4 years ago
The graph of r = -3 + 5cos(theta) is symmetric about the __________.
bonufazy [111]

Answer: B

Step-by-step explanation:

X axis only

5 0
3 years ago
Read 2 more answers
Sue has a picture that is 7 1/2 inches across and 8 inches long. She wants to put a border that is 1 1/4 around the picture. Wha
Hitman42 [59]
Find the perimeter of a picture first.

width = 7 1/2 = 15/2 in

length = 8 in

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p = 2(15/2) + 2(8)

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p = 31 in

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6 0
3 years ago
Larry has 9 yards of fabric. He will use 2 yards to make each vest. How many vests
elena-14-01-66 [18.8K]

Answer:

4 vests

Step-by-step explanation:

Larry has 9 yards of fabric, in which 2 are needed to make a vest.

Divide 9 with 2: 9/2 = 4.5

However, note that you cannot have half a vest, so you must round down.

4.5 becomes 4.

4 vests is the maximum Larry can make with 9 yards of fabric.

~

8 0
3 years ago
Read 2 more answers
Please help me with this question :)<br>​
zlopas [31]

Answer:

q>27/61

Step-by-step explanation:

                                                 50*q+43-(>11*q+70)>0

Step 1. Divied both sides by 61    q-(27/61)

Step 2. Add 27/61 to both sides   q >27/61

Step 3. Inequality  plot for 61.000q -27.000 > 0    

Answer: q>27/61 or 27/61

8 0
3 years ago
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