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marin [14]
3 years ago
15

What are the factors of 9t^2+12t+4

Mathematics
1 answer:
yarga [219]3 years ago
4 0

Answer: (3t-2)^2

Step-by-step explanation:

Well, multiply 9 and 4 together to get 36.

Now what factors of 36 add to 12? Well, 6 and 6, so let's rewrite this:

9t^2-6t-6t+4

Now group factor what you can:

3t(3t-2)-2(3t-2)

Now 3t and -2 both share the common factor of (3t-2) so you can rewrite it as:

(3t-2)(3t-2) which is:

(3t-2)^2.

Hope that makes sense or helps!

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An electrician bent a section of copper wire into a partial circle as shown. The dimensions are
ira [324]

Answer:

Length = 3.84 feets (nearest hundredth)

Step-by-step explanation:

The length of section of wire can be obtyaiejd using the length of of a arc formular :

Length of arc = θ/360° * 2πr

Radius, r = 2.5 feets

Length of arc = (88/360) *2πr

Length of arc = (88/360) * 2π*2.5

Length of arc = 0.244444 * 15.707963

Length of arc = 3.8397

Length = 3.84 feets (nearest hundredth)

7 0
2 years ago
A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed
irakobra [83]

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

  • B = boat's speed
  • R = river's speed.

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R  = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

If you want to learn more, you can read:

brainly.com/question/12895249

5 0
2 years ago
Please answer this correctly
Mrrafil [7]
Gary swam the fewest laps.
Hope this helps!
3 0
3 years ago
Read 2 more answers
Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.
Olin [163]

Answer:

WORDS: The value of x is 15.

EQUATION: x = 15

Step-by-step explanation:

1. AB is a straight line therefore angles AOF, FOG, and GOB total 180º

2. If ∠FOG = 90º, AOF + GOB = 90º by subtraction & substitution property

3. 5x - 15 + 2x = 90 (now solve) --> by substitution

4. 7x - 15 = 90 --> by C.L.T. or <u>C</u>ombine <u>L</u>ike <u>T</u>erms

5. 7x = 105 --> by C.L.T. or <u>C</u>ombine <u>L</u>ike <u>T</u>erms

6. x = 15 --> by inverse operations (division)

Hope this helps!

8 0
2 years ago
Sumi lives 2 miles from school. valerie lives 10,542 feet from school. who lives closer to school ?
nasty-shy [4]
Sumi because 10452 feets are 1.997 miles
5 0
3 years ago
Read 2 more answers
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