All categories

3 years ago

What is 2(2x+1) equivalent to

Mathematics

2 answers:

Nostrana [21]3 years ago

6 0

2(2x+1)= (2 x 2x) + (2 x 1) = 4x + 2

Lostsunrise [7]3 years ago

3 0

So first you factor the equation out. you would get 4x + 2 since the 2 is factored to both the 2x and the 1. The answer to that is 4x +2. The final answer is 4x + 2 because you just wrote 2(2x+1) differently

You might be interested in

Find area of the shaded region.

Monica [59]

Answer:

The area of the shaded region is about 38.1 square centimeters.

Step-by-step explanation:

We want to find the area of the shaded region.

To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.

The given circle has a radius of 6 cm.

And the given sector has a central angle of 150°.

The area for a sector is given by the formula:

$\displaystyle A=\pi r^2\cdot \frac{\theta}{360^\circ}$

In this case, r = 6 and θ = 150°. Hence, the area of the sector is:

$\displaystyle \begin{aligned}A&=\pi(6)^2\cdot \frac{150}{360}\\ &=36\pi\cdot \frac{5}{12}\\&=3\pi \cdot 5\\&=15\pi \text{ cm}^2\end{aligned}$

Now, we can find the area of the triangle. We can use an alternative formula:

$\displaystyle A=\frac{1}{2}ab\sin(C)$

Where a and b are the side lengths, and C is the angle between them.

Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.

And the angle C is 150°. Hence, the area of the triangle is:

$\displaystyle A=\frac{1}{2}(6)(6)\sin(150)=18\sin(150)$

The area of the shaded region is equivalent to the sector minus the triangle:

$A_{\text{shaded}}=A_{\text{sector}}-A_{\text{triangle}}$

Therefore:

$A_{\text{shaded}}=15\pi -18\sin(150)$

Use a calculator:

$A_{\text{shaded}}=38.1238...\approx 38.1\text{ cm}^2$

The area of the shaded region is about 38.1 square centimeters.

6 0

3 years ago

(8.4x + 2.9) + (-3.7x + 5).

konstantin123 [22]

Answer:

Step-by-step explanation:

4 0

4 years ago

Add 5x+4y;3x-7y;-4x+8y

viktelen [127]

The answer is 4x + 5y.

Here, what needs to be done is to combine like terms.

5x + 4y + 3x - 7y - 4x + 8y
5x + 3x - 4x + 4y + 8y - 7y
4x + 5y

4 0

2 years ago

Find the unit rate. Round to the nearest hundredth, if necessary.

Trava [24]

Answer:

$17.22 per foot

Step-by-step explanation:

To find the unit rate, divide the amount of money by the amount of feet. This will give you how much money per one foot.

310/18= 17.22222

4 0

3 years ago

Read 2 more answers

In a certain lottery, you must select 5 numbers (in any order) out of 26 correctly to win. a. How many ways can 5 numbers be

Step2247 [10]

Answer:

a. 7893600

$b.\ \dfrac{1}{26}$

Step-by-step explanation:

Given that there are 26 numbers out of which 5 numbers are to be chosen.

Here repetition is not allowed.

For each of the 5 cases, the total number of possibilities will keep on decreasing by 1.

1st case, number of possibilities = 26

2nd case, number of possibilities = 25

3rd case, number of possibilities = 24

4th case, number of possibilities = 23

5th case, number of possibilities = 22

a. Total number of possibilities = 26 $\times$ 25 $\times$ 24 $\times$ 23 $\times$ 22 = <em>7893600</em>

b. Probability of winning by choosing one number:

Formula for probability of an event E can be observed as: $P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Number of favorable cases = 1

Total number of cases = 26

So, required probability:

$P(E) = \dfrac{1}{26}$

So, the answers are:

a. 7893600

$b.\ \dfrac{1}{26}$

5 0

3 years ago