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3 years ago

Number sequence write the correct number in between to complete the number sequence.

Mathematics

1 answer:

Alborosie3 years ago

8 0

Answer:

1. 15, 13

2. 12, 6

3. 130,135

4. 44, 41

5. 42, 52

Step-by-step explanation:

1. the answer is 15,13 because the sequence goes with minus 2

2. the answer is 12,6 because the sequence goes with divided by 2

3. the answer is 130,135 because the sequence goes with plus 5

4. the answer is 44, 41 because the sequence goes with minus 3

5. the answer is 42,52 because the sequence goes with plus 10

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Im not sure how to solve this please help

Effectus [21]

Look at the corresponding angle to 82, which is to the left of line b

It also measures 82 according to "corresponding angle theorem"

Then
angle x is equal to it as they are vertical pair of angle

so that, the measure of x equals 82 degree

I hope that helps

5 0

3 years ago

(X^2+x-6)(2x^2+4x) factor completely

MissTica

Answer:

$2x\left(x-2\right)\left(x+3\right)\left(x+2\right)$

Step-by-step explanation:

Lets go ahead and take a step by step approach to solving your problem.

First we must start by factoring $x^2+x-6$ .

To do this, we must break the expression into groups! Although I will also provide a definition to help you understand! For $ax^2+bx+c$ we need to find u, v > $u\cdot \:v=a\cdot \:c$ and $u+v=b$ which we will group into $\left(ax^2+ux\right)+\left(vx+c\right)$ .

The values we have are... $a=1,\:b=1,\:c=-6$ and $u\cdot v=-6,\:u+v=1$ .

Now we need the factors of 6 which are 1, 2, 3 and 6. We also need the negative factors which you get simply by multiplying the positives by -1 or just reversing them.

Now we need to check for every two factors if u + v = 1.

$\mathrm{Check}\:u=1,\:v=-6: \:u\cdot v=-6,\:u+v=-5 \Rightarrow \mathrm{False}$

$\mathrm{Check}\:u=2,\:v=-3: \:u\cdot v=-6,\:u+v=-1 \Rightarrow \mathrm{False}$

$\mathrm{Check}\:u=3,\:v=-2: \:u\cdot v=-6,\:u+v=1 \Rightarrow \mathrm{True}$

$\mathrm{Check}\:u=6,\:v=-1: \:u\cdot v=-6,\:u+v=5 \Rightarrow \mathrm{False}$

Therefore $u=3,\:v=-2$ .

Now we want to $\mathrm{Group\:into\:}\left(ax^2+ux\right)+\left(vx+c\right)$ . Which is $\left(x^2-2x\right)+\left(3x-6\right)$ .

Now we must factor x from $x^2-2x$ .

Lets apply the exponent rule of $a^{b+c}=a^ba^c$ which means $x^2=xx$ .

Therefore we now have xx - 2x. Lets factor out the common term of x to get x(x - 2).

Now factor 3 out of $3x-6$ .

Rewrite 6 as 3 * 2. $3x-3\cdot \:2$ .

Now factor out the common term of 3 > $3\left(x-2\right)$ .

$x\left(x-2\right)+3\left(x-2\right)$ > Factor out the common term of x - 2 > $\left(x-2\right)\left(x+3\right)$ .

Now lets factor $2x^2+4x$ .

Apply the previous exponent rule of $a^{b+c}=a^ba^c$ > $x^2=xx$ > $2xx+4x$ .

Now rewrite 4 as 2 * 2 > $2xx+2\cdot \:2x$ .

Now factor out the common term of 2x to get 2x(x + 2).

Combine it all and we get $2x\left(x-2\right)\left(x+3\right)\left(x+2\right)$ .

Hope this helps!

7 0

3 years ago

Alecia builds a box in the shape of a cube with an open top. She plans to paint the box. Alecia calculates that there are 256 sq

STALIN [3.7K]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the options to select the required condition from were not listed. So, I will answer on general terms

From the question, we understand that the cube has an open-top and the surface ares is 256 in^2

Let L represents the edge length, the surface area (S) is:

$S = 5L^2$

Substitute 256 for S

$256 = 5L^2$

Divide both sides by 5

$51.2 = L^2$

Take square roots of both sides:

$\sqrt{51.2} = L$

$7.155= L$

$L=7.16in$ ---- approximated

The volume of the cube is:

$Volume = L^3$

$Volume = \sqrt{51.2}^3$

$Volume = 366.3573$

$Volume = 366.36in^3$

<em>So, the edge length of the cube is 7.16 inches and the volume is 366.36 cubic inches</em>

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6 0

3 years ago

Read 2 more answers

What is the minimum value for h(x)=x2−16x+60?

iogann1982 [59]

Minimum value is equal to x=8, y=-4
First find the derivative of the original equation which equals= d/dx(x^2-16x+60) = 2x - 16
at x=8, f'(x), the derivative of x equals zero, so therefore, at point x = 8, we have a minimum value.
Just plug in 8 to the original equation to find the answer for the minimum value.

3 0

4 years ago

Directions: Write <> or = between each pair of rational numbers

rodikova [14]

Answer:

-2 5/12 > -2 3/4

-92 < -15/16

Step-by-step explanation:

8 0

4 years ago

Number sequence write the correct number in between to complete the number sequence.​

Number sequence write the correct number in between to complete the number sequence.