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2 years ago

4(a+2)=14-2(3-2a)

Mathematics

1 answer:

mylen [45]2 years ago

6 0

Answer:

All real numbers

Step-by-step explanation:

There is 3 possible solutions to a linear equation:

One solution -a unique x value that makes the equation true
No solution - a false statement is given after solving without a value for x
Infinite solution - a true statement is given after solving without a value for x

Solve using inverse operations:

4(a+2)=14-2(3-2a)

4a+8=14-6+4a

4a-4a+8=8+4a-4a

8=8

Is 8=8? Yes. Therefore this is a true statement with no value for x. Infinite solutions or all real numbers.

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Is the<br> statement (-1)n = -1 true for any positive integer n? Explain.

Rashid [163]

Answer:

it has to equal -1 x= to -1 parenthesees

1 times -1= -1 its true for that 1 answer but not the others

7 0

3 years ago

I don't know how to do anything. I basically need help with everything

lutik1710 [3]

Okay,

Radius, is half of the diameter.
Diameter, is the line that splits the circle in half.

1). R=50 D=100
2). R=10 D=20
3). R=5 D=10
4). R=29 D=58
5). R=11 D=22
6). R=31.5 D=63
7). R=45 D=90
8). R=7 D=14
9). R=49 D=98

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3 years ago

Read 2 more answers

Mama dbdjd d did f dbjdbf ddbdnd

Blizzard [7]

Answer:

ah yes mama

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Please asap<br>for 10 points!

kari74 [83]

<h3>Given:</h3><h3>Large cone:</h3>

r= 8 cm
h= 20 cm

<h3>Small cone:</h3>

r= 4 cm
h= 10cm

r: radius
h: height

The volume of the frustum of the given cone.

<h3>Solution:</h3>

Frustum is a part of a cone formed by cutting off the top by a parallel plane.

$\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}$

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

$V= \frac{1}{3}×\pi×{4}^{2}×10$

$V= 167.5516082 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V= 167.55 \: {cm}^{3}}$

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

$V= \frac{1}{3}×\pi×{8}^{2}×20$

$V= 1340.412866 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V=1340.41 \: {cm}^{3}}$

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

$V= 1340.41-167.55$

$\large\boxed{V= 1172.86 \: {cm}^{3}}$

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>

8 0

1 year ago

The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa

bagirrra123 [75]

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3
                     <span>x2 - 12x</span> + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-12)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-12)
             Which is the desired factorization

Final result :<span> (x + 3) • (x - 12)</span>

8 0

3 years ago