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3 years ago

Solve for a. 6(a+3)=18+6a

2 answers:

7 0

6(a+3) = 18 + 6a
Distrubute the 3 to the a and the 3.

6a + 18 = 18 + 6a
- 6a - 6a
----------------------------
18 = 18
True

Answer: All Real Numbers

saveliy_v [14]3 years ago

3 0

Answer:

All real #'s

Because i just did this and got it right.

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2x + 2y = 4 -x+ 2y = 4

Reptile [31]

Answer:

x = 0, y = 2

Step-by-step explanation:

We can use substitution method to substitute 2y into 2x + 2y = 4.

-x + 2y = 4

2y = 4 + x --- Equation 1

2x + 2y = 4 --- Equation 2

Substitute Equation 1 into Equation 2:

2x + 2y = 4

2x + 4 + x = 4

3x + 4 = 4

Isolate 3x.

3x = 4-4

= 0

Find x.

x = 0 ÷ 3

x = 0

Substitute x = 0 into Equation 1:

2y = 4 + x

2y = 4 + 0

= 4

Find y.

y = 4 ÷ 2

y = 2

5 0

3 years ago

Read 2 more answers

Please answer ASAP

labwork [276]

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

A 12 cm cone with a dome on top of it that has an 8 cm diameter

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cone volume)

$V = \dfrac{ \pi *r^2*h}{3}$

$V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}$

$V = 3.14*16*4$

$\boxed{V = 200.96\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$

Formula: (Volume of the hemisphere)

$V = 2* \pi * \dfrac{r^3}{3}$

Solving:

$V = 2* \pi * \dfrac{r^3}{3}$

$V = 2*3.14 * \dfrac{4^3}{3}$

$V = 2*3.14 * \dfrac{64}{3}$

$V = \dfrac{401.92}{3}$

$\boxed{ V_{hemisphere} \approx 133.97\:cm^3}$

Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)

Volume of the figure = cone volume + hemisphere volume

Volume of the figure = 200.96 cm³ + 133.97 cm³

$\boxed{\boxed{\boxed{Volume\:of\:the\:figure = 334.93\:cm^3}}}\end{array}}\qquad\quad\checkmark$

_______________________

I Hope this helps, greetings ... Dexteright02! =)

6 0

3 years ago

How do i find the distance between the pair of points. (9,3) , (9,7)

Rasek [7]

Answer: 4

----------------------

To get this answer, subtract the y coordinates.
7-3 = 4
You subtract the larger one minus the smaller one. You can use absolute value to ensure the result is never negative.

This trick only works because the x coordinates are the same (both are 9)

5 0

3 years ago

V 144 belongs to the set of integers.<br> O True<br> O False

strojnjashka [21]

Answer:

True

Step-by-step explanation:

$\sqrt{144}$