Answer:
12. a = 2
13. 
Step-by-step explanation:
12.
6a(a + 3) = 2a(3a + 5) + 16
First, distribute 6a on the left side, and distribute 2a on the right side.
6a² + 18a = 6a² + 10a + 16
Subtract 6a² from both sides.
18a = 10a + 16
Subtract 10a from both sides.
8a = 16
Divide both sides by 8.
a = 2
13.

The LCD of 2 and 3 is 6. We multiply both sides of the equation by 6 to get rid of all denominators.



Combine like terms on the left side. Distribute the 2 on the right side.

Subtract 2x from both sides.

Divide both sides by 3.

You use a number line to see what is greater and less than.
And use a model to visualize it more.
And they are alike because they can both help in the same way but for different people.
Answer:
5y = x +15
Step-by-step explanation:
here you have to multiply both sides with 5 to make it a general form ,
5(y) = 5(1/5x) + 5(3)
5y = x + 15
Got a little help from app called Gauthmath. It got concept videos and tutors. You can check it on Play Store and App Store. Really good app in my opinion.
<em>Hope </em><em>this </em><em>helps.</em><em> </em>:)
If y=mx+b,

You can't differentiate a constant, so dy/dx=m.
D. 2744 cm^3
Soultion no. 1
If you put the figure sideways you get a prism (with the two dark triangles as bases) and the formula for the volume is
V = BH (where B is the area of the base and H is the height, 49)
The area of the triangle is
P = (8*14)/2 (half the area of a rectangle with sides 8 and 12) which is:
P = 8*7 = 57
The volume is:
V = 57 * 49 = 2744
Solution no. 2
The figure has half the volume of a rectangular prism with sides 8, 14 and 49
Which is:
V = (8*14*49)/2 = 2744