In order to find out what 36x + 9 is equivalent to,, we must factor out 9 from the expression. Once we do this you will find that this expression is equivalent to 9(4x + 1),, or option E.
Next we will look at the expression 9(4x -1). In order for us to find out the equivalent to this expression,, we must first multiply each term in the parenthesis by 9.
9 × 4x - 9
Now calculate the product
36x - 9
This means that the equivalent for this expression is 36x - 9,, or option A.
Lastly,, we will look at the final expression given which is 4(9x + 2). The first step for finding the equivalent of this expression is to multiply the numbers in the first parenthesis together.
(36x) + (4 × 2)
Now multiply the numbers in the second parenthesis together.
(36x) + 8
Remove the parenthesis
36x + 8
Now factor out 4 from the expression to get your final answer.
4(9x + 2)
This means that the last expression is equivalent to 4(9x + 2),, or option C.
Let me know if you have any further questions
:)
Answer:
The surface area of the prism is 276 in.²
If you are also looking for the volume of the prism, it is 280.
Step-by-step explanation:
It's hard to find the surface area and the volume of the prism if you're just looking at the net of the 3D shape. There are some unnecessary measurements that will definitely throw you off. I drew a sample prism so it's easier to solve. Check the linked image.
The formula in finding the surface area of a prism is SA = 2(wl + hl + hw), where w is for width, l is for length, and h is for height. The point of all of these calculations is to find the area of 3 different faces of the prism and then you add up all of the areas and multiply the sum by 2 to give you the surface area. Looks a lot but it's worth getting the answer right.
The formula in finding the volume of the prism is V = w * h * l, where w is for width, h is for height, and l is for length. Simple multiplication of 3 different sides and you'll get the volume. I hope this helps and if I am wrong please let me know! :D
Answer:
Step-by-step explanation:
12x −3y=36 ⇔ 3y = 12x - 36
y = 4x - 12
y = 0 ⇔ 4x - 12 = 0 ⇔ 4x = 12 ⇔ x = 12/4 = 3
So (0 ; - 12) and (3 ; 0)
Answer:
768
Step-by-step explanation:
First multiply by two
Then multiply by four
Answer:
sin(x) and cos(y) are equal and have ratio of 1 : 1
First find the missing hypotenuse using Pythagoras theorem:
a² + b² = c²
12² + 5² = c²
c = √144+25
c = 13
using sine rule:


using cosine rule:

