Well first you want to be trying to solve for the same variable in both problems. Lets solve for Y.
This means we must make both equations say " Y="
first we subtract 12x from both sides of "12x-3y=3" which leaves us with
-3y=3-12x and y=4x-1.
you are basically going to merge the 2 problems by adding "1" to both problems and then subtracting "4x" from both as well as subtracting "y" from both. This gets rid of a variable in one problem and essentially puts in to the other in the process.
This leaves you with -4y=4-16x
Can you solve from there?
25 - 16 / 2^3 - 5 + 3
Start off by putting 2 to the third power to get 8. Then divide 16 by 8 to get 2. 25-2=23-5=18+3=21
<u><em>Answer:</em></u>
152,000
<u><em>Explanation:
</em></u>First, we will need to translate the words into numbers and then we will perform the addition.
<span><u><em>1- translating the words into numbers:</em></u>
ten thousands means 10,000
14 ten thousands means 14 * 10000 = 140000
thousands means 1000
12 thousands means 12000
<u><em>2- Performing the addition:</em></u>
14 ten thousands + 12 thousands
= 140000 + 12000
= 152000
</span>
Hope this helps :)
Answer:
10.39 ft²
Step-by-step explanation:
To answer the question, we need to know the following;
- A regular polygon is a polygon whose sides are equal
- A hexagon is a six sided polygon
- A regular hexagon is a polygon with six equal sides
In this case, the length of one side of the hexagon is 2ft
We are required to determine the area of the hexagon;
We need to determine the number of triangles we can divide an hexagon into triangles from its center, then determine the center angle of each triangle.
Center angle = 360° ÷ 6
= 60°
Therefore, we have six isosceles triangles whose base side is 2 ft in length and the one angle at the top is 60°
Dividing the a triangle into two we have two right angled triangle each with an angle of 30° and one of the shorter side as 1 ft.
Using trigonometric ratios we can determine the other side.
tan 30 = opp/adj. opposite is 1 side
Adj = 1 ft ÷ tan 30
= 1.732 ft
Therefore, the area of each triangle = 0.5 × 1 ft × 1.732 ft × 2
= 1.732 ft²
Therefore, the area of a hexagon = 6 × 0.5 × 1 ft × 1.732 ft
= 10.392 ft²
Thus, the area of the hexagon is 10.39 ft²
Answer:
<em>135k</em>
Step-by-step explanation:
<em>9k*8k=72k</em>
<em>9k*7=63k</em>
<em>72k+63k=135k</em>