two triangles is equal to 12 ft squared
the area of rectangles is equal to 8 ft x 6 ft which will give you 48 feet squared
you add them together to get the total area and you will get 84 feet sqaured
Answer:
k = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-84 = -2(2 + 5k)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Divide -2 on both sides: 42 = 2 + 5k
- Isolate <em>k</em> term: 40 = 5k
- Isolate <em>k</em>: 8 = k
- Rewrite: k = 8
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: -84 = -2(2 + 5(8))
- Multiply: -84 = -2(2 + 40)
- Add: -84 = -2(42)
- Multiply: -84 = -84
Here we see that -84 does indeed equal -84.
∴ k = 8 is the solution to the equation.
Answer:
1,000,000,000 as a power of 10, is: 10^12
Step-by-step Solution:
We can expand 1,000,000,000, and write this number as a multiplication sentence using only the number 10. By doing this, we can count the number of tens needed to be multiplied to get to his answer:
1,000,000,000 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
Since 10 is multiplied by itself 12 times, we can therefore say that 10^12 is equal to 1,000,000,000
The direction of the graph would go <u>downwards</u> as it has a negative slope. Additionally, the line will start from 9 since that is the y-intercept.
First off need to plot the equation on the graph..
After doing this you determine that the slope of the line it is perpendicular to is 3/7 and it has a y-intercept of 36/7.
Slope intercept is y= mx+b
"m" being the slope and "b" being your y-intercept.
Well..
This isn't your final answer..
All you have to do is reverse the slope by making it negative to make it perpendicular to the line.
So..
Final Answer is: y= -3/7x+36/7 or y= -3/7x+5.142 (rounded to the nearest thousandth).
