No, he can not do it
Step-by-step explanation:
To prove that the the given three sides can form a right triangle:
- Square the three sides
- Add the squares of the smaller two sides
- If the sum is equal to the square of the largest side, then the three given sides can form a right triangle
- If the sum is not equal to the square of the largest side, then the three given sides can not form a right triangle
∵ The designer has three partitions that are 14 , 9 and 20 feet
- Square the length of each partition
∵ 9² = 81
∵ 14² = 196
∵ 20² = 400
- Add the squares of the two smaller partitions 9 and 14
∵ 81 + 196 = 277
∵ The square of the largest partition = 400
∵ 277 ≠ 400
∴ The sum of the squares of the two smaller partitions is not
equal to the square of the third partition
- To create the apartment in the shape of a right triangle he must
have three partitions the sum of the squares of the two smaller
partitions is equal to the square of the largest partition
∴ He can not create the apartment in the shape of a right triangle
No, he can not do it
Learn more:
You can learn more about the right triangles in brainly.com/question/4098846
#LearnwithBrainly
Answer:
x = -2
Step-by-step explanation:
2x + 7 = 3
Cancel the 7 by subtracting from both sides
2x + 7 - 7 = 3 - 7
2x = -4
2x / 2 = -4 / 2
x = -2
1+2(1)=3. True
-3+2(4) = 5 True
-2+2(2) = 2 False
5 +2(-2) = 1 False
<h2>Steps</h2>
- Standard Form Equation: f(x) = ax² + bx + c
So firstly, since (0,5) is one of our values we can plug it into the standard form equation to solve for the c variable (since 0 will cancel out the a and b variable):
Now we know that the value of c is 5. Next, plug in (-1,12) into the standard form equation and simplify (remember to also plug in 5 for the c variable):
Next, plug (2,15) into the standard form equation and simplify:
Now, with our last two simplified equations we will create a system of equations:
Now, I will be using the elimination method with this system. With the system, add up the equations together and you will get:
From here, we can solve for the a variable. With it, just divide both sides by 3:
Now that we know the value of a, plug it into either equation to solve for the b variable:
<h2>Answer</h2>
Putting all of our obtained values together, your final answer is:
Answer:
24 over 15
Step-by-step explanation:
