Answer:
C.
15 votes
Step-by-step explanation:
B= votes Billy got
K = votes Keeton got
B = 3K
B+K =20
Substitute the first equation into the second equation
3K + K =20
Combine like terms
4K =20
Divide both sides by 4
4K/4 = 20/4
K =5
Keeton got 5 votes
B = 3*K
B = 3*5
B = 15 votes
Billy got 15 votes
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
Answer:
5
Step-by-step explanation:
This is a right triangle, but note that you only know the measurement of one angle, which is 90 degrees.
Use the following formula to solve:
a² + b² = c²
In which:
a & b = shorter sides
c = hypotenuse
Plug in the corresponding numbers to the corresponding variables:
(3)² + (4)² = ?²
Solve. Remember to follow PEMDAS. First, solve the exponents, then add:
(3)² = (3 * 3) = (9)
(4)² = (4 * 4) = (16)
9 + 16 = ?²
25 = ?²
Isolate "?". Root both sides:
√(25) = √(?²)
? = √25 = √(5 * 5) = 5
Your missing side's measurement is 5.
~
Answer:
73.43
Step-by-step explanation:
To find any hypotenuse use the Pythagorean theorem:
- First, square 36 (which would be 36 x 36) and square 64 (64 x 64).
- Add them together.
- Find the square root of the total.
- That's your answer :)
- Or you can just run it through this: https://www.google.com/search?q=how+to+calculate+hypotenuse&oq=how+to+calculate+hypot&aqs=chrome.0.0j69i57j0l6.8070j0j7&sourceid=chrome&ie=UTF-8
