Answer:
rational because the line over the three means the three repeats
decimal values that terminate or repeat are rational
Step-by-step explanation:
Answer:
neither
Step-by-step explanation:
Take out 5 as a common factor. It will be easier to look at.
5(5c^2 + 11c + 6)
5(5C +6 )(c + 1 )
Now you can put the 5 inside.
(25c + 30)(c + 1) is one answer.
(5c + 6)(5c + 5) is another.
The answer is multiplying binomials. There is nothing that that is squared and the answers are not conjugates. They are two binomials multiplied together.
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
Hello!
You want a choice where everyone has an equal chance to answer
The answer is D) All students in each grade because A is biased because students won't be able to answer, B is biased because it is limited to only to football team and C doesn't give girls the chance to answer
The answer is D) All students in each grade
Hope this helps!
9514 1404 393
Answer:
A) 504
B) 8
Step-by-step explanation:
The statement of proportionality can be written as the equation ...
m = kr²
Then we can find k from ...
k = m/r² = 14/2² = 7/2
That is, ...
m = (7/2)r²
__
Using this relation, we can find m for r=12:
m = (7/2)·12² = 7·72
m = 504 . . . for r = 12
__
And, we can use the same equation to solve for r when m=224.
224 = 7/2·r²
r² = 64
r = √64
r = 8 . . . for m = 224
