Answer: 14.6
Step-by-step explanation:
I made a square around the triangle which I then counted the squares, found the Pythagorean theorem, and then added the missing sides together
Answer: Choice B) (2,0)
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Set the first piece equal to zero and solve for x
x^2 - 4 = 0
x^2 = 4
x = sqrt(4) or x = -sqrt(4)
x = 2 or x = -2
Keep in mind that the first piece y = x^2-4 is only graphed when x = 2 or larger, so we ignore x = -2. This is one x intercept, but there may be more. Let's check the other graph to see what we get.
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Set the second piece equal to zero and solve for x
x-2 = 0
x-2+2 = 0+2
x = 2
We get the same result as above in the prior section. Because of this, the two pieces connect at this junction point.
The x intercept x = 2 leads to the location (2,0). The x intercept always occurs when y = 0.
The graph below shows this.
side note: the red piece y = x^2 - 4 looks linear, but it's actually not a straight line. It's just a really stretched out curve.
Answer:
t = 6 4/25 hours
Step-by-step explanation:
The formula to find out how long it takes them to do the job is
1/m + 1/ a = 1 /t
where m is the time for Matthew to do the job
a is the time for Arianna to do the job
and t is the time for them to do the job together
m = 14 hours
a = 11 hours
Substituting what we know
1/14 + 1/11 = 1/t
Multiplying by 154t (14*11*t) so we can clear the fractions
154t*(1/14 + 1/11) = 1/t* 154t
11t + 14t = 154
Combine like terms
25t = 154
Divide by 25
t = 154/25
t = 6 4/25 hours
Answer:
64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8.
Hope that helps!
Answer:
4, 12, 8, 10
Step-by-step explanation:
Ratio:
Hydrogen : Oxygen
2:1
1) 8/2 = 4 Oxygen atoms
2) 6*2 = 12 Hydrogen atoms
3) 16/2 = 8 Oxygen atoms
4) 20/2 = 10 Oxygen atoms