To find which point is NOT on the line y = 5x + 1, we just need to plug each point into equation y=5x+1 to see which one point satisfies this equation.
check for (1,6)
y=5x+1
or 6=5*1+1
or 6=5+1
or 6=6
Which is TRUE.
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check for (2,11)
y=5x+1
or 11=5*2+1
or 11=10+1
or 11=11
Which is TRUE.
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check for (0,1)
y=5x+1
or 1=5*0+1
or 1=0+1
or 1=1
Which is TRUE.
--------
check for (-1,6)
y=5x+1
or 6=5*(-1)+1
or 6=-5+1
or 6=-4
Which is FALSE.
--------
Since only point (-1,6) fails to satisfy the given equation hence point (-1,6) is the final answer.
Answer:
1 inches per cube
As required.
Step-by-step explanation:
Solution:
Given:
Volume = l3
dV / dt = 3 l2dl / dt
dv / dt = 0.5 inches cubed / hour
Surface area = 6 l2
Differentiate with respect to t: s = 6 l2
We get:
ds / dt = 12 l dl / dt
and dv / dt = = 0.5 inches cubed / hour
we know that:
dv / dt = 20 = 3 l2dl / dt
0.5 = 3 l2 (dl / dv)(dv / dt)
0.5 = 3l2 dl / dt
0.5 / 3l2 = dl / dt
Put 0.5 / 3l2 = dl / dt in eq ds / dt = 12 l dl / dt
ds / dt = 12 l (0.5 / 3l2)
= 4(0.5) / l
= 2 / 2 inches pr cube [ l = 2 inches per cube]
= 1 inches per cube
As required.
Base angles in an isosceles triangle, assuming the base is the one that does not match any other side, are equal.
You are told one of them on the 1st triangle. 55º.
So you can assume the other one will also be 55º.
Internal angles in a triangle add up to 180º.
Subtract the sum of both angles (
) from 180 and you will get the third one (
).
This 70º angle is vertically opposite to one of the base angles of the other isosceles triangle. Knowing vertically opposite angles are equal, then the other angle must be also 70º.
Now you have one of the base angles for the second isosceles triangle!
Again, knowing that base angles in an isosceles triangle are equal, 
must be equal to 70º.
First we divide 162 by 18. Our answer is 9. She earns 9$ for every hour she works. We then divide 207 by 9 and we get 23.
Answer: 23
