how many miles on 1 gallon?
Lauren: 320/10=32
Melissa:280/8=35
Who Drove farther?
32*40=1280
35*40=1400
Melissa can drive farther
OK. I did it. Now let's see if I can go through it without
getting too complicated.
I think the key to the whole thing is this fact:
A radius drawn perpendicular to a chord bisects the chord.
That tells us several things:
-- OM bisects AB.
'M' is the midpoint of AB.
AM is half of AB.
-- ON bisects AC.
'N' is the midpoint of AC.
AN is half of AC.
-- Since AC is half of AB,
AN is half of AM.
a = b/2
Now look at the right triangle inside the rectangle.
'r' is the hypotenuse, so
a² + b² = r²
But a = b/2, so (b/2)² + b² = r²
(b/2)² = b²/4 b²/4 + b² = r²
Multiply each side by 4: b² + 4b² = 4r²
- - - - - - - - - - -
0 + 5b² = 4r²
Repeat the
original equation: a² + b² = r²
Subtract the last
two equations: -a² + 4b² = 3r²
Add a² to each side: 4b² = a² + 3r² . <=== ! ! !
For number 1,
he is able to mow 3 lawns for every 1 hour so
0hrs=0 lawns
1hrs=3 lawns
2hrs= 6 lawns
3hrs= 9 lawns
Answer:
It is a rational number
Step-by-step explanation:
They intercept in two points.
The graph y=x^2 is very basic so I suppose you know how it looks like.
It's like a U and starts from the origin (0,0)
The graph y=cosx is similar to y=x^2 but in a different way.
y=cosx doesn't pass from (0,0) it passes from (0,1) and then to (-1,0) and (1,0).
Basically, it goes like this..
~
If you know how the two graphs look like then you can understand why they intercept only two times.