475-211 = 264, 264/44= 6, the answer is the mechanic worked 6 hours
Answer:
y = 2x + 3
Step-by-step explanation:
The gradient (2x) is the same since the lines are parallel
The y-intercept(+3) is different however, since this line passes through co-ordinate (-1,3) It is +3 because in a co-ordinate the x and y co-ordinate is in this order (x,y). Therefore, the y number represents which y co-ordinate the line passed through the y axis.
For this case we have an exponential equation of the form:
Where,
- <em>A: initial value
</em>
- <em>b: decrease rate
</em>
- <em>x: number of years
</em>
Substituting values in the given equation we have:
Answer:
The value of the car after 15 days is given by:
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 . <=== ! ! !
