Right now, we are given the standard form of the line: ax + by = c
a = 6, b = -3, c = 12
If we use algebra to to change it into its point-slope form, we can easily identify the slope of the equation.
6x - 3y = 12
-3y = 12 - 6x
- 3y = -6x + 12
3y = 6x - 12
3y/3 = (6x - 12)/3
y = 2x - 4
Now the equation is in point-slope form: y = mx + b where m is the slope.
Since m=2, the slope of the line is 2.
A shortcut to find the slope of a line in standard form is m = -a/b
Using the same equation as above, 6x - 3y = 12 a = 6, b = -3
-6/(-3) = 2
B. 31.38
We can immediately rule out A and D, because we're looking at 31.38, not 21.38. And considering C, we can rule that out as well, because Karen has a credit of $31.38, which implies positive, or gain. If it were to be a negative, then she would have lost that amount of money.
Answer:
AB and CD would be 30
AC and BD would be 16
Step-by-step explanation:
The scale factor is what you multiply the sides by. Dilate means wider or larger so you multiply each side by the scale factor of 2 to get the higher scaled rectangle.
Answer:
what do you need help on
Step-by-step explanation:
what
The airplane reaches its maximum height of 81 feet in 12 seconds.
<h3>Behavior of curves</h3>
If y = 
, it means that the second derivate is 2 which is positive, then there is a minimum turning point.
If y = - , it means that the second derivative will be -2 which is negative, then there is a maximum turning point.
Analysis:
h(t) = -
+ 81
By expanding,
h(t) = -(
- 24t + 144) +81
h(t) = - + 24t - 144 + 81
h(t) = - + 24t - 63
at turning point d/dt(h(t)) = 0
d/dt (h(t)) = -2t +24
-2t +24 = 0
if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.
2t = 24
t = 12 seconds
h(t) at t = 12
h(t) = 
+ 24(12) - 63 = 81 feet
In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.
Learn more about minimum and maximum points: brainly.com/question/14993153
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