Answer:
0.28
Step-by-step explanation:
Pizza is 30%, curry is 42%, so pasta has to be 28%.
rate of blowing balloons of Alexa = 15/20 = 0.75
rate of blowing balloons of Sara = 18/25 = 0.72
rate of blowing balloons of Shirley= 16/21 = 0.76
rate of blowing balloons of Sam = 12/23 = 0.52
from above calculation we concluded Shirley can blow balloons at the fastest rate!
Yes, because each input value corresponds to exactly one output value.Yes, because the outputs increase as the inputs increase.No, because the graph is not continuous.No, because the curve indicates that the rate of change is not constant.
Answer:
Step-by-step explanation:
Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:
and
Now for the slope of AB:
and
So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):
and filling in:
y - 3 = -3(x - 0) and
y - 3 = -3x + 0 and
y - 3 = -3x so
y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):
0 = -3x + 3 and
-3 = -3x so
x = 1
The coordinate on the x-axis such that AC = BC is (1, 0)
