The asymptote function f(x)=3^x+4 is y=
1 answer:
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Answer:
(15, 12)
Step-by-step explanation:
Let's generate two systems of equations that fit this scenario.
Number of trips to the airport = x
Number of trips from the airport = y
Total number of trips to and from the airport = 27
Thus:
=> equation 1.
Total price for trips to the Airport = 14*x = 14x
Total price of trips from the airport = 7*y = 7y
Total collected for the day = $294
Thus:
=> equation 2.
Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.
7 ×
1 ×
Thus:
=> equation 3
=> equation 4
Subtract equation 4 from equation 3
-7x = -105
Divide both sides by -7
x = 15
Substitute x = 15 in equation 1
Subtract both sides by 15
The ordered pair would be (15, 12)
Answer:
Step-by-step explanation:
Given:
Center of circle is at (5, -4).
A point on the circle is
Equation of a circle with center and radius 'r' is given as:
Here,
Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:
Using distance formula for the points (5, -4) and (-3, 2), we get
Therefore, the equation of the circle is:
Now, rewriting it in the form asked in the question, we get
Answer: 16) y=-0.5x+3 and 17) y=2x-3
Step-by-step explanation:
16: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.
Since y=3 at x=0, the y-intercept is (0,3), and b=3.
Slope= where (
) and (
) are two points on the line. Choose (0,3) and (2,2):
Slope==-0.5
Plug m=-0.5 and b=3 into y=mx+b:
y=-0.5x+3
17: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.
Because y=-3 at x=0, the y-intercept is (0,-3), and b=-3.
Slope= where (
) and (
) are two points on the line. Choose (0,-3) and (1,-1):
Slope==
=2
Plug m=2 and b=-3 into y=mx+b:
y=2x-3