(300) (30,000) = 9 x 10m
9,000,000 = 90m
divide by 90
100,000 = m
find y=mx+b for line parallel to AB.
The line that is parallel will have the same slope as line AB:
the slope of line AB is
m=(8-3)/(-10-2)
=5/-12
=-5/12
Since the line going through X is parallel the vertical distance of the new line to AB is the same for all values of the domain(x-axis).
at x=-5 the point X has the y value of 10 which is 4 more than the y value for AB based on the graph.
To find the intercept b of the line going through X that is parallel to AB we just add 4 to the intercept of AB, which is 4 so
4+4=8
Answer:
The Answer is that Orchestra seats were $15 and Balcony seats were $9.
Step-by-step explanation:
400(x+6) + 250x = 8250
400x + 2400 + 250x = 8250
650x + 2400 = 8250
650x = 5850
x = 9
Proof:
400(15) + 250(9) = 8250
6000 + 2250 = $8,250
The balloon reaches a height of 7 feet at 0.1 seconds and 2.13 seconds
<h3>How to determine the time the balloon is at the height?</h3>
The equation of the function is given as
h(t)= -16t^2 + 35t + 5
The above equation is a quadratic equation
When the balloon is at a height of 7 feet, we have
h(t) = 7
So, we have the following equations
h(t)= -16t^2 + 35t + 5
h(t) = 7
Next, we plot the equations on a graph (see attachment)
The equations intersect at
t = 0.059 and t = 2.129
Approximate
t = 0.1 and 2.13
Hence, the times are 0.1 seconds and 2.13 seconds
Read more about quadratic equation at
brainly.com/question/15709421
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If a semicircle is rotated about the x axis of the graph then the resulting three dimensional shape will be a sphere.
Given a semicircle on a graph.
A semicircle is a half circle .A sphere is a geometrical object that is a three dimensional shape , It is the set of points that are all at the same distance r from given point in three dimensional shape.
Rotation is basically an action of rotating around an object or an axis.
If a semicircle is rotated about x axis then the resulting figure will be a sphere. This is because of the fact that when the semi circle is rotated about the x axis then all the points will be at equal distance in all directions from the center.
Hence if a semicircle is rotated about x axis then the resulting figure will be a sphere.
Learn more about sphere at brainly.com/question/1293273
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