Answer:
The answer is y= - 3/2x + 3
So -3/2 is your slope because y=mx+b,
Step-by-step explanation:
I wrote it in slope-intercept form.
I'm guessing the angle is supposed to have measure 60º, not 600º... In this case,
That is, the length of the arc we care about occurs with the circle's circumference in the same ratio as the measure of the central angle it subtends occurs with one complete revolution of the circle. Then with , we have
so the answer is C.
Answer:
Step-by-step explanation:
Let L be the length of the ladder,
Given,
x = the distance from the base of the ladder to the wall, and t be time.
y = distance from the base of the ladder to the wall,
So, by the Pythagoras theorem,
,
Differentiating with respect to time (t),
Here,
Also, ( Ladder length = constant ),
Which is the required notation.
Answer:
Cartesian plane: This is a particular case of a coordinate plane, such that we have two (or more) perpendicular axes, and usually is used for rectangular coordinates.
Two-dimensional: A coordinate plane can be two-dimensional, some examples are polar coordinates, where the coordinates are the radius and the angle, or rectangular coordinates, where the variables are x and y.
Three-dimensional: Similar to before, a coordinate plane can be three-dimensional in several ways, like in spherical coordinates or cylindrical coordinates.
Extends forever: The axes in a rectangular coordinate plane extend forever, so this description also works.
Perpendicular axes: In some cases, like in rectangular coordinates, the axes are perpendicular, (but not always) so this can also be used.
Parallel axes: As each axis is measured along its length, having two parallel axes will be useless (as we could use only one axis instead of two) so this is the only one that would not apply to a coordinate axis.
Answer:
Equation: 32.75p + 16.75 = 311.50
Answer: p = 9
Step-by-step explanation:
Given information:
- $32.75 = Cost of a ticket (per person).
- $16.75 = Cost of parking.
- $311.50 = Maximum amount to spend.
<u>Defined variable</u>:
Let p = number of people who can go to the amusement park.
Create an equation from the <u>given information</u> and the <u>defined variable</u>:
32.75p + 16.75 = 311.50
Solve the equation:
⇒ 32.75p + 16.75 = 311.50
⇒ 32.75p + 16.75 - 16.75 = 311.50 - 16.75
⇒ 32.75p = 294.75
⇒ 32.75p ÷ 32.75 = 294.75 ÷ 32.75
⇒ p = 9
Therefore, 9 people can go to the amusement park.