Note:
sin(-θ) = -sinθ
sin(-15°) = -sin15° Use a calculator
sin(-15°) = -sin15° = -0.2588
sin(-15°) = -0.2588
Answer:
Slope, m = 1100
y-intercept,c = 2491
Step-by-step explanation:
We are given the following in the question:
The above gives the altitude of the airplane above the sea level in feet(y) after x minutes since the take off.
Comparing the above equation, to a general linear equation, we have,
where m is the slope and c is the y-intercept.
Comparing we get,
Slope, m = 1100
y-intercept,c = 2491
Interpretation:
- The slope of equation tells us about the rate of change of function with unit increase in value of x. Thus, the altitude of airplane increases 1100 feet when the time increases by 1 minute.
- The y-intercept is the value of y when x is 0. Thus, the altitude of airplane is 2491 feet when the airplane has not taken off.
Answer:
the positive slope of the asymptote = 5
Step-by-step explanation:
Given that:
Using the standard form of the equation:
where:
(h,k) are the center of the hyperbola.
and the y term is in front of the x term indicating that the hyperbola opens up and down.
a = distance that indicates how far above and below of the center the vertices of the hyperbola are.
For the above standard equation; the equation for the asymptote is:
where;
is the slope
From above;
(h,k) = 11, 100
= 100
a =
a = 10
b =
b = 2
y = 5x-53 , -5x -57
Since we are to find the positive slope of the asymptote: we have
to be the slope in the equation
=
= 5
Thus, the positive slope of the asymptote = 5
Answer:
9
Step-by-step explanation:
1. You would make these to equations equal to each other because there are parellel(they have the same angel)
2. EQUAL these 2 equations together to find r.
3. SOLVING for r
7r - 5 = 6r + 4
r = 9
I think 12 minutes because if you take 9 divide it by 3/4 you get 12