Answer:
-2/3 is the y intercept
Step-by-step explanation:
So to find the y-intercept you must first put this in Slope-intercept form, I believe the form it is in right now is called standard form.
To get it into slope intercept form, we have to isolate y:
subtract 2x from both sides:
-3y = -2x + 2
Divide both sides by -3:
y = (2/3)x - 2/3
Now that we have slope-intercept form, we can find the y-intercept. We know slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. In this case the y-intercept is -2/3.
Hope this helps!
Answer:
about 785.4
Step-by-step explanation:
The circumference of a circle is pi times the diameter:
C = πd
C = π·(250 ft) ≈ 785.4 ft
_____
Most scientific or graphing calculators have the value of π built in. If yours doesn't, a value good for at least 6 significant figures is the ratio 355/113.
we are given
we can see that
4a is in multiple in numerator
so, we can factor it out
now, we can cancel 4a
and we get
.............Answer
Answer:
Ground speed = 131.25 km/h
Bearing = 92.68º
Step-by-step explanation:
If we imagine a triangle to depict the question with one side 134 km/h at an angle of 78º to the right of vertical (the plane's speed vector).
At the end, we have a line 21 km/h at an angle of 180 (from north), a vertical down from the end of the plane's vector. This vertex is angle B
This makes a triangle with the interior angle B of 78º.
The 3rd side is the ground speed which we can find using the Cosine rule:
b² = a² + c² - 2•a•c•cos(78)
b² = 134² + 21² - 2•134•21•cos(78)
b² = 17226.873
b = 131.25 km/h
The true course bearing" is the ground track. Thus;
Using the Sine rule to find angle A, we have;
(sin(A))/34= sin(78)/b
Thus,
sin(A) = (34 x sin(78))/131.25
sin(A) = 0.2534
A = sin^(-1)0.2534
A = 14.68º
Ground track = A + 78 = 14.68 + 78 = 92.68º
