Step-by-step explanation:
s=d/t
s=18/30
s=3/5km/h
Answer:
y+5=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
Answer:
117 degrees
Step-by-step explanation:
Two vertical angles will always equal each other.
So, set up an equation where angle A and angle B equal each other to solve for x:
5x - 3 = 4x + 21
5x = 4x + 24
x = 24
Plug in 24 for x in the expression represent angle A:
5(24) - 3
120 - 3
117
Answer:
x^2/25 +y^2/9 = 1
Step-by-step explanation:
You can think of an ellipse as a circle with a different scale factor in the x-direction than in the y-direction. When either dimension is stretched by a factor of k, the corresponding variable (v) is replaced by (v/k).
Here, the unit circle
x^2 +y^2 = 1
is stretched by a factor of 3 vertically (in the y-direction) and a factor of 5 horizontally (in the x-direction). That means we can replace x with (x/5) and y with (y/3) in the above equation to get ...
(x/5)^2 +(y/3)^2 = 1
Traditionally, the denominator is written as a number, not a square, so the equation would be ...
x^2/25 +y^2/9 = 1
The area of a triangle is base * height / 2
The length of the base is 16 - 12 = 4
The height is 31 - 0 =0
Then the area is 4*31/2 = 62