Answer: (3/10) in = (7/8) mi
1 in = (7/8) mi ÷ (3/10)
= 7/8 * (10/3) = 70/24
1 in = (70/24) mi
It means every 1 inch on the map drawing represents (70/24) miles ≈ 2.917 miles in reality.
Hope this helps :)
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75% becuase it is more than 5o% by the looks of it
The angular velocity is the linear speed divided by the radius.
ω = d/(t*r) = (14.13 ft)/((3 s)*(6 ft))
ω = 0.785 radians/second
There are 180/π degrees per radian, so the angular velocity can also be written as ...
ω = 45 degrees/second
Answer:
The equation of the circle can be written as:
Step-by-step explanation:
The general equation of a circle with center 
and radius 
is:
In our example, we know 
, as we just have to make sure we need determine 
.
As the circle passes through (10, 14), that pair of values for x and y must satisfy the equation. So we have:
Thus the equation of the circle can be written as:
Answer:
Let's define two transformations.
Vertical translation.
If we have a function f(x), a vertical translation of N untis is written as:
g(x) = f(x) + N
If N is positive, then the translation is upwards
If N is negative, then the translation is downwards.
Horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x - N)
if N is positive, then the translation is to the right
If N is negative, then the translation is to the left.
Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.
Then:
g(x) = f(x - 5) + 3
and again, using f(x) = x^2
g(x) = (x - 5)^2 + 3
