9514 1404 393
Answer:
see attached
Step-by-step explanation:
The given equation is in intercept form:
x/(x-intercept) +y/(y-intercept) = 1
This means the x- and y-intercepts are (4, 0) and (0, -3), respectively. Plot these points and draw the line through them.
Answer:
(x – 1)² + (y +2)² = 5
Step-by-step explanation:
recall that the general form of the equation for the circle is as follows:
(x – h)² + (y – k)² = r²
where, (h,k) are the coordinates for the center of the circle and r is the radius of the circle.
We are given that the center of the circle is at (1,-2). Comparing this with the description of h & k above, we can immediately conclude that h = 1 and k = -2.
Hence the only thing we are missing now is radius r.
It is given that the circle passes through the origin, hence if we draw a line between the origin (0,0) and the center (1,-2), this distance is the radius.
to find the distance between 2 points, we use the attached formula
Distance = radius, r = √ [ (1-0)² + (-2-0)²]
r = √ [ (1² + (-2)²]
r = √ [1 + 4] = √ 5
hence we can assemble the equation
(x – 1)² + (y – (-2))² = (√5)²
(x – 1)² + (y +2)² = 5
Answer:
Step-by-step explanation:
Given
<em>below sea level</em>
<em>above sea level</em>
Required
Determine the distance between them
The distance between them is calculated as thus:
Because CA is below sea level, it's value will be negated;
So, we have:
<em>Hence, the distance between them is 1032 feet</em>
