Remember that the general formula for a circle is <span>
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center.
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2).
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
Answer:
Arnold descended a distance of 5,250 ft after his parachute opened
Step-by-step explanation:
Here in this question, we want to know the distance Arnold descended after his parachute opened.
Mathematically, we know that distance = speed * time
In this case;
The speed is the rate at which he descended = 70 ft per second
Now the time is 1 minute and 15 seconds; since 1 minute is 60 seconds, then 1 minute and 15 seconds is 60 + 15 = 75 seconds
So what we are saying is he descended at a rate of 70 ft per second for 75 seconds
Thus, his distance of descent will be 70 ft per second * 75 seconds = 5,250 ft
Answer:
∠S, ∠R, ∠T
Step-by-step explanation:
Answer: m = -1
Step-by-step explanation:
m = slope
The slope is 1/-1 which is just -1.
Hope this helps!
Answer:
Right, I am an idiot so i might be wrong
Step-by-step explanation:
Every triangle has three angles which sum to 180 degrees.
There are three types of triangles based on the measures of its angles.
Right Triangle - Has one 90 degree angle
Acute Triangle - All angles less than 90 degrees
Obtuse Triangle - One angle greater than 90 degrees
In this example we are given 2 angles and must find the measure of the 3rd.
a + 56 + 34 = 180
a + 90 = 180
a = 90
Therefore, it is a Right Triangle.
