Answer:
Step-by-step explanation:
Given:
Center of circle is at (5, -4).
A point on the circle is 
Equation of a circle with center 
and radius 'r' is given as:
Here, 
Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:
Using distance formula for the points (5, -4) and (-3, 2), we get
Therefore, the equation of the circle is:
Now, rewriting it in the form asked in the question, we get
Answer:
20.1246118 or 20.12
Step-by-step explanation:
First draw the box with the diagonal, as you can see it is split into 2 equal right triangles. Now use the pythagorean theorem (a^2+b^2=c^2) to find the length of the diagonal
Answer:
84,6km/h
Step-by-step explanation:
the whole journey was
in the first part the car travels 50km, in the second part 120km and in the third part we can find it with a simple rule of three
90km--->60 min
X<--------35min= 52.5 km the car made in the last part
50km+120km+52,5km=222.5km was all the journey
and he made it in:
- the last part in 35min,
- in the second part we know that the car was going at 80km/h and that he made 120km so:
80km--->60 min
120km--->90 min
- in the first part we know that the car was going at 25m/s and he made 50km. 25m/s*1km/1000m*3600s/1h= we obtain the speed in km/h=90km/h
90km---->60min
50km---->x=33,333 min
The whole journey last 33,333min+90min+35min=158.333min
if we express that in hour = 158.333min*1hr/60min=2.63
the car made 222.5km in 2.63 hour
so the average speed was
222.5---->2.63hr
X--------1hr=84,6
the average speed was 84,6km/h
0.6 is just what it seems like. 3/4 needs to be turned into a decimal for it to be compared with 0.6. 3/4 equates to 0.75, so we can see that 0.6 < 0.75.
Hope this helps! Just combine like terms and solve like abnormal equation (:
