Answer:
independent: time (hours)
dependent: distance (miles)
Step-by-step explanation:
The independent variable would be time because it can be changed depending on his walking speed.
The dependent variable would be distance
Answer:
x² + (y + 5)² = 100
Step-by-step explanation:
If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).
Using the equation of a circle with center (h, k)
(x - h)² + (y - k)² = r² where r = radius of the circle.
Given that r = 10 units, and substituting the values of the other variables into the equation, we have
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-5))² = 10²
x² + (y + 5)² = 100
which is the equation of the circle.
Answer:
3 1/20
Step-by-step explanation:
First, we will convert the mixed numbers into improper fractions...
9 3/10 (9*10=90+3=93) so the improper fraction is 93/10
5 3/4 (5*4=20+3=23) therefore the improper fraction is 23/4
We then want to make the denominator the same...
93/10 (*4) = 372/40
23/4 (*10) = 230/40
We then put it into the question...
372/40 - 230/40 = 142/40
Lastly, we now need to turn this into a mixed number...
142/40=3.55 so the answer is 3 2/40
3 2/40 in it's simplest form is 3 1/20
Hope this helps!
