Answer:
10
Step-by-step explanation:
Hello there!
The standard form of the equation of a circle with center (h, k) and radius r is:
(x - h)² + (y - k)² = r²
So we have h = 4 and k = 3 and r = √5
So we just need to add these numbers to where they belong.
(x - 4)² + (y - 3)² = (√5)²
(x - 4)² + (y - 3)² = 5
Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!
Answer:


Step-by-step explanation:
Given;
(a) y = tan(5t)

Solving for (a)
y = tan(5t)
let u = 5t
⇒y = tan(u)
du/dt = 5
dy/du = sec²u


Solving for b;
let u = 5 - v²
du/dv = -2v
let v = 5+ v²
dv/du = 2v


<h3><u>Answer :- </u></h3>
168 km ...
<h3><u>Explanation :- </u></h3>
It is given that the car travels 14km in 25 minutes..
Now , assume that the distance the car travel in 5 hours be x..
- Since 1 hour = 60 minutes..
- 5 hours = 300 minutes ..
• Thus , The two given statements are :-
- 14km -----------------> 25 minutes..
- And, x km -------------> 300 minutes..
<h3><u>We know that , </u></h3>
- The distance travelled by car and the time taken by the car is directly proportional to each other....
<h3>So , </h3>


• Hence , Car can travel 168km in 5 hours ..
Hope this helps you :)
Answer:
C. y=1/2x+2
Step-by-step explanation:
1. Find the slope using the slope formula.
Slope formula: y2-y1/x2-x1
Let the y-value in the second ordered pair (4,4) be y2, and the 3 in the first ordered pair (2,3) be y1. 4 and 2 from these ordered pairs will be x2 and x1.
Plug these values into the equation and simplify.
4-3/4-2
=1/2
Slope is 1/2
2. Choose one of the ordered pairs and plug those numbers and the slope into the point-slope formula.
Point slope formula: y-y1=m(x-x1). M represents the slope, and the x1 and y1 represent the values of the ordered pair.
Let's use the pair (4,4).
y-4=1/2(x-4)
3. Simplify the equation to convert to y=mx+b format.
Multiply the inside of the parentheses by 1/2.
y-4=1/2x-2
Add 4 to both sides.
y=1/2x+2
3. C is your answer, for it matches what you found in the calculations.