What I would do first is find the base and height of the rectangle and from there you have the diameter of the circle so you can divide that by 2 and you have your radius which you’d be able to find the total area
Answer:
m∠QPT = 110°
Step-by-step explanation:
1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.
- This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.
2. (Solving)
Step 1: Combine like terms.
Step 2: Subtract 20 from both sides.
Step 3: Subtract 5x from both sides.
Step 4: Check if solution is correct.
3. Now, let's plug in 15 for 6x + 20:
Therefore, m∠QPT = 110°.
Given the quadratic equation:

Using the general solution for quadratic equations:

From the problem, we identify:

Then:

And the solution set is:
Answer:
The minimum is -5
The range is 
f(14) = 2739
Step-by-step explanation:
Given

Solving (a): The minimum
A quadratic function is represented as:

If a > 0, then the function has a minimum
By comparison
--- the function has a minimum


To calculate the minimum, we first calculate the following is calculated as:

So, we have:


So, the minimum is at f(m)
We have: 


Solving (b): The range
In (a), we have:
--- the minimum
This implies that the smallest value of y on the graph is -5.
So, the range is:

Solving (c): f(14)
We have:

So:


Answer:
The answer is A. (-2,-2 and (2,2)
Step-by-step explanation: