Answer:
f(x) = 4x+5 ; 0 ≤ x ≤ 50
The range is the possible output values of f(x)
4(0) + 5 = 5 smallest output value in range
4(50) + 5 = 55 largest output value in range
The outputs are between 5 and 55 including the endpoints so
the range is [5, 55]
The two intersection points are (-2.79, -0.58) and (0.79, 6.58).
<h3>
How to find the points of intersection?</h3>
Here we want to solve the system of equations:
y = 2x + 5
x² + y² = 36
To solve this, we need to replace the first equation into the second one:
x² + (2x + 5)² = 36
Now we can solve this for x:
x² + 4x² + 10x + 25 = 36
5x² + 10x - 11 = 0
This is a quadratic equation, to solve it we use the general formula:

So we have two solutions for x:
x = (-10 - 17.9)/10 = -2.79
x = (-10 + 17.9)/10 = 0.79
To get the y-values of the solutions, we evaluate the linear equation in these values of x:
y = 2*(-2.79) + 5 = -0.58
y = 2*( 0.79) + 5 = 6.58
Then the two intersection points are (-2.79, -0.58) and (0.79, 6.58).
If you want to learn more about intersection points:
brainly.com/question/17206319
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Answer: Answer for figure one is origin (0,0)
Answer for figure two is (2,4) /
Step-by-step explanation:
a) Here we can see that given graph is the equation of cubic function which is
f(-x) = -f(x) that is given function is odd then rotational symmetry point is origin always ,therefore point of rotational symmetry is origin (0,0)
b) The rotational symmetry of an ellipse is 180 degrees about the center of the ellipse .
And here the center of given ellipse is (2,4) ,therefore its rotational symmetry is about (2,4) That is if we rotate the given ellipse 180 degrees about (2,4) it will be at its original position.
5 miles high is one of the sides of a triangle depending on accuracy level
h^2=x^2+y^2
we don't have 2 distances
Tan A=O/a
O=a tan A
We solve for O because the angle is at the top of the line going up and we want the opposite angle that is along the ground
O=5×tan(173.7/2)=90.854033512
The distance he can see is:
90.85*2~181.7 miles
Now we need to find the distance between lines:
The north south distance between each line is 69 miles
thus the number of degrees he will see will be:
181.7/69
=2 19/30