The circumference is ~43.98 miles.
Answer:
B
Step-by-step explanation:
given y = kx
To find k use the x and y values of the coordinate point given (- 5, 3)
k =
=
= -
Answer:
Option A: (4, -15).
Step-by-step explanation:
Given the quadratic function, y = x² - 8x + 1, where a = 1, b = -8, and c = 1:
<h3><u>Solve for the x-coordinate of the vertex:</u></h3>
We can use the following equation to solve for the x-coordinate of the vertex:

Substitute the given values into the formula:

Hence, the x-coordinate of the vertex is 4.
<h3><u>Solve for the y-coordinate of the vertex:</u></h3>
Next, substitute the x-coordinate of the vertex into the given quadratic function to solve for its corresponding y-coordinate:
y = x² - 8x + 1
y = (4)² - 8(4) + 1
y = 16 - 32 + 1
y = -15
Therefore, the vertex of the given quadratic function, y = x² - 8x + 1, is: x = 4, y = -15, or (4, -15). Thus, the correct answer is Option A: (4, -15).
An isosceles triangle is a triangle with two equal sides. Since, one of the angles is 90 degrees. Then, the 2 remaining must equal 90 because the total of the triangle should be 180 degrees. So, I think 45 degrees is the only one we can use here because 45 + 45 = 90 degrees.