Step 
<u>Find the slope of the given line</u>
Let
slope mAB is equal to
Step 
<u>Find the slope of the line that is perpendicular to the given line</u>
Let
CD ------> the line that is perpendicular to the given line
we know that
If two lines are perpendicular, then the product of their slopes is equal to 
so
Step 
<u>Find the equation of the line with mCD and the point (3,0)</u>
we know that
the equation of the line in the form point-slope is equal to
Multiply by both sides
therefore
the answer is
the equation of the line that is perpendicular to the given line is the equation
You can find “hypotenuse” using Pythagorean to get the length of one of those steps, 12.5, and you get 150 when you multiply that number by 12 for each of the 12 steps
Answer:
A
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 9)² + (y - 6)² = 10² is in this form
with centre = (- 9, 6) → A
Answer:
25 sq. units
Step-by-step explanation:
Because it is a square, you only have to find one if its side lengths. Let's say you choose to find the distance between B and C. You'll be finding the length of a hypotenuse due to the fact that the two points are diagonal from each other. Use the x and y values to discover the lengths of the legs of the triangle. In this instance, they are 3 and 4. Using background knowledge of the properties of triangles, I know that the hypotenuse of a right triangle with legs of 3 and 4 must be 5. Therefore, the side length of this square is 5. To find the area of a square, simply multiply its side length by itself. 5 x 5 = 25!
Answer:
It is an imaginary number.
Step-by-step explanation:
The square root of negative one is "i," the imaginary number. This concept is immensely useful in mathematics, as it allows for there to be square roots of negative numbers, which is otherwise not possible using only real numbers.
Any number that includes a negative square root is called an imaginary number. For example, the square root of -9 equals 3i, an imaginary number. When an imaginary number and a real number are combined, for example 2 + 3i, this is called a complex number. Complex numbers have many real world applications, including manipulating sound waves and calculating electrical currents.
