Absolute values are generally written as || instead of {}
|x| = 1 is the equivalent of 2 equations
x=1 and x=-1
Answer: (x + 6)² + (y + 5)² = 17
Explanation:
1) The equation of a circle is: (x - a)² + (y - b)² = r², wnere:
a is the x-coordinate of the center of the circleb is the y-coordinate of the center of the circler is the radius of the circle
2) Since the points (-7,-1) and (-5,9) define a diameter, you can find the center of the circle as the mid point of the diameter:
x-coordinate of the mid point = (-7 - 5) / 2 = - 12 / 2 = - 6
y-coordinate of the mid point = (-9 - 1)/ 2 = - 10 / 2 = - 5
Therefore, the center of the circle is (-6,-5)
3) The radius of the center is half the diameter.
The length of the diameter is found using the formula for the distance between two points applied to the two endopoints given:
diameter² = (7 - 5)² + (- 1 + 9)² = 2² + 8² = 4 + 64 = 68
⇒diameter = √68 = 2√17
⇒ radius = diamter / 2 = 2√17 / 2 = √17
4) Now you can replace the coordinates of the center and the radius into the equation:
(x + 6)² + (y + 5)² = 17
Answer:
x=9
y=
Step-by-step explanation:
This is a special type of triangle known as a 45-45-90 triangle.
The ratio for the sides of this triangle are x:x:x
Meaning that the two sides other than the hypotenuse are equal, so in this triangle x=9 because it is not a hypotenuse.
The hypotenuse, however, is the value of one side multiplied by .
In this case it is 9, so 9* =
Answer:
a:
-4 + (-7)
b:
-4+7
Step-by-step explanation:
here sorry it took so long
