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:
34
Step-by-step explanation:
H(x) = 4x-2
H(-9) = 4(9)-2
H(-9) = 36 -2
H(-9) = 34
Answer:
Step-by-step explanation:
y intercept is -6
the slope is already in it's fraction form but if you want it back to whole number it's y=1.33x-6
the slope is positive
Some plots you can put are (6, 2) and (12, 10)
Just start at (0, -6) and counts 4 up and 3 right
Answer:
50
Step-by-step explanation:
since the Pythagorean theorem is
√
b is the bottom line (48)
a is the right line (14)
c is the top line (c)
plug that in
√
then do the exponets
= 14 * 14 = 196
= 48 * 48 = 2304
then add them together
196 + 2304 = 2500
√2500
the sqrt of 2500 is 50 (50 * 50 = 2500)
c = 50
your answer is 50
hope this helps:)
<h2>
Answer:</h2><h2>
The correct option is d. (i) and (ii)</h2>
Step-by-step explanation:
The total miles covered per day = 45
No of commuting days in a week = 5
Total miles in a week = 45 * 5 = 225
The total amount spent on gasoline = $ 38
Cost of gasoline per gallon = $ 2.48
The number of gallons consumed per week =
= 15.32 gallons of gasoline per week.
This confirms (ii) statement
The amount spend on gasoline per mile =
= $0.17
This confirms (i) statement
The number of miles per gallon of gasoline =
= 14.68 miles
The statement (iii) is false.