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:
-8
Step-by-step explanation:
Remember pemdas
7 - 3*(10:2):1 =
7-3*5:1=
7-15:1=
7- 15=
-8
Answer:
Rewrite the expression 10(15 – 6) using the distributive property of subtraction.
A) 10(6) – 10(15)
B) 10(9)
C) 10(6 –15)
D) 10(15) – 10(6)
Show/Hide Answer
A) 10(6) – 10(15)
Incorrect. Here a greater number would be subtracted from a lesser number, and the answer would not be a whole number. The correct answer is 10(15) – 10(6).
B) 10(9)
Incorrect. The numbers in parentheses were subtracted before the number 10 could be distributed. The correct answer is 10(15) – 10(6).
C) 10(6 –15)
Incorrect. You probably used the commutative law instead of the distributive property. The correct answer is 10(15) – 10(6).
D) 10(15) – 10(6)
Correct. The 10 is correctly distributed so that it is used to multiply the 15 and the 6 separately.
Step-by-step explanation:
2km=2 kilometer
kilo=1000 so 2 km=2000m
25m
2500cm
cm=centimeter=1/100 of a meter
so
2500cm=25m
mm=milimeter=1/1000 meter
so
3000mm=3m
so the longets is obviously 2000m or 2km
Answer:
At these rates Sydney read 10 pages per hour more than Zander.
Step-by-step explanation:
Zander read 
pages in 
of an hour.
Therefore, pages read by Zander in 1 hour = 
= 
= 
= 55 pages per hour
Sydney read 
pages in 
of an hours.
Pages read by Sydney in 1 hour = 
= 
= 65 pages per hour
Therefore, number of pages read more by Sydney as compared to Zander,
= 65 - 55
= 10 pages per hour
At these rates Sydney read 10 pages per hour more than Zander.
