Cube root of 125, so
factor it, and take groups of 3 for equal sets.
= 5
The standard equation of the circle is x² + y² + 8x - 9 = 0 if the circle with center at (-1,-4) that passes through the point (-4,0).
According to the question,
The circle with center at (-1,-4) that passes through the point (-4,0).
To find the radius of the circle:
Radius r = √[(-4 - (-1))² + (0- (-4))²]
=√(-4+1)² + (4)²
=√9+16
=√25
=5.
In order to find the standard equation of the circle is
(x - (-4))² + (y - (0))² = (5)²
(x + 4)² + (y )² = 25
x² + 8x + 16 + y² = 25
x² + y² + 8x + 16 = 25
x² + y² + 8x = 25 - 16
x² + y² + 8x = 9
x² + y² + 8x - 9 = 0
Hence, the standard equation of the circle is x² + y² + 8x - 9 = 0.
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Answer:
By arranging the data set.
Week one has the highest range of 55 minutes
Step-by-step explanation:
Range = highest data minus lowest data.
So lers arrange our data and determine the range of each week
Week 1
Sunday 85, monday 35, Tuesday 50, Wednesday 60, Thursday 30, Friday 35, Saturday 50
Acsending order
=30, 35, 35,50,50 ,60,85
Range = 85-30 = 55
Week 2
Sunday 55 ,Monday 50, Tuesday 45 Wednesday 45 ,Thursday 40 ,Friday 30 ,Saturday 50
Acsending order
= 30,40,45,45,50,50,55,
Range=55-30 = 25
Week one has the highest range of 55 minutes
First answer is Yes , second one is No
Answer: 5760
Explanation: 12,000 x 8 x .06= 5760
