Center of the circle: C=(3,8)=(h,k)→h=3, k=8
Radius of the circle: r=5
Standard form of the equation for the circle:
(x-h)^2+(y-k)^2=r^2
(x-3)^2+(y-8)^2=5^2
(x-3)^2+(y-8)^2=25
General for of the equation for the circle:
(x)^2-2(x)(3)+(3)^2+(y)^2-2(y)(8)+(8)^2=25
x^2-6x+9+y^2-16y+64=25
x^2+y^2-6x-16y+73=25
x^2+y^2-6x-16y+73-25=25-25
x^2+y^2-6x-16y+48=0
Answer: The general form of the equation for the circle is:
x^2+y^2-6x-16y+48=0
Answer:
y=-x^2 is just y=x^2 reflected over the x-axis. In other words, the parabola is upside-down.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the answer is C because √8 can be rewrite as 8^1/2
A is wrong because 8 is another number
B is wrong because 4 is not the square root of 8
D is wrong because 8^2 = 64
(6x+5)^2 because both brackets have to have a plus in the middle to make the 25 positive and (6x5)x2 equals 60
Answer:
602.50 hours
Step-by-step explanation:
Given that a manufacturing plant uses light bulbs whose life spans are normally distributed, with mean and standard deviation equal to 500 and 50 hours,
It was decided to replace the bulbs so that no more than 2% of the bulbs to burn out between replacement periods
i.e. we have to construct 98% confidence interval right tailed to get this.
Z value is 2.05 for this (Upper tailed 0.98 probability)
Hence margin of error 
The upper bound for this would be
So to keep below 2% the bulbs to burn out it should be replaced before 602.50 hours.
