Let P (x,y) be any point on the x-axis. Then clearly, for all position of P we shall the same ordinate 0 or, y = 0. Therefore, the equation of x-axis is y = 0. If a straight line is parallel and below to x-axis at a distance b, then its equation is y = -b.
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:
Step-by-step explanation:
1. no-has decimal
2. yes, simplifies to -2
3. yes
4. yes
5. no-2.1
Answer:
18 hours
Step-by-step explanation:
There are 24 hours in a day and we have 5 weekdays per week.
15% of 24 hours
15/100×24
0.15×24
=3.6 hours
Mrs Miller spends 3.6 hours of each weekday traveling in her car.
There are 5 weekdays in a week to include: Monday, Tuesday, Wednesday, Thursday and Friday.
If she spends 3.6 hours per weekday
Then,
During the week, she will spend
3.6 hours× 5 weekdays
=18 hours
She will spend 18 hours per week traveling in her car.
