The equation of a circle with center at (h,k) is
(x-h)^2+(y-k)^2=radius^2
given
(x-(-1))^2+(y-3)^2=9
center is (-1,3)
first option
Answer:
x - 2y + 8 = 0
Step-by-step explanation:
that is the procedure above
Answer:
x > -1.25
Step-by-step explanation:
First, let's start with the left side of the equation.
1) multiply 0.2(x + 20). You will get 0.2x+4
So you have 0.2x+4-3
Simplify that, you will have 0.2x+1
Now, we need to isolate the variable (bring all terms with "x" to one side), and move everything else to another side. Remember that when you bring something to the other side, you must change the sign in front of the term (for example, bringing 2x to another side would change it to -2x. another example is if you were to bring -2 to another side, you would have to change it to 2.)
2) 0.2x+6.2x>-7-1 Moved like terms to one side.
6.4x>-8 I combined the terms here!
x > -1.25 Simplified!
Let me know if you need anything else :)
<span>4 cm / 1 year x 10 mm / 1 cm x 1 year / 365 days </span>
Answer:
38%
Step-by-step explanation:
Given that X,the hours per week the music student practice follow a normal distribution.
X:N(8,4)
We have to find the percentage of students who practice between 6 and 10 hours.
6<x<10 implies converting to z
We know z = (x-mean)/sigma = (x-8)/4
Hence 6<x<10 is equivalent to (6-8/4)<Z<(10-8/4)
= |z|<0.5
From std normal table we find this area equals = 0.1915+0.1915
=0.3830 = 0.38 (rounded off)
Hence required percentage = 0.38x100 = 38%
