Answer:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is 
.
We know that the circle is tangent to the 
axis at 
That means the x coordinate of the center has to be 
, as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is 
and a point on the edge of the circle (the tangent point) which is . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is 
where 
is the center and 
is the radius. When we put the numbers in: we get 
which can be simplified into which is the answer.
Step-by-step explanation:
Step-by-step explanation:
let width be "w"
given,length of rectangle is 3 units greater than its width
length= w+ 3
perimeter of rectangle= 2( l+ b)
= 2[( w+3)+ w]
= 2(w to the power of 2 + 3w)
= 2w to the power of 2 + 6w
is the answer
Answer: 7:35 a. M
Step-by-step explanation:
Given that:
Snooze on alarm = 5 minutes
Snooze on cellphone = 7 minutes
If both activates at 7:00 a. M
Time at which both will activate again ;
Obtain the Lowest Common Multiple of 5 and 7
_5 __|5 ___|7
_7__ |1 ___|7
____ |1 ___| 1
Lowest common multiple = (5 * 7) = 35
Hence, both alarms will sound together again after 35 minutes = 7:00a.m + 35 minutes = 7:35 A. M
Answer:
54 is the volume
Step-by-step explanation:
Multiply 9 * 2 * 3 = 54
<span>The answer is 60.
Explanation<span>:
In mathematics, the word "of" indicates multiply. This means we would multiply 2/3 * 90.
We can write 90 as a fraction by putting it over 1, which gives us 2/3(90/1).
To multiply fractions, we multiply straight across: (2*90)/(3*1) = 180/3 = 60.</span></span>
