Step-by-step explanation:
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Answer:
.
Step-by-step explanation:
The equation of a circle of radius
centered at
is:
.
.
Differentiate implicitly with respect to
to find the slope of tangents to this circle.
![\displaystyle \frac{d}{dx}[x^{2} + y^{2}] = \frac{d}{dx}[25]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E%7B2%7D%20%2B%20y%5E%7B2%7D%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B25%5D)
.
Apply the power rule and the chain rule. Treat
as a function of
,
.
.
.
That is:
.
Solve this equation for
:
.
The slope of the tangent to this circle at point
will thus equal
.
Apply the slope-point of a line in a cartesian plane:
, where
is the gradient of this line, and
are the coordinates of a point on that line.
For the tangent line in this question:
,
.
The equation of this tangent line will thus be:
.
That simplifies to
.
Answer:
4.09
Step-by-step explanation:
Let's see what we can get by dividing 625 by 5, as it ends with a 5:
625/5 = 125
So we have 5 as one of our factors. Let's divide again by 5:
125/5 = 25
Our current prime factors now are 5 and 5, but we aren't finished. Divide again by 5:
25/5 = 5
Now we know that the prime factorization of 625 is 5 * 5 * 5 * 5, which can also be shown as 5⁴.
<h3>Answer:</h3>
Mean: 17.2
Median: 18
Mode: 18
<h3>Solution:</h3>
Mean: The sum of all observation divided by several observation
- 20+18+13+17+18=86
- 86÷5=
- 17.2
Median:it is the middlemost observation of data arraged in increasing or decreasing order of values
- (13,17,18,18,20)
- (17,18,18)
- (18)
Mode:it is the value that occurs frequently in a set of data
Hope it helps