Add 4/10 to the bird’s current weight of 1 an 3/10...you get 1 and 7/10 pounds
(or 1 7/10)
50 divide to find the answer
Answer:
last one
Step-by-step explanation:
x = width
x+6 = length
Area = length times width
x(x + 6) =
+ 6x
+ 6<em>x = 114 (subtract 114 from both sides) </em>
<em />
<em> + 6x -114 = 0</em>
Answer:
n = 23
Step-by-step explanation:
Next time, please share the answer choices. Thank you.
n + 12 = 35 is the required equation.
Subtracting 12 from both sides, we get:
n = 23
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
.