-25(x-4)=-55(x-10)
-25x+100 = 55x-550 |+25x
100 = 80x-550 |+550
650 = 80x | /80
65/8 = x
x = 8 1/8
C
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:
I am guessing Point D is the point in the middle of the rectangle.
x = 7.5
Step-by-step explanation:
DV is half of 66
DV = 33
33/4.4 = 7.5
Divide 34.65 by 100 take your answer times that by 23 that should be your answer
Answer:
f(- 6) = 70
Step-by-step explanation:
To evaluate f(- 6) , substitute x = - 6 into f(x)
f(- 6) = 2(- 6)² - 2 = 2(36) - 2 = 72 - 2 = 70