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Y- intercept is a point where any graph crosses the y- axis.
X- intercept is a point where any graph crosses the x- axis.
This means the coordinate of the point of intersection will always have the x point as 0. So any point of the form ( 0, y) is the y- intercept. Any point of the form (x,0) is the x- intercept.
Given point are :
(0,-6) : y intercept
(-2,0) : x intercept
(-6,0): x- intercept
(0,-2): y- intercept
Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
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Work Shown:
Given info
dS/dt = 18 cm^2/min is the rate of change of the surface area
r = 6 cm is the radius, from the fact that the diameter is 12 cm
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Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius
S = 4*pi*r^2
dS/dt = 2*4*pi*r*dr/dt
dS/dt = 8*pi*r*dr/dt
18 = 8*pi*6*dr/dt
18 = 48*pi*dr/dt
48pi*dr/dt = 18
dr/dt = 18/(48pi)
dr/dt = (9*2)/(24*2pi)
dr/dt = 9/(24pi)
The units are cm per minute, which can be written as cm/min.
Red Given:
- Length of base is "6cm50mm"
- length of base= 11cm
- Height is "400mm"
- height= 40 cm
Red Solution:
- Area of triangle =1/2bh
- ar.(triangle)=1/2(11cm)(40cm)
- ar.(triangle)=(11cm)(20 cm)
Orange ar.(Triangle)=220cm^2
Answer: x=40 y=140
Step-by-step explanation:
To work out x:
The angles in a triangle always add up to 180.
You already have one angle which is 50 the bottom left angle is a right angle and right angles always equal 90. To work out x, do 50+90=140 then do 180-140=40.
To work out y:
Angles on a straight also add up to 180.
So as you have figured out what x is (40) you would take it away from 180 to give you y.
180-40=140
Hope this helps :)
