Answer:
a. x² +4y² +4z² = 1
b. x² +4y² +z² = 1
Step-by-step explanation:
a. In "intercept form", the given equation can be written as ...
(x/1)² + (y/(1/2))² = 1
When the ellipse is revolved around the x-axis, the z-intercept will match the y-intercept, so the equation becomes ...
(x/1)² + (y/(1/2))² + (z/(1/2))² = 1
x² +4y² +4z² = 1
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b. Likewise, revolving the figure around the y-axis will make the z-intercept the same as the x-intercept. That equation is ...
x² + 4y² +z² = 1
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See the attachments. The first shows revolution about the x-axis; the second shows revolution about the y-axis.
This is the net of a rectangular prism, so the surface area can be found with the formula: SA=2lw+2wh+2lh
In this case,
l=10.5
w=6.4
h=4
Now, we can plug these numbers into the equation:
SA= (2)(10.5)(6.4) + (2)(6.4)(4) + (2)(10.5)(4)
SA= 134.4 + 51.2 + 84
SA = 269.6 cm
Therefore, the answer is D.
Hello,
-3|a-1|=-15
==>|a-1|=5
==>a-1=5 or -a+1=5
==>a=6 or a=-4
Sol={-4,6}
Let y equal to
the total fare and x is the mile of taxi ride. So the equation is
Y = 0.55x + 1.75
Since Susie has
$10 to spend for a taxi cab, so he can have
10 = 0.55x +
1.75
X = 15 miles of
taxi ride
So the system of
inequality is
10 < 0.55x +
1.75
<span>X > 2</span>
The answer to your questions are......
1.
B. 8........(8 + 7)(8 - 8) = 0
C. -7........(-7 + 7)(-7 - 8) = 0
2.
A. 1/3.......(3*1/3 - 1)(5*1/3 + 20) = 0
C. -4.......(3*-4 - 1)(5*-4 + 20) = 0
Hope this helps! :)
