Answer: rational
a rational number is a number that can be expressed by a quotient or a fraction
Solve the equation for
t
t
by finding
a
a
,
b
b
, and
c
c
of the quadratic then applying the quadratic formula.
t
=
10
−
h
+
√
h
2
−
20
h
+
160
10
t
=
10
-
h
+
h
2
-
20
h
+
160
10
t
=
10
−
h
−
√
h
2
−
20
h
+
160
10
Answer:
Step-by-step explanation:
Let's say the width is x. If the length is 3 meters more than the width, the the length is x+3.
A rectangle has 4 sides. 2 widths and 2 lengths. If the perimeter is 26 meters, you can plug in your expressions for the width and the length to solve for x.
2(x+3) +2(x)=26
2x+6+2x=26
4x+6=26
4x=20
x=5.
If x=5, that means that your with is 5 meters, and your length is 8 meters (5+3)
Answer: A) 4.8 CM
Step-by-step explanation:
Answer:
Circular paraboloid
Step-by-step explanation:
Given ,
![r(s,t)=ssin4t,s^2,scos4t](https://tex.z-dn.net/?f=r%28s%2Ct%29%3Dssin4t%2Cs%5E2%2Cscos4t)
Here, these are the respective
axes components.
- <em>Component along x axis
</em>
- <em>Component along y axis
</em>
- <em>Component along z axis
</em>
We see that , from the parameterised equation , ![r_i^2+r_k^2=s^2sin^24t+s^2cos^24t\\r_i^2+r_k^2=s^2\\r_i^2+r_k^2=r_j](https://tex.z-dn.net/?f=r_i%5E2%2Br_k%5E2%3Ds%5E2sin%5E24t%2Bs%5E2cos%5E24t%5C%5Cr_i%5E2%2Br_k%5E2%3Ds%5E2%5C%5Cr_i%5E2%2Br_k%5E2%3Dr_j)
This can also be written as :
![x^2+z^2=y](https://tex.z-dn.net/?f=x%5E2%2Bz%5E2%3Dy)
This is similar to an equation of a parabola in 1 Dimension.
By fixing the value of z=0,
<u><em>We get
which is equation of a parabola curving towards the positive infinity of y-axis and in the x-y plane.</em></u>
By fixing the value of x=0,
<u><em>We get
which is equation of a parabola curving towards positive infinity of y-axis and in the y-z plane. </em></u>
Thus by fixing the values of x and z alternatively , we get a <u>CIRCULAR PARABOLOID. </u>