Answer:
a
Step-by-step explanation:
it's non-linear
Answer:
Tom’s age is 7 years
Mary’s age is 13 years
Step-by-step explanation:
Since we do not know the ages, let’s represent the ages by variables at first.
Let m represent mary’s age will t represent Tom’s age.
Now, let’s proceed to have equations.
Adding square of Tom’s age (t^2) to mary’s age give 62
t^2 + m = 62 •••••••(i)
Adding square of mary’s age (m^2) to Tom’s age give 176
m^2 + t = 176 •••••••(ii)
Now, to get the individual ages, we will need to solve both equations simultaneously.
Solving both equations simultaneously without mathematical softwares can be a little hard.
By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.
By inputing these equations, we have the values of t to be 7 and m to be 13
And if we try to check by inspection, we can see that these values are actually correct.
7^2 + 13 = 62
13^2 + 7 = 176
2 kids cross, one brings the boat back, one parent crosses, the other kid brings the boat back, both kids cross again, one kid brings the boat back, other parent crosses, the other kid brings the boat back, both kids cross again, one kid brings the boat back, the fisherman crosses, the other kid brings the boat back, both kids cross again. the fisher man is on the side where the kids and parents are. he can take the boat. total trips 11.
she surveyed "x" amount, which is the 100%, but we also know that 180 is the 37.5%, so
![\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 180&37.5 \end{array}\implies \cfrac{x}{180}=\cfrac{100}{37.5}\implies 37.5x=18000 \\\\\\ x=\cfrac{18000}{37.5}\implies x=480](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccll%7D%20amount%26%5C%25%5C%5C%20%5Ccline%7B1-2%7D%20x%26100%5C%5C%20180%2637.5%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7Bx%7D%7B180%7D%3D%5Ccfrac%7B100%7D%7B37.5%7D%5Cimplies%2037.5x%3D18000%20%5C%5C%5C%5C%5C%5C%20x%3D%5Ccfrac%7B18000%7D%7B37.5%7D%5Cimplies%20x%3D480)
The equation
in standard form looks like
.
Given equation of sphere be
.
We are required to express the given equation in the standard form of the equation of sphere.
Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like
.
The given equation is
.
We have to break 22 which is in right side into various parts according to the left side of the equation.
![x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2Bz%5E%7B2%7D%20%2B2x-4y-6z%3D-1-4-9%2B36)
![x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2Bz%5E%7B2%7D%20%2B2x-4y-6z%2B1%2B4%2B9%3D36)
![x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B1%2B2x%2By%5E%7B2%7D%2B4-4y%2Bz%5E%7B2%7D%20%2B9-6z%3D36)
![x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%281%29%5E%7B2%7D%20%2B2%2A1%2Ax%2By%5E%7B2%7D%20%2B%282%29%5E%7B2%7D%20-2%2A2y%2Bz%5E%7B2%7D%20%2B%283%29%5E%7B2%7D%20-2%2A3z%3D36)
![(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}](https://tex.z-dn.net/?f=%28x%2B1%29%5E%7B2%7D%20%2B%28y-2%29%5E%7B2%7D%20%2B%28z-3%29%5E%7B2%7D%20%3D%286%29%5E%7B2%7D)
Hence the equation
in standard form looks like
.
Learn more about equations at brainly.com/question/2972832
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