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Answer fast exam tomorrow experts if you can

Solve this:$If\frac{{x}^{2}+{y}^{2}+{z}^{2}-100}{xy+yz+zx}=-2andx+y=3zthenfindthevalueofz.$

Q.7. $\left({12}^{2}-{5}^{3}\right)\times \frac{{\left(-1\right)}^{20}}{19}$ equals

(a) 0

(b) 1

(A) -4/5

(B) -3/7

(C) -2/9

(D) 9/-11

(E) None of these

Can you please be a bit quick

i want answer for d and e , with explanation

Is anyone is free to talk with me

then prove that

1/z=1/x+2/y

Q45. If 5

^{x}= 3^{y}= 45^{z}, prove that $\frac{1}{z}=\frac{1}{x}+\frac{2}{y}$.Q.(ii) $\frac{3}{4+\sqrt{3}}$

Q51. If sum of the both diagonals are same, find the value of X.

(A) $\frac{6}{23}$ (B) $\frac{3}{23}$

(C) $\frac{4}{23}$ (D) $\frac{2}{23}$

Rational No.s Can Be Infinite To some Extent Right ?

$\mathit{Q}\mathbf{}\mathbf{7}.Simplify:5\sqrt{3}+2\sqrt{27}+\frac{1}{\sqrt{3}}$