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AnnyKZ [126]
3 years ago
14

What is the location of point D? (3, -5) (-5, 3) (-5, -3) (3, 5)

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
7 0

point D is located at (3, -5)

Elis [28]3 years ago
3 0
First you wanna look at the x axis and it is a 3 then you would look at the y axis and it is a
–5
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Sally fills her car with 12 gallons of gas. She goes on a journey and ends up with 7.5 gallons left in the tank. What is the per
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5 0
3 years ago
Harmonic mean if a number h such that (h-a)/(b-h)=a/b Prove h is H(a,b) iff satisfies either relation a. (1/a)-(1/h) = (1/h) - (
Fudgin [204]
A.

\displaystyle\frac1a-\frac1h=\frac1h-\frac1b
\implies\displaystyle\frac{h-a}{ah}=\frac{b-h}{bh}
\implies\displaystyle\frac{h-a}{b-h}=\frac{ah}{bh}
\implies\displaystyle\frac{h-a}{b-h}=\frac ab

b.

\displaystyle h=\frac{2ab}{a+b}
\displaystyle\implies\frac{h-a}{b-h}=\frac{\frac{2ab}{a+b}-a}{b-\frac{2ab}{a+b}}
\displaystyle\implies\frac{h-a}{b-h}=\frac{2ab-a(a+b)}{b(a+b)-2ab}
\displaystyle\implies\frac{h-a}{b-h}=\frac{ab-a^2}{b^2-ab}
\displaystyle\implies\frac{h-a}{b-h}=\frac{a(b-a)}{b(b-a)}
\displaystyle\implies\frac{h-a}{b-h}=\frac ab

The other direction can be proved by following the manipulations in the reverse order.
7 0
3 years ago
Find 4ab when (a+b)=15 and (a-b)=12
Volgvan
A + b = 15 ..... eq 1
a – b = 12 ...... eq 2

So a = 15 – b
Substitute in eq 2 :

15 – b – b = 12
15 – 2b = 12
–2b = 12 – 15
b = 1.5

So a = 15 – 3/2 = 13.5

4ab = 4 x 13.5 x 1.5 = 81
4 0
3 years ago
Read 2 more answers
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