3 years ago

23. solve for x: -5=45

Mathematics

1 answer:

yuradex [85]3 years ago

3 0

That's the answer for no 23

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An ant weighs 2 x 10^-3 grams, and a lion weighs 1 x 10^5. The lion's weight is 5 x 10^x times greater than the ant's weight. Wh

julsineya [31]

Answer:

x=7

Step-by-step explanation:

Information provided

Weight of ant= $2*10^{-3} grams$

Weight of lion= $1*10^{5}$ but units are not provided, assuming this unit is also grams

How many times lion's weight exceed an ant

$\frac {1*10^{5}}{2*10^{-3}}=50000000$

= $5*10^{7}$

Therefore, the value of x=7 if the unit for weight of lion is assumed to be same as unit for weight of an ant

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A(x, 1), B(5,3) and C(4,-3) are the vertices of triangle ABC. If AB=AC, find the value of x

Molodets [167]

$\\ \rm\longmapsto AB=AC$

$\\ \rm\longmapsto \sqrt{(x-5)^2+(1-5)^2}=\sqrt{(x-4)^2+(1+3)^2}$

$\\ \rm\longmapsto (x-5)^2+(-2)^2=(x-4)^2+4^2$

$\\ \rm\longmapsto (x-5)^2+4=(x-4)^2+16$

$\\ \rm\longmapsto (x-5)^2-(x-4)^2=16-4=12$

$\\ \rm\longmapsto x^2-10x+25-x^2+8x-16=12$

$\\ \rm\longmapsto -2x+9=12$

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$\\ \rm\longmapsto x=\dfrac{3}{-2}=-1.5$

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