How do I know if lines are perpendicular

2 answers:

8 0

You can tell if lines are perpendicular or not by seeing if meet in a right angle. A right angle is like a square, and the lines would have to be 90 degrees.

One example is when the two lines (horizontal and vertical) meet each other at the ends.

(You MUST make sure that they are directly horizontal and vertical. If not, they will either be acute or obtuse).

I hope this helped!

Rainbow [258]3 years ago

6 0

Answer:

When two lines are interested to from a right angel

Step-by-step explanation:

Formula

Y=-2X - 5 so the slope is -2.

Perpendicular have Opposite - reciprocal slopes so the slope of the line you want to find is 1/2

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The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the o

Korvikt [17]

Answer:

a) $k = 0.000124$

b) According to these data, the Shroud of Turin has around 760 years.

Step-by-step explanation:

The amount of carbon-14 is modeled by the following equation:

$C(t) = C_{0}e^{-kt}$

In which $C_{0}$ is the initial amount and k is the rate of decrease.

(a) Find the value of the constant k in the differential equation.

Half-life of 5595 years.

So $C(5595) = 0.5C_{0}$

$C(t) = C_{0}e^{-kt}$

$0.5C_{0} = C_{0}e^{-5595k}$

$e^{-5595k} = 0.5$

Applying ln to both sides

$-5595k = -0.69$

$k = 0.000124$

b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material. How old is the Shroud of Turin, according to these data?

This is t when $C(t) = 0.91C_{0}$