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3 years ago

Can anyone explain to me how I should do this?

Mathematics

1 answer:

Paul [167]3 years ago

5 0

Answer:

See below for the methods.

Step-by-step explanation:

Lengths of line segments between 2 given points are found using the following formula:

If the point are (x1, y1) and (x2, y2).

the length = √ [(x2 - x1)^2 + (y2 -y1)^2]

so for the question 2. b where the points are (2, 7) and (-3, -4):

the length of line segment = √ [ (-3-2)^2 + (-4-7)^2]

= √[ 5^2 + (-11)^2

= √25+121

=√146

= 12.08 to nearest hundredth.

3. The slope (gradient) of the line joining (x1, y1) and (x2, y2)

= (y2 - y1) / (x2 - x1).

For example:

2a.

The 2 points are (-4, 2) and (4, -2)

Gradient = ( -2 - 2) / (4 - (-4))

= -4/8

= -1/2.

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Step-by-step explanation:

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Answer / Step-by-step explanation:

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A toxic radioactive substance with a density of 7 milligrams per square centimeter is detected in the ventilating ducts of a nuc

uysha [10]

For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: decrease rate
t: time in years.
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7 = A * (0.5) ^ ((1/20) * t)
For t = 45 years we have:
7 = A * (0.5) ^ ((1/20) * 45)
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A = 7 / ((0.5) ^ ((1/20) * 45))
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the density of the substance when it was deposited 45 years ago was:
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