Mathematics, 11.01.2021 23:50 thexgar

# AADE and AABC are similar. Which best explains why the slope of the line between
points A and D is the same as the slope between points A and B?

The triangles are similar, so the sides are proportional:

DE BC

ΑΕ

Ac. Therefore, the slope of AD is the same as the slope

of AB

В.

Points A, D and B are on the hypotenuses of similar triangles.

Therefore, AD = AB, so the slope of AD is the same as the

slope of AB

D

Ą

X

The triangles are similar, so the sides are proportional:

AE = AC and DE = BC. Therefore,

DE BC

AE AC:

so the slope of

AD is the same as the slope of AB.

E

The triangles are similar, so the sides have equal lengths.

Therefore, AD = DB, so the slope of AD is the same as the

slope of AB

Answers: 1

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The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Answers: 1

AADE and AABC are similar. Which best explains why the slope of the line between
points A and D is...

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