Describe how to translate the graph of g(x) = ln x into the graph of f(x)= ln (-5)+5

Mathematics

1 answer:

bija089 [108]3 years ago

7 0

Answer:

Step-by-step explanation:

We know:

1. Replacing -x into x of an equations reflects the graph on the y-axis

2. If f(x) is a function, then f(x)+a is a vertically translated graph of the original graph, a units up

Looking at the original function of ln x and the transformed graph of ln(-x) +5, we see that we have replaced x with -x, which means it is a reflection across the y-axis.

Also, we have added a five after the function, so that means it is a vertical translation of 5 units up.

Looking at the answer choices, we see that B is the correct answer.

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△BCD is a right triangle. The length of the hypotenuse is 19cm. The length of one of the legs is 13 cm. What is the length of th

anastassius [24]

Answer:

13.86 to the nearest tenth.

Step-by-step explanation:

A right angled triangle has three sides and it also has three angles. One of the angles is always 90 degrees while the other two angles are complimentary angles. This means that they add up to give 90 degrees.

The longest side is called the hypotenuse.

One of the shorter side is called the opposite.

The other shorter side is called the adjacent.

From the information given,

The length of the hypotenuse = 19cm

The length of the opposite side = 13cm

The length of the adjacent side = xcm

Applying Pythagoras theorem,

Hypothenuse ^2 = adjacent^2 + opposite ^2

19^2 = x^2 + 13^2

x^2 = 361 - 169 = 192

x = √192 = 13.8564