Answer:
B. vertical stretch by 4, translate left by 5
Step-by-step explanation:
When the output of a function is multiplied by a factor, its graph is stretched vertically by that factor. So 4√x stretches √x vertically by a factor of 4. This knowledge by itself lets you select the correct answer choice, B.
When a value is subtracted from the independent variable, the graph is moved (translated) to the right by that amount. Here -5 is subtracted to get √(x+5) from √x. So the graph is translated to the left by 5 units (the opposite of right).
Taken together, these transformations stretch the function vertically by a factor of 4 and translate it left 5 units.
Answer: The correct answer is 18.478
Step-by-step explanation: In order to solve the problem of 4.25 is 23 percent of what number you need to divide 4.25 by .23.
It is solved using this equation:
4.25/.23 = 18.478
You can then double check your work by multiplying 18.478 x .23.
18.478 x .23 = 4.25
Answer:
(b) 1/3
Step-by-step explanation:
because it has 3 equal parts
We assume the figure DEFG has vertices labeled clockwise from the top, so that diagonal EG spans the distance between vertices where sides of different length meet. Then half that diagonal (12) will be one leg of two different right triangles.
One right triangle will have a hypotenuse of 20 and a leg of 12. Its other leg is found using the Pythagorean theorem as
√(20²-12²) = 16
The other right triangle will have a hypotenuse of 13 and a leg of 12. Its other leg is
√(13²-12²) = 5
Then the total length of diagonal DF is 16 + 5.
The length of the other diagonal, DF, is 21 cm.
Since there are 24 hours in a day:
192076 x 24 = 4609824
Times 5 = 23049120
The answer is 23,049,120.
Hope this helped! If you have any more questions or don't understand, please comment or DM me. :)