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.
The value of x in the proportion is 5 and 2/5
Answer:
The measure of side AB is 6√3 cm.
Step-by-step explanation:
The question is:
In the right triangle shown, ∠A = 30° and BC = 6. What is AB?
Solution:
Consider the right-angled triangle ABC below.
In the triangle:
∠A = 30°
∠B = 90°
BC = 6 cm
According to the trigonometric identities for a right-angled triangle the tangent of an angle is the ratio of the length of perpendicular side to the length of the base.
That is for angle θ° the value of tan θ° is:
In the triangle ABC, the perpendicular side is side BC and the base is AB.
Compute the length of side AB as follows:
The value of tan 30° is,
The value of side AB is:
Thus, the measure of side AB is 6√3 cm.
Answer:
just divide 18 by 1920 duh
Step-by-step explanation:
Answer:
2.1275 is 2.12747677748 rounded to the nearest ten-thousandth.
Step-by-step explanation:
Since the hundred-thousandth place is 5 or above, we would round the ten-thousandths place up. THis makes the number 2.1275.