when x = 3,
y = -1
F(x) = 3(3) - 10 = 9 - 10 = -1
Answer:
4/3
Step-by-step explanation:
By definition, for a right triangle with an internal angle x
tangent x = length of opposite side / length of adjacent side
in this case for angle F, the opposite side is DE and the adjacent side is DF
hence tan F = 8/6 = 4/3
Using translation concepts, it is found that the correct statement about h(x) is:
The function is decreasing on the interval (0, ∞).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is:
Which is increasing on (0, ∞).
After the translation, the function is:
It was multiplied by a negative number, which means that it was reflected over the x-axis, and it will be decreasing on the interval (0, ∞).
More can be learned about translation concepts at brainly.com/question/4521517
Answer: Approximately 49 degrees
A slightly more accurate angle value is about 49.458398 degrees.
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Explanation:
Draw a right triangle as shown in the diagram below. The horizontal leg is 13 ft and the hypotenuse is 20 ft. The angle between these two sides is what we want to find.
With this reference angle, the adjacent side is 13 and the hypotenuse is 20. We use the cosine ratio to tie the sides together with this angle.
Let x be the unknown angle.
cos(angle) = adjacent/hypotenuse
cos(x) = 13/20
cos(x) = 0.65
x = arccos(0.65)
x = 49.4583981264954
x = 49
I'm rounding to the nearest whole number since the given values (13 and 20) are also whole numbers. If your teacher provides other rounding instructions, then be sure to follow that of course.
The angle of elevation is roughly 49 degrees. Make sure your calculator is in degree mode. The notation "arccos" stands for "arccosine" and it's the same as inverse sine.
The distance between the horizontal legs be the distance between the 'x' values '-5' and '2'. 2+5=7 (It is +5 because the distance between -5 and 0 is 5*)
The distance between the horizontals is 7
Same with the vertical points, as the distance is 2. (1+1=2)
Considering that the pythagorean theorem is the a^2+b^2=c^2, and 'a' and 'b' are the sides, then you plug in '7' and '2', making the equation 7^2+2^2=c^2
49+4=c^2
53=c^2
c=sqrt(53)
Hope this helps.