Simplified: 
Restrictions: x CANNOT be 0 because then the denominator would become 0 and would not be possible
You need to add a picture in order for others to understand what you are referring to.
Answer:
-34
Step-by-step explanation:
a + b = -6
x + y + z = -2
We want 8a so multiply the first equation by 8
8( a + b) = -6*8
8a+8b = -48
We also want -7x so multiply the second equation by -7
-7(x + y + z) = -2*-7
-7x-7y-7z = 14
Add the two equations together
8a+8b = -48
-7x-7y-7z = 14
-------------------------
8a+8b-7x-7y-7z = -34
Rearranging the order
8a - 7x - 7z - 7y + 8b = -34
Answer: The distance from the campsite to the foot of the mountain is 2310 ft (approx)
Step-by-step explanation: We have been given that the scout on the mountain top has spotted a campsite and he did so while looking down from a 33° angle of depression. If we label his position as point A, the foot of the mountain as point B and the campsite as point C, then it means the scout has formed an angle of 57° between point A and point B. Now we have a right angled triangle ABC with angle A measuring 57°
Using the trigonometrical ratio of tangent
Tan A = opposite/adjacent
Tan 57 = BC/1500
1.5399 = BC/1500
When you cross multiply both sides you have
1.5399 × 1500 = BC
2309.85 = BC
Approximated to the nearest foot,
BC = 2,310 ft
Using translation concepts, it is found that the transformations are as follows:
- In y = -f(x÷2) - 5, the function is reflected over the x-axis, horizontally stretched by a factor of 2 and shifted 5 units down.
- In y = f(-x) + 5, the function is reflected over the y-axis and shifted 5 units up.
<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 y = -f(x÷2)-5, we have that:
- f(x) is multiplied by -1, hence it was reflected over the x-axis.
- x is divided by two inside the domain, hence the function was horizontally stretched by a factor of 2.
- 5 is subtracted from f(x), hence the function was shifted 5 units down.
In y = f(-x) + 5, we have that:
- x is multiplied by -1 inside the domain, hence the function was reflected over the y-axis.
- 5 is added to f(x), hence the function was shifted 5 units up.
More can be learned about translation concepts at brainly.com/question/4521517
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