Answer:
Orion's belt width is 184 light years
Step-by-step explanation:
So we want to find the distance between Alnitak and Mintaka, which is the Orions belts
Let the distance between the Alnitak and Mintaka be x,
Then applying cosine
c²=a²+b²—2•a•b•Cosθ
The triangle is formed by the 736 light-years and 915 light years
Artemis from Alnitak is
a = 736lightyear
Artemis from Mintaka is
b = 915 light year
The angle between Alnitak and Mintaka is θ=3°
Then,
Applying the cosine rule
c²=a²+b²—2•a•b•Cosθ
c² =736² + 915² - 2×, 736×915×Cos3
c² = 541,696 + 837,225 - 1,345,034.1477702404
c² = 33,886.85222975954
c = √33,886.85222975954
c = 184.0838184897 light years
c = 184.08 light years
So, to the nearest light year, Orion's belt width is 184 light years
?.?.......?????????????........????????????
Answer:
The profit decreases by $ 375 for every $ 1 increase in the selling price.
Step-by-step explanation:
From the definition of the secant line we get that the average rate of change of
, where
is the selling price of the product, measured in dollars per unit, is:
(1)
Now we evaluate the function at each bound:
x = 50


x = 55


Then, the average rate of change is:


Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.
Answer:
Step-by-step explanation:
Th average rate of change is the slope of the secant line that goes through those 2 values of x. Of course, each value of x also has a value of y. The coordinates for these combinations of x's and y's are:
(-1, 5) and (4, 0). We can use the slope formula to find the average rate of change of this function without having to know what the function's equation is:

So the average rate of change, aka slope, between those 2 points is -1
<h2>
______________________________</h2><h2>
Solve for x | Solution and Explanation </h2>
______________________________________________
Hello! So...
We are given the following:
Solve for x.

====================
1. Group the like terms.
====================
2. Add similar elements (
).
====================
3. Subtract 23 from both sides.
====================
4. Simplify.
====================
5. Divide both sides by 4.
====================
6. Simplify.
(aka. Option A)
====================
Hope this helps!