Answer: I believe it is D..
Answer:
4
−
4
+
8
2
+
8
Step-by-step explanation:
Answer:
The average rate of change for f(x) from x=−1 to x = 4 is, 1
Step-by-step explanation:
Average rate A(x) of change for a function f(x) over [a, b] is given by:
As per the statement:
we have to find the average rate of change from x = -1 to x = 4
At x = -1
and
at x = 4
Substitute these in [1] we have;
⇒
⇒
Simplify:
A(x) = 1
Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1
Answer:
???????
Step-by-step explanation:
triangles add to 180 degrees
lets call the unknown angle y
82 + x + y = 180
we also know that y + (2x-20 ) = 180 because it is a straight line
lets solve this for y
y + (2x-20 ) = 180
subtract (2x-20) from each side
y = 180 - (2x-20)
y = 180 - 2x + 20
y = 200 -2x
substitute this in the triangle equation
82 + x + y = 180
82 + x + 200 -2x = 180
combine like terms
282 -x = 180
subtract 282 from each side
-x = -102
multiply by -1 on each side
x = 102
the exterior angle is 2x-20
exterior angle is 2(102) -20
exterior angle is 204-20
exterior angle is 184
This is impossible.
There is a mistake with this problem
The triangle is not a triangle. Angle y would be negative. y=-4
Answer:
The ship is located at (3,5)
Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III
Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II
To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.
Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9
We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3
Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5
Based on the above, the position of the ship is (3,5).
Hope this helps :)
