A glacier in Alaska moves about 29.2 meters a day.
1 answer:
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The point L is plotted at A. (1, -1).
Step-by-step explanation:
Step 1:
First, we plot the coordinates of both triangles.
The coordinates of the triangle EFG are as follows;
E = (-4, 4), F = (-4, -2), and G = (2, -2).
The coordinates of triangle JKL are;
J = (-2, 2), K = (-2, -1), and L = (x, y).
Step 2;
Next, we need to find the distances between at least two coordinates for both triangles.
The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.
The distance of EF
The distance of JK
The distance of FG
The distance of KL = (Scale factor)(the distance of FG),
The distance of KL
Step 3;
So the point L is 3 points away from point k on the x axis.
(x, y) = (-2+3, 1) = (1, -1).
So point L is plotted at option A. (1, -1).
Answer:
1125 m
Step-by-step explanation:
Given equation:
where:
- h = height (in metres)
- t = time (in seconds)
<u>Method 1</u>
Rewrite the equation in vertex form by completing the square:
The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point). As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point. Therefore, the maximum height is the y-value of the vertex: 1125 metres.
<u>Method 2</u>
Differentiate the function:
Set it to zero and solve for t:
Input found value of t into the original function and solve for h:
Therefore, the maximum height is 1125 metres.