We will need to shade the region above f(x) and the region below the function g(x).
<h3>How to transform the graph into the solution set?</h3>
We have:
f(x) = x² - 2
g(x) = -x² + 5
Both of these are already graphed, and we want to transform it into:
y > f(x)
y ≤ g(x)
The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x).
For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve.
Learn more about inequalities on:
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Answer:
<u> The distance between opposite corners of the windowpane is 8.5 inches (rounding to the nearest tenth).</u>
Step-by-step explanation:
1. Let's use the Pythagorean Theorem to find the distance between opposite corners of the windowpane:
With the information given, we have a right triangle with the distance between opposite corners of the windowpane as the hypotenuse and its sides of 6 inches as the width and length of the windowpane and as sides of the right triangle.
Distance between opposite corners of the windowpane ² = Width of the windowpane ² + Length of the windowpane ²
Replacing with the real values:
Distance between opposite corners of the windowpane ² = 6² + 6²
Distance between opposite corners of the windowpane ² = 36 + 36
Distance between opposite corners of the windowpane ² = 72
√ Distance between opposite corners of the windowpane² = √72
<u> Distance between opposite corners of the windowpane = 8.5 inches (rounding to the nearest tenth)</u>
So in the problem, the length of the chord there is the circumference of the tree. So in order to get the diameter of the tree, we must use the formula in getting the circumference of a circle that is stated as follows.
C = 2pi *Radius
so first we need the get the radius of the tree which represent by this formula:
Radius = C /2pi = 8/6.2832 = 1.2732 ft
Diameter = 2*radius = 2 * 1.27 32 = 2.5465 feet
In summary, the diameter of the tree is 2.565 feet.
Answer:
y= -5x/2+17/2.... (x is between -5/2)
slope intercept= mx+b
y= -5x/2+17/2
Step-by-step explanation:
Answer:
82
Step-by-step explanation
To find the number you divide 98.4 by 1.2
