For the information given, a line segment of 4 inches can be drawn
<h3>How to illustrate the segment?</h3>
For the 'copy', you would measure the line drawn, and duplicate it to the right, measuring it to make sure it is the exact length of the first line.
To bisect the original line segment, measure the line with a ruler or other device, and calculate 1/2 distance from one end, mark it, measure from left end to mark, make sure right section is equal in length.
Draw an angle of 90 degree and label it to avoid confusion. Now use a scale to draw a ray and label the vertex point so we can know the point where to place compass. Use compass to draw an arc on angle. This angle will help you measure where to put the new point on our new angle.
Similarly draw the same arc on the new ray. This is the first step in finding the new point. Then, use compass to measure the difference between the two places where the arc meets the angle on angle.
Furthermore, use the measurements from the previous step to draw another arc. This step is to help establish a point where the two arcs meet. Now draw a point where the two arcs met and drew a line through it.
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Answer: 8x - 32
Work:
Simplify using the distributive property of multiplication.
8(x) = 8x
8(-4) = -32
Simplified expression: 8x - 32
Answer:
Below, you can see the graph of the function:
f(x) = x + cos(k*x)
for different values of k, as follows:
red: k = 1
green: k = 2
orange: k = 0.
Now let's find the values of k such that our function does not have local maxima nor local minima.
First, remember that for a given function f(x), the local maxima or minima points are related to the zeros of the first derivate of f(x).
This means that if:
f'(x0) = 0.
Then x0 is a maxima, minima or an inflection point.
Then if a function is such that the f'(x) ≠ 0 , ∀x, then this function will not have local maxima nor minima.
Now we have:
f(x) = x + cos(k*x)
then:
f'(x) = 1 - k*sin(k*x)
This function will be zero when:
1 = k*sin(k*x)
1/k = sin(k*x)
now, remember that -1 ≤ sin(θ) ≤ 1
then if 1/k is smaller than -1, or larger than 1, we will not have zeros.
And this will happen if -1 < k < 1.
1/4 off means 0.25 * 28
7
Sale price = 28-7
= 21
Answer:
exactly 12:00 midnight on a 24hour clock is represented as 00:00