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3 years ago

Ben uses a compass and straightedge to bisect PQ, as shown:

Mathematics

1 answer:

Strike441 [17]3 years ago

3 0

Option B is correct. After drawing and measuring the length of a straight line say PQ, it is important that we must be open the compass to a width greater than half of PQ for us to be able to conveniently create arcs above the line segment.

Construction is a way of creating an exact measurement of a figure or an object. Some of the instruments used in construction include:

Ruler
Pencil
Protractor
Divider

During the construction on bisection of angles, after drawing and measuring the length of a straight line say PQ, it is important that we must be open the compass to a width greater than half of PQ for us to be able to conveniently create arcs above the line segment.

If the radius is not more than half the length of the line it might be quite difficult to make the necessary arc both above and below the line.

Learn more here: brainly.com/question/7825406

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F(x)=(x-6)e^-3x find the interval in which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema

Over [174]

$\bf f(x)=(x-6)e^{-3x}\\\\
-----------------------------\\\\
\cfrac{dy}{dx}=1\cdot e^{-3x}+(x-6)-3e^{-3x}\implies \cfrac{dy}{dx}=e^{-3x}[1-3(x-6)]
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\cfrac{dy}{dx}=e^{-3x}(19-3x)\implies \cfrac{dy}{dx}=\cfrac{19-3x}{e^{3x}}$

set the derivative to 0, solve for "x" to get any critical points
keep in mind, setting the denominator to 0, also gives us critical points, however, in this case, the denominator will never be 0, so... no critical points from there

there's only 1 critical point anyway, and do a first-derivative test on it, check a number before it and after it, to see what sign the derivative has, and thus, whether the graph is going up or down, to check for any extrema

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3 years ago

32=32+? I need help its annoyings

Andreyy89

Answer:

Step-by-step explanation:

32=32+0

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3 years ago

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Mark sold x pens for $2 each. He received less than $80 from the sale. Find the greatest possible number of pens he sold

Crank

$80-$2= $78 is the number less than $80, since the pens cost $2

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If 3a=27, what is the value of 6a+3?

Luba_88 [7]

57 because 3 times 9 equals 27

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3 years ago

Find an equation of the line through (2,6) and parallel to y=2x+3

Setler [38]

Step-by-step explanation:

We first Find the Slope of the line y=2x+3

The Slope Intercept Form of the equation of a given line is:

y=mx+c

where m is the Slope of that line, and c is the Y intercept.

For this line, the Slope is 2

So the Slope of the line PARALLEL to y=2x+3 will also be 2. And we are given that it passes through the point (2,6)

The Point-Slope form of the Equation of a Straight Line is:

(y−k)=m⋅(x−h)

m is the Slope of the Line

(h,k) are the co-ordinates of any point on that Line.

Here, we have been given the coordinates (h,k) of 1 point on that line as (2,6)

And the Slope m is 2

Substituting the values of h,k and m in the Point-Slope form, we get

(y−2)=(2)⋅(x−6)

(y−2)=2⋅(x-6)

y−2=2x -12

y=2x -12 +2

y=2x-10

The graph will look like

graph{y=2x -10 10 [10, -10, 5, - 5]}

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4 years ago