Answer:
The rule of dilation is D₀,₄. It means dilation by scale factor 4 with center of dilation is origin. The length of OB' is 3 units. therefore, the answer is 3 units
Step-by-step explanation:
Hello! The graph of each linear equation is a set of unconnected points. The thing is that with a solid line, you can have things in-between whole numbers. However, you can’t have a fraction of a movie. Dotted points show that you can’t have in between values and that only whole quantities count.
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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The function increases in the interval (-∞, -3) and the function also increases in the interval (-1,∞) .
The given function is of the form
f(x) = x³ + 6x² + 8x
Now we take the first differentiation of the function
f'(x) = 2x² + 12x + 8
f'(x) = 2 (x² + 6x + 9) -10
f'(x) = 2(x+3)² - 10
Therefore at x = -3 , f'(x) = -10.
Hence the function is increasing in the interval of (-∞, -3)
Again f'(x) = 2x² + 12x + 8 , so after first differentiation we get :
That the function is also increasing in the interval (-1,∞)
Now for the interval (-4,-2), we can say that the graph of the function is positive as the y value increases and then decreases but all y values are positive as illustrated in the graph.
In the interval (0,∞) the function is strictly increasing and has positive values only.
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Answer:
The second bubble
Step-by-step explanation:
In a 30 60 90 triangle as shown here a is always 1/2 the hypotenuse (Which the hypotenuse is 6) and then just add 
to the end of it to get b
<em>So, lets demonstrate</em>
a = 1/2 * 6 = 3
b = a* = a = 3
So,
a = 3
b = 3
