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GenaCL600 [577]
1 year ago
13

1. If a side started out with a side length of 11 and ended with a side length of 71 what is the dilation's scale factor? Write

your answer to the nearest hundredths place
2. You are planning a square garden, your original plan started out with each side of the garden being 16 feet long, your end plan changed the length of each side by 7 feet. What would be the scale factor comparing your original garden to your final result? Round answers to the nearest hundredth.

3. An image is dilated by a scale factor of n = 0.06 Which statement is true regarding the image of the dilation?

1. the image will be smaller than the pre-image

2. The image will be congruent to the pre-image

3. The image will be larger than the pre-image
Mathematics
1 answer:
jeka57 [31]1 year ago
6 0

Regarding dilation, it is found that:

1. The scale factor is of 6.45

2. The scale factor is of 1.4375.

3. the image will be smaller than the pre-image.

<h3>Dilation</h3>

A dilation is one type of transformation that is applied to images, in which the side lengths are multiplied by a constant called scale factor, changing the side lengths of the image.

In item a, the initial length was of 11 and the final length is of 71, hence the multiplier, which is the scale factor, is given as follows:

71/11 = 6.45.

In item b, the initial length was of 16 and the final length was of 23, hence the scale factor is given as follows:

23/16 = 1.4375.

For item 3, the multiplier is a number that is less than 1, meaning that the image is smaller than the pre-image.

More can be learned about dilation at brainly.com/question/3457976

#SPJ1

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Solve this system algebraically.
seraphim [82]
From y-2x+3=0 we have y=2x-3
So we can replace y by 2x-3 in the equation: 9x+2y=5
And we have 9x+2(2x-3)=5
Or 9x+4x-6=5
and 13x=5+6
Or x=11/13, then y=2x-3= 2. 11/13-3=22/13-3= -17/13

So we have the answer <span>{(11/13, -17/13)}</span>
4 0
3 years ago
During a recent eruption, the volcano spewed out copious amount of ash. One small piece of ash was ejected from the volcano with
nlexa [21]
For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0,   or, which is the same as -16t^2 + 368t = 0.Factor the left side to get  -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.
6 0
3 years ago
Y=−4(x+2) ^2 −1. Graph the equation
Kitty [74]

Answer:

4x^2+15

Step-by-step explanation:

1. multiply whole parenthesis by power of 2

2. gets you 4(x^2+4)-1

3.Multply and it gets you 4x^2+16-1 so it would be 4x^2+15 for your answer

4. throw that into your calculator and make sure its not on radian mode and then press graph

3 0
2 years ago
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
Alexandra [31]
Answer: y-axis.

Explanation:

The equation <span>r = 3 - 4 sin θ may be graphed using cartesian coordinates (i.e. x and y) or polar coordinates.

The logical way is to graph in polar coordinates. I did it using </span>a graphing software and obtained the attached graph.

Also, I attached the graph in cartesian coordinates.

Here you have a table that you can build by your self and use the pairs to draw the graph (either cartesian or polar coordinates).

<span> <span><span> θ (rad)    r = 3 - 4 sin θ </span> <span>

0               3 </span> <span>
π/8            2.61731657 </span>
<span> π/4            2.29289322 </span> <span>
3π/8          2.07612047
</span> <span> π/2            2
</span> <span> 5π/8          2.07612047 </span> <span>
3π/4          2.29289322 </span> <span>
7π/8          2.61731657 </span> <span>
π               3 </span> <span>
9π/8          3.38268343 </span> <span>
5π/4          3.70710678 </span> <span>
11π/8        3.92387953 </span> <span>
3π/2          4 </span> <span>
13π/8        3.92387953 </span> <span>
7π/4          3.70710678 </span> <span>
15π/8        3.38268343 </span> <span>
2π             3 </span> </span></span>

In both of the attached graphs you can see that the left side is equal to the right side, but the upper side is not equal to the bottom side.

Therefore, the graph is symmetric about the y-axis.





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