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gtnhenbr [62]
4 years ago
5

Line segment XY is dilated to create line segment X'Y' using point T as the center of dilation.

Mathematics
1 answer:
laiz [17]4 years ago
8 0

Answer:

YT=12\ units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles XYT and X'Y'T are similar by AA Similarity Theorem

so

\frac{XT}{YT}=\frac{X'T}{Y'T}

substitute the given values

\frac{8}{YT}=\frac{6}{9}

YT=9(8)/6\\YT=12\ units

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Answer:

see below

Step-by-step explanation:

It is given that the roll of fencing is 36 ft long. Hence the perimeter of the fencing is 36 ft long.

Since the fence is to be rectangular,

Perimeter = (2 x Length ) + (2 x Width) = 36 feet

The quickest would be using calculus, but the most simple way (without using polynomials) would be to simply list the possibilities for Length and Width:

If we consider only half of the perimeter, i.e only 1 Length and 1 Width:

From the formula above,

(1/2) of Perimeter = Length  + Width = 18 feet

Given that the Length & Width are to be whole numbers AND that the sum of Length & Width adds up to 18, then the possible dimensions and area are as follows:

Assemble a table in the following format:

Length x Width = Area

18 x 1 = 18

17 x 2 = 34

16 x 3 = 48

15 x 4 = 60

14 x 5 = 70

13 x 6  = 78

12 x 7 = 84

11 x 8 = 88

10 x 9 = 90

9 x 10 = 90 (anything from here onward basically repeats the previous lines, so we ignore this line and any others that follow)

a) The possible dimensions are everything listed in the table above except the last line which is repeated

b) we can see plainly that the maximum area is 10ft x 9ft = 90 sq feetand the minimum area is 18ft x 1ft = 18 sq feet

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4 years ago
At what point does the line given by the following equation cross the y-axis?
QveST [7]
Pretty sure the answer is D:

Because the equation is in the format y=mx+c (c being the y intercept), we know that the y intercept (or where the line will cross the y axis) will be -9.

B also says -9 but we have to be careful because it states that the x axis is -9 rather than the y axis.

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ozzi

Answer:

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