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Elanso [62]
3 years ago
6

Find the slope of the line

Mathematics
2 answers:
jeka57 [31]3 years ago
6 0
6/3 or 2/1 up 3 over 1
antoniya [11.8K]3 years ago
4 0
Y=\frac{2}{3}x
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Jessie draws triangle ABC on a coordinate grid. The slope of line segment AB is Jessie then transforms triangle
balu736 [363]

Answer:

1) Supports Jessie's Claim

2) Does Not Support Jessi's Claim

3) Supports Jessie's Claim

4) Does Not Support Jessi's Claim

Step-by-step explanation:

The given transformations are;

1) Rotation of 180° around the origin

For a rotation of 180° around the origin, either clockwise or anti clockwise, for a given coordinate of the preimage (x, y), the coordinate of the image is (-x, -y)

Therefore, whereby the slope of the preimage, given two points (0, 0) and (2, 2), = (2 - 0)/(2 - 0) = 1

For the image with the points (0, 0) and (-2, -2), we have;

(-2 - 0)/(-2 - 0) = 1

Therefore, the slope of the preimage and the image are equal

Therefore, supports Jessie's Claim

2) For a reflection across the line y = 2, we have

We note that the line y = 2 is parallel to the x-axis

For a reflection across the x-axis, for a preimage (x, y), we have the coordinates of the image (x, -y)

However for the reflection across the line y = 2, we have;

For a preimage, (x, y), the coordinate of the image is (x, -y+4)

Given two points, of the preimage (0, 0) and (2, 2), we have the image given as (0, 4) and (2, -2 + 4) = (2, 2);

The slope of the preimage is (2 - 0)/(2 - 0) = 1

The slope of the image is (2 - 4)/(2 - 0) = -1

The slope of the line of the preimage and the image are different

Therefore, does Not Support Jessi's Claim

3) For a translation up 1.25 units, we note that the difference in the y and x values of the coordinates of the preimage and the image will be equal when finding the slope, and therefore, the slope of the figure of the preimage and the slope of the figure of the image will be equal

Therefore, supports Jessie's Claim

4) For a reflection across the x-axis, a point on the preimage, with coordinates (x, y) will form a point on the image with coordinates (x, - y)

For a preimage with points (0, 0) and (2, 2), we have the image as (0, 0) and (2, -2)

The slope of the preimage is (2 - 0)/(2 - 0) = 1

The slope of the image is (-2 - 0)/(2 - 0) = -1

The slope of the line of the preimage and the image are different

Therefore, does Not Support Jessi's Claim

6 0
3 years ago
The table shows the distance Randy drove on one day of her vacation
horsena [70]
Given the table showing the distance Randy drove on one day of her vacation as follows:

\begin{tabular}
{|c|c|c|c|c|c|}
Time (h)&1&2&3&4&5\\[1ex]
Distance (mi)&55&110&165&220&275
\end{tabular}

The rate at which she travels is given by

rate= \frac{distance}{time}  \\  \\ = \frac{55}{1} =55mi/h

If Randy has driven for one more hour at the same rate, the number of hours she must have droven is 6 hrs and the total distance is given by

distance = 55 x 6 = 330 miles.
4 0
3 years ago
Please help im so confused!?
sergejj [24]
I think the answer is D) 24/25.

Again sorry if its wrong!!

6 0
3 years ago
PLS HELP ME I SUCK AT MATH
Rainbow [258]

Divide the sides of the larger triangle by the corresponding side of the smaller one:

18/7.2 = 2.5

Figure A is 2.5 times the size of figure B

The scale factor is 2.5

5 0
3 years ago
HOW do i solve this? <br><br> 7.42 ÷ 1.75
artcher [175]

Answer:

Step-by-step explanation:

You divide 7.42 / 1.75 = the answer is 4.24

7 0
2 years ago
Read 2 more answers
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