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3 years ago

A line in standard (x,y) coordinate plane passes through the points (7.5 ,-4.25) and (12.5,-6) find the slope of the line

Mathematics

1 answer:

Svet_ta [14]3 years ago

4 0

Answer:

Step-by-step explanation:

Rise over run. Difference in y values is rise. 4.25 -6 is -1.75. Run s difference in x values. 12.5 -7 is 5. Divide -1.75/5 to get -0.35 As a faction thats -7/20

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The grid shows Figure Q and its image Figure Q′ after a transformation.

Svetach [21]

The transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.

<h3>What is transformation?</h3>

A transformation is a general term for four specific ways to manipulate the shape or position of a point, a line, or a geometric figure.

We have,

Coordinates of a pentagon Q.

(2, 4), (3, 7), (7, 5), (5,4), and (4,2).

Coordinates of pentagon Q'.

(-2, -4), (-3, -7), (-7, -5), (-5,-4), and (-4,-2).

We see that the coordinates of each point of the pentagon Q have changed their position as negative coordinates in pentagon Q'

The coordinates of pentagon Q are in (x, y) which can be assumed to be in the first quadrant of the coordinate plane.

The coordinates of pentagon Q' are in (-x, -y) which is in the 3rd quadrant.

From the first quadrant to 3rd quadrant there is a rotation of 180°.

Thus the transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.

Learn more about transformation here:

brainly.com/question/4458799

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8 0

1 year ago

you buy a baseball and a bat and spend $31. the bat costs $19 more than the baseball. what is the price of the baseball? What is

Morgarella [4.7K]

The bat costs $25.50 and the baseball costs $5.50

4 0

3 years ago

Read 2 more answers

The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps. At this rate, how many times will she not fall i

Inessa05 [86]

<u>Answer:</u>

Rhonda will not fall 264 times in 360 jumps.

<u>Solution:</u>

Given, The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps.

We have to find At this rate, how many times will she not fall in 360 jumps.

Now,

For 15 jumps → 4 falls

For 360 jumps → n falls

Now apply Chris cross method,

$15 \times n=360 \times 4 \rightarrow n=\frac{360 \times 4}{15}=24 \times 4=96$

So, she falls 96 times in 360 jumps.

Then, number of times she will not fall = 360 jumps – 96 falls = 264 times.

Hence, Rhonda will not fall 264 times in 360 jumps.

8 0

3 years ago

PLEASE HELP ME! i think its A

natali 33 [55]

Answer:

The answer is 3rd option.

Step-by-step explanation:

In a graph, domain is always represented by the x-axis. So by looking at the graph, the minimum value of x is -2. We can know that x ≥ -2.

5 0

3 years ago

Read 2 more answers

To be considered for pilot school, 12 students took a spatial reasoning test that resulted in this list of scores. Find the valu

lord [1]

Answer:

the 90th percentile is 145

Step-by-step explanation:

Data provided:

152 121 130 143 122 101 137 98 138 127 145 117

Number of students considered, n = 12

To find:

90th percentile

Now,

Step 1 : Arrange the data in ascending order

98, 101, 117, 121, 122, 127, 130, 137, 138, 143, 145, 152

Step 2 : Compute the position of the 90th percentile

position of the 90th percentile, i = (90% × n)

Thus,

i = 0.90 × 12

i = 10.8

Now,

Step 3 : Since, the index i is not an integer, round up to the nearest integer

i.e i = 11

Therefore,

The 90th percentile is the value in 11th position,

i.e 145

7 0

3 years ago