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marishachu [46]
2 years ago
14

Carmen Martinez

Mathematics
2 answers:
cupoosta [38]2 years ago
7 0

Answer:

m=\frac{1}{2}

Step-by-step explanation:

The slope of a line, also known as the change in the line or the (\frac{rise}{run}) can be found using the following formula,

m=\frac{y_2-y_1}{x_2-x_1}

Where (x_1,y_1) and (x_2,y_2) are points on the line. Substitute the given information into the formula and solve for the slope.

m=\frac{y_2-y_1}{x_2-x_1}

Points on the line: (4,4)\ \ \ (10, 7)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{7-4}{10-4}

m=\frac{3}{6}

m=\frac{1}{2}

m=0.5

klemol [59]2 years ago
6 0
  • (4,4)
  • (10,7)

\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}

\\ \sf\longmapsto m=\dfrac{7-4}{10-4}

\\ \sf\longmapsto m=\dfrac{3}{6}

\\ \sf\longmapsto m=\dfrac{1}{2}

\\ \sf\longmapsto m\approx0.5

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{(-2, 6), (2, 0), (3, 6), (4, -1), 5, 3)}<br> Dom:<br> Range:<br> Function?
kozerog [31]

Answer:

Domain = {-2, 2, 3, 4, 5}

Range= {6, 0, 6, -1, 3)

It is a function

Step-by-step explanation:

It is a function because there is only one y value for each x value

4 0
3 years ago
3) Last year Kerry’s take home pay was £15 000 She spent 40% of her take home pay on rent. She used the rest of her take home pa
gregori [183]
3,000. You take 15,000 and multiply by .4 to get how much she spent on rent (6,000). They you subtract the rent money from her total pay to get her money that she spent on living expenses, clothes and entertainment in total (9,000). Since she spent her money in six parts (3+2+1), you divide 9,000 by 6 to get 1,500 to get each part. Since for entertainment she has two parts you multiply 1,500 by 2 to get 3,000.
4 0
2 years ago
Jake’s map shows the distance from the Bake Stars Cafe to the restaurant supply store as 3 centimeters. If the scale of the map
Stolb23 [73]

Answer:

The real distance from shop to store is 24 kilometers.

Step-by-step explanation:

Given:

Distance from the Bake Stars Cafe to the restaurant supply store on map = 3 cm

Also Given:

Scale of the map 1 cm = 8 km

We need to find the real distance from the shop to the store.

Solution:

Now we know that;

Distance from shop to store on map =3 cm

1 cm = 8 km

3 cm = Real distance from shop to store

By using Unitary method we get;

Real distance from shop to store = 8\times3 =24 \ km

Hence The real distance from shop to store is 24 kilometers.

8 0
3 years ago
Mr. smith has 5 courses he teaches at the community college. his course a has 102 students with an average tardiness of 3 studen
Furkat [3]

The percentage of tardiness among the 102 pupils is 2.94.

<h2>Calculation of the percentage</h2>

According to the query,

Course A: Total number of students = 102

                   Number of tardy students = 3

Percent of students tardy in course A = (number of tardy students/total  

                                                                   number of students) * 100

  =(3/102)*100

  = 2.941

  ≈2.94

In case of course B: Total number of students = 85 & tardy student = 5

So, the percent of tardy student = (5/85)*100 = 5.88 %

Therefore, it is concluded that the percentage of student tardiness in course A is 2.94.

Learn more about the percentage here:

brainly.com/question/92258

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5 0
2 years ago
Polygon ABCD is plotted on a coordinate plane and then rotated 90° clockwise about point C to form polygon A′B′C′D′. Match each
horrorfan [7]

The vertices of ABCD after 90 degrees clockwise rotation about point C are: A' (0,6), B' (3,7), C' (4,6) and D' (4,3)

<h3>How to match the vertices of the polygon?</h3>

The image of the polygon ABCD is not given; however, the question can still be answered because the coordinates are known.

The vertices of polygon ABCD are given as:

A = (4, 6)

B = (5, 3)

C = (4, 2)

D = (1, 2)

The rule of rotation about point C is:

(x,y) = (a + b - y, x + b - a)

Where:

(a, b) = (4, 2) --- the point of rotation.

So, we have:

(x,y) = (4 + 2 - y, x + 4 - 2)

(x,y) = (6 - y, x + 2)

The above means that:

A' = (6 - 6, 4 + 2) = (0,6)

B' = (6 - 3, 5 + 2) = (3,7)

C' = (6 - 2, 4 + 2) = (4,6)

D' = (6 - 2, 1 + 2) = (4,3)

Hence, the image of the rotation and their vertices (i.e. coordinates) are:

A' = (0,6)

B' =  (3,7)

C' = (4,6)

D' =  (4,3)

Read more about rotation at:

brainly.com/question/4289712

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8 0
1 year ago
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