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tankabanditka [31]
3 years ago
9

Write an equation in point-slope form for the line that passes through (–2, 1) with a slope of 1/4

Mathematics
1 answer:
Anna11 [10]3 years ago
5 0

Answer:

5

Step-by-step explanation:

The point-slope equation of the line that passes through the point (2,1) and has the slope 5 , is y−1=5(x−2) . The generic equation for point-slope form is y−y1=m(x−x1) , where m is the slope and x1 and y1 are the given point.

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The area of the figure is 112 square inches.

Step-by-step explanation:

Step 1:

To calculate the value of the composite shape we first divide it into shapes that we know.

In this case, the composite shape consists of a rectangle and a parallelogram attached to it.

If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.

Step 2:

The rectangle has a length of 22 cm and a width of 8.5 cm. The area of a rectangle is the product of its length and its width.

The area of the rectangle= (length)(width)= (22)(8.5)=187.

The area of the rectangle is 187 square cm.

Step 3:

The area of a parallelogram is the product of its base length and its height. The given parallelogram has a base length of 22 cm and a height of 7.5 cm.

The area of the parallelogram = (baselength)(height) = (22)(7.5) = 165.

The area of the parallelogram is 165 square cm.

Step 4:

Now we calculate the area of the entire figure by adding the areas of the rectangle and the parallelogram.

Area of the figure = 187 + 165 = 352.

So the area of the figure is 352 square cm.

7 0
3 years ago
What kind of sequence is this?<br> 36, 144, 432, -864, ..
jenyasd209 [6]

Answer:

<h3> A Geometric sequence with common ratio 3</h3>

Step-by-step explanation:

A sequence of number is called Geometric sequence if the first number is being multiplied with a constant to get the rest of the numbers

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3 years ago
The length of a rectangle solid is 3.0 m the width is 0.6 meter, and the height is 0.4 meter. Find, to the nearest tenth, the nu
Ad libitum [116K]

Answer:

0.72\,\,m^3

Step-by-step explanation:

Given:

Length of a rectangle solid = 3 m

Width of a rectangle solid = 0.6 m

Height of a rectangle solid = 0.4 m

To find: Volume of the solid

Solution:

Volume of the solid = length × breadth × height

=3\times 0.6\times 0.4=0.72\,\,m^3

So, the number of cubic meters in the volume of the solid is 0.72\,\,m^3

3 0
4 years ago
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