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Alex Ar [27]
3 years ago
13

Find the equation of this line.

Mathematics
1 answer:
Tatiana [17]3 years ago
7 0

9514 1404 393

Answer:

  y = 1/2x + 1

Step-by-step explanation:

The slope of the line is "rise"/"run", where "rise" is the vertical distance between two points separated by a horizontal distance of "run".

Here, two points are marked that are 4 units apart horizontally (run = 4). The right-most point is 2 units above the left-most point (rise = 2). The slope between these points is ...

  m = rise/run = 2/4 = 1/2

The line crosses the y-axis at y=1, so the "y-intercept" is b=1.

These values can be put into the "slope-intercept form" equation for a line.

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 1/2x + 1 . . . . . matches the required answer form

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Write a related addition equation for the subtraction equation.
Bess [88]

Answer:

-7+12 will also give u 5 with a positive sign

8 0
3 years ago
Explain how the number line can
DochEvi [55]

9514 1404 393

Answer:

  points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.

Step-by-step explanation:

The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.

Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...

  -1.75, 2.50, -3.25, -3.50, 4.75

5 0
3 years ago
John is building a fence around his home currently his fence measures 14 feet on each side but he wants to increase only the wid
nalin [4]

Answer:

The dimensions of rectangular fence are 14 feet and 20 feet.

Step-by-step explanation:

We are given the following in the question:

Length of rectangular fence = 14 feet

Width of fence = (14+x) feet

Area of rectangular field = 280 square feet

Area of rectangular field =

A= \text{Length}\times \text{Width}

Putting the values, we get,

280 = 14(14+x)\\\\14 + x = \dfrac{280}{14}\\\\14 + x = 20\\x =20-14\\x = 6

Thus, the dimensions of rectangular fence are 14 feet and 20 feet.

7 0
3 years ago
Four more than a number is more than thirteen write inequality
aniked [119]
4 more than a number = x + 4
is more than = >
thirteen = 13
x + 4 > 13
7 0
4 years ago
Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
NISA [10]
281.25 is the answer i think
5 0
3 years ago
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