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photoshop1234 [79]
3 years ago
13

Solve y=x+3 and 2x+y=-6 by substitution

Mathematics
2 answers:
allsm [11]3 years ago
6 0
Hope this is right....

BigorU [14]3 years ago
5 0

Answer:

x = -3

Step-by-step explanation:

substitute y in the second equation for x + 3:

2x + (x + 3) = -6

2x + x + 3 = -6

3x + 3 = -6

     -3       -3

3x = -9

/3      /3

x = -3


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Find the distance between the points (5, -3) and (0, 2).
ohaa [14]

Answer:

Distance between points  (5, -3) and (0, 2) is √50 or 7.07

Step-by-step explanation:

We need to find distance between two points (5,-3) and (0,2)

The distance formula used is:

d= \sqrt {\left( { x_2-x_1 } \right)^2 + \left( {y_2-y_1} \right)^2 }

here

x₁= 5, y₁=-3, x₂=0 and y₂=2

Putting values in the formula:

d= \sqrt {\left( {x_2-x_1} \right)^2 + \left( {y_2-y_1} \right)^2 }\\d= \sqrt {\left( {0-5} \right)^2 + \left( {2-(-3)} \right)^2 }\\d= \sqrt {\left( {-5} \right)^2 + \left( {2+3} \right)^2 }\\d= \sqrt {25+25}\\d= \sqrt {50}\\d= 7.07

So, distance between points  (5, -3) and (0, 2) is √50 or 7.07

7 0
3 years ago
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Of the 460 visitors on Saturday, 54% of them stayed until the park closed. About how many visitors stayed until the park closed?
Luda [366]

Answer:

About 248 of the visitors stayed until the park closed.

Step-by-step explanation:

460 x 0.54 = 248.4

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Step-by-step explanation:

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Determine the intercepts of the line that passes through the following points
shepuryov [24]

Answer:

(2,0) - x -intercept

(0, 1.5) - y-intercept

Step-by-step explanation:

The slope of the points can be found by writing a ratio of vertical change to horizontal change. It can be found in the table by subtracting y values from each other and subtracting x values from each other. The y values decrease by 3 each time or -6 - -3 = -6 + 3 = -3.

The x values increase by 4.

So the rate of change is -3/4.

This means if you go backwards on the table the previous point would be (2, 0). This is the x-intercept.

To find the y-intercept, you must go further back. Going back 2 more units would make the table appear as:

x                      y

-2                    3

0                      ???

2                      0

6                     -3

10                    -6

14                    -9

Since the y values decrease by 3 each time and we went back half the usual amount, then the value would be 1.5.

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3 years ago
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