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VashaNatasha [74]
3 years ago
14

Find the distance between (-8,-6) and ( 4,7)​

Mathematics
2 answers:
vitfil [10]3 years ago
6 0
Distance between these numbers are 17.69
pshichka [43]3 years ago
3 0
Distance = √(x2-x1)² + (y2-y1)²

x1= -8
y1= -6

x2=4
y2=7

= √(4-(-8))²+(7-(-6))²

= √(4+8)²+(7+6)²

= √(12)² + (13)²

= √144+169

= √313 = 17.69


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Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute y=0 into the equation and solve for "x".

To find the y-intercept, substitute x=0 into the equation and solve for "y".

- For the first equation:

x-intercept

4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25

y-intercept

4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5

y-intercept

2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

x=5\\y=3

7 0
4 years ago
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What is the equation of the line that has a slope of 4 and a y-intercept of -7?
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the first three steps of completing the square to solve the quadratic equation X2+4X-6=0 are shown below. what re the next 3 ste
Vilka [71]

Answer:

see the explanation

Step-by-step explanation:

<u><em>The complete question is</em></u>

The first three steps of completing the square to solve the quadratic equation x2 +4x -6= 0, are shown below.

Step 1: x2 +4x= 6

Step 2: x2 +4x+4=6+4

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What are the next 3 steps?​

we have

step 4

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step 5

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step 6

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