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Dvinal [7]
3 years ago
15

What is the equation for the line with a slope of - 2/3 that passes through (0, -2)

Mathematics
1 answer:
viktelen [127]3 years ago
5 0

Answer:

y= -2/3x-2

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula

y-y_{1} =m(x-x_{1})

m is the slope. In this case, m is -2/3

y1 is the y coordinate of the point. In this case, it is -2

x1 is the x coordinate. In this case it is 0.

We can substitute these values into the formula

y- -2= -2/3(x-0)

Distribute -2/3

y+2 = -2/3*x + -2/3*0

y+2= -2/3x+0

Subtract 2 from both sides. We want to get y by itself. This is because we want our line to be in y=mx+b form.

y+2-2= -2/3x+0-2

y= -2/3x -2

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the sum of 43.9 and a number is 49.65, as shown below l. what number should go in the box to complete the addition problem
torisob [31]
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3 years ago
What is the range of possible sizes for side x? _ &lt; x &lt; _
qwelly [4]

Answer:

2.8 < x < 5.8

Step-by-step explanation:

We must apply the Triangle Inequality Theorem which states that for any triangle with sides a, b, and c:

a + b > c

b + c > a

c + a > b

Here, let's arbitrarily denote a as 4.1, b as 1.3, and c as x. So, let's plug these values into the 3 inequalities listed above:

a + b > c  ⇒  4.1 + 1.3 > x  ⇒  5.8 > x

b + c > a  ⇒  1.3 + x > 4.1  ⇒  x > 2.8

c + a > b  ⇒  x + 4.1 > 1.3  ⇒  x > -2.8

Look at the last two: clearly if x is greater than 2.8 (from the second one), then it will definitely be greater than -2.8 (from the third), so we can just disregard the last inequality.

Thus, the range of possible sizes for x are:

2.8 < x < 5.8

<em>~ an aesthetics lover</em>

8 0
3 years ago
Read 2 more answers
How many solutions does 9x+3=9x+5 have?​
lilavasa [31]

Answer: No Solution

Step-by-step explanation: The Answer Is No Solution.

Have A Great Day!

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3 years ago
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Karolina [17]
40
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3 years ago
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