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faust18 [17]
3 years ago
14

Write the slope-intercept form of the equation of the line described below.

Mathematics
1 answer:
prisoha [69]3 years ago
4 0

The equation of the line is y=-\frac{2}{5}x-5

Explanation:

Given that the line passes through the points (-5,-3)

The slope of the line is m=-\frac{2}{5}

We need to determine the equation of the line.

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Let us substitute the points (-5,-3) and the slope m=-\frac{2}{5} in the above formula.

Thus, we have;

y+3=-\frac{2}{5}(x+5)

Simplifying, we get;

y+3=-\frac{2}{5}x-2

Subtracting 3 from both sides of the equation, we get;

y=-\frac{2}{5}x-5

Hence, the equation of the line in slope - intercept form is y=-\frac{2}{5}x-5

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X + (-9) + 9 = 8 solve the equation using mental math
Studentka2010 [4]

Answer:

X=8 simplify equation

Step-by-step explanation:

-9+9=0

8 0
3 years ago
92.4 is 150% of what number?
Ad libitum [116K]
1. We assume, that the number 92.4 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 150% of 92.4

92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x       - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x       - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6

<span>now we have: </span>
<span>150% of 92.4=138.6</span>
3 0
3 years ago
Read 2 more answers
What is the value of the third quartile of the data set represented by this box plot?
elena55 [62]
Answer: Since you didn't include the picture, I can give you the description so you know how to pick the correct answer.

The third quartile of a data is always shown in a box plot. In the middle of your graph should be a box. The third quartile is the value that goes with the far right edge of the box.
8 0
3 years ago
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The average age of 6 men is 35 years and
PSYCHO15rus [73]

Answer:

39.50

42.50

Step-by-step explanation:

Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men

Average = sum of ages / total number of men

35 = sum of ages / 6

sum of ages = 35 x6 = 210

32 = sum of ages / 4

32 x 4 = sum of ages

128

210 - 128 = 82

age of the younger man = x

age of the older man = 3 + x

x + 3 + x = 82

2x + 3 = 82

2x = 82 - 3

2x = 79

x = 79/2 = 39.5

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7 0
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Is the sequence below is arithmetic {1, 8, 27,64}
Rzqust [24]

Answer:

No

Step-by-step explanation:

No, because 8 - 1 ≠ 27 - 8. So, there is no common difference which is needed in order for the sequence to be arithmetic

6 0
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