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grandymaker [24]
3 years ago
11

Find the equation of the line that passes through (1,3) and is perpendicular to y=1−2x. Leave your answer in the form y=mx+c

Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0

Answer:

The equation of the line  that passes through (1,3) and is perpendicular to y=1−2x is y=1/2x+5/2

Step-by-step explanation:

We can rewrite the original equation as y=-2x+1

To find an equation's perpendicular slope, you take the reciprocal of it and negate it, therefore the perpendicular slope is -2 -> 1/-2 -> 1/2

So far, we have y=1/2x+b, but to find the y-intercept, b, we would need to plug in (1,3) and solve for b:

y=1/2x+b

3=1/2(1)+b

3=1/2+b

5/2=b

Therefore, your final equation is y=1/2x+5/2

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Phil ran 4 3/8 miles yesterday. Michael ran 1 5/8 miles yesterday. How much farther did phil run than Michael
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Phil ran 2 7/8 miles more than micheal
8 0
2 years ago
Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1)
Airida [17]

Answer:

Step-by-step explanation:

The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is -\frac{1}{3}, then the slope of the line perpendicular is 3.

Knowing this, we can start to construct the equation for the line:

y = mx + b

y = 3x + b

To solve for b, we plug in the coordinates of the point that we know the line runs through, (2, 1):

y = 3x + b

1 = 3(2) + b

1 = 6 + b

b = -5

Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

y = 3x - 5

5 0
3 years ago
To the nearest millimeter, a cell phone is 86 mm long and 40 mm wide. What is the ratio of the width to the length?
MAXImum [283]

Answer:

20 : 43

Step-by-step explanation:

width : length

40 mm : 86 mm

40 : 86

20 : 43

4 0
2 years ago
At what points does the helix r = left angle bracketsin(t), cos(t), tright angle bracket intersect the sphere x 2 + y 2 + z 2 =
r-ruslan [8.4K]

Answer:

the points are = (0.1045, 0.9945, 6) and ( -0.1045, 0.9945, -6)

Step-by-step explanation:

The detailed steps and appropriate substitution is as shown in the attached file.

4 0
3 years ago
Assume that a sample is used to estimate a population proportion p. find the margin of error e that corresponds to the given sta
Leno4ka [110]

Let p be the proportion. Let c be the given confidence level , n be the sample size.

Given: p=0.3, n=1180, c=0.99

The formula to find the Margin of error is

ME = z _{\alpha/2}  \sqrt{\frac{p*(1-p)}{n}}

Where z (α/2) is critical value of z.

P(Z < z) = α/2

where α/2 = (1- 0.99) /2 = 0.005

P(Z < z) = 0.005

So in z score table look for probability exactly or close to 0.005 . There is no exact 0.005 probability value in z score table. However there two close values 0.0051 and 0.0049 . It means our required 0.005 value lies between these two probability values.

The z score corresponding to 0.0051 is -2.57 and 0.0049 is -2.58. So the required z score will be average of -2.57 and -2.58

(-2.57) + (-2.58) = -5.15

-5.15/2 = -2.575

For computing margin of error consider positive z score value which is 2.575

The margin of error will be

ME = z _{\alpha/2}  \sqrt{\frac{p*(1-p)}{n}}

= 2.575  \sqrt{\frac{0.30*(1-0.3)}{1180}}

= 2.575 * 0.0133

ME = 0.0342

The margin of error is 0.0342

7 0
3 years ago
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