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Arisa [49]
3 years ago
11

4. What is the equation of a line with a slope of 5 that passes through the point (4,2) ? Express this equation in all three for

ms: point-slope, slope-intercept, and standard.
Mathematics
2 answers:
Colt1911 [192]3 years ago
5 0
Incase you did not know, f(x) is a way of writing equations, for lines, if you do not know what the equation is.

2 = f(4)
f(x) = 5x-c
f(4) = 20-c
c = 20-2 = 18
f(x) = 5x-18

thus...
y = 5x-18

also...
the y intercept is -18
stiv31 [10]3 years ago
3 0
Slope = 5
y = mx + b
2 =5(4) + b
b = 2 - 20
b = -18


<span>point-slope equation
y - 2 = 5(x -4)

</span><span>slope-intercept equation
y = 5x - 18

standard form
5x - y = 18</span>
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7over10 subtract 5over12 in simplest form
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Step-by-step explanation:

\left(\frac{7}{10}\right)-\left(\frac{5}{12}\right)

=\frac{7}{10}-\frac{5}{12}

=\frac{42}{60}-\frac{25}{60}

=\frac{42-25}{60}

=\frac{17}{60}

4 0
2 years ago
This filling cabinet is 26.5 in long. 15 in wide, and 52 in tall. What is the volume and surface area of this 3D shape?
kherson [118]
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3 years ago
If the point A is located at (-5,-3) and A’ is the image of A after being rotated about the origin by 270 (counter clockwise). W
Rom4ik [11]

Answer:

D (-3, 5)

Step-by-step explanation:

270 counter clockwise is the same as 90 clockwise.

For a 90° clockwise or 270° counter clockwise, take the opposite of the x coordinate then switch the coordinates.

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3 0
2 years ago
Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i
murzikaleks [220]

Answer:

p-value: 1.000

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Step-by-step explanation:

We will be conducting a difference of 2 proportions hypothesis test

The hypothesis for this test is:

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H_a:  p1 - p2  ≠0

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(p2) = 195/300 = 0.65

This is a 2 tailed test with a significance level of 1%.  So our critical values are:  z > 2.575  and z < -2.575

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8 0
3 years ago
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Fudgin [204]

Answer:

Step-by-step explanation:

Let's say the width is x. If the length is 3 meters more than the width, the the length is x+3.

A rectangle has 4 sides. 2 widths and 2 lengths. If the perimeter is 26 meters, you can plug in your expressions for the width and the length to solve for x.

2(x+3) +2(x)=26

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4x=20

x=5.

If x=5, that means that your with is 5 meters, and your length is 8 meters (5+3)

5 0
2 years ago
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