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Strike441 [17]
3 years ago
10

Write an equation in slope-intercept form for the line parallel to y=3x-2 that passes through the point (5,-2)

Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer:

y = 3x - 17

Step-by-step explanation:

Parallel lines have the same slope.

The slope of the given line, y = 3x - 2 is 3.

The equation we are looking for is of the form

y = mx + b

Since we know the slope, m, is 3, we have

y = 3x + b

To find the value of b, we substitute x and y with the values from the given point and solve for b.

-2 = 3(5) + b

b = -17

The equation is

y = 3x - 17

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Tems11 [23]

Answer:

94m^2

89.1mm^2

Step-by-step explanation:

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3 years ago
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The mass of a penny was measured six times. The following data was reported:
Scrat [10]

Answer:

a) 8.103 g

b) 9.2948

c) 0

Step-by-step explanation:

Given:

Data reported:

9.314 g, 9.215 g, 9.323 g, 8.103 g, 9.278 g, and 9.344 g

Now,

All the values except the 8.103 are above 9

Here the data 8.103 varies very much with respect to the other values

Hence,

a) the data 8.103 should be excluded

b) average value of the mass of the penny = \frac{9.314 + 9.215 + 9.323 + 9.278 + 9.344 }{5}

= 9.2948 g

c) Deviation = Mean - Data

9.2948 - 9.314 = -0.0192

9.2948 - 9.215 = 0.0798

9.2948 - 9.323 = -0.0282

9.2948 - 9.278 = 0.0168

9.2948 - 9.344 = -0.0492

Thus,

Average deviation from mean = tex]\frac{-0.0192 + 0.0798 -0.0282 + 0.0168 -0.0492 }{5}[/tex]

= 0

4 0
4 years ago
Which expression is equivalent to sin(1.8x) sin(0.5x)?
Rasek [7]
Hum, this problem was difficult. You use the next expression to solve this problem. \[\cos (A - B) = \cos A \cos B + \sin A \sin B \] \[\cos (A + B) = \cos A \cos B - \sin A \sin B\] \[\cos (A - B ) - \cos (A +B ) =2 \sin A \sin B\] So \[\sin A \sin B = 0.5 \left( \cos(A - B) - \cos(A + B) \right)\] A = 1.8 x, B = 0.5 x \[\sin (1.8x) \sin (0.5x) = 0.5\left( \cos(1.8-0.5)x - \cos(1.8+0.5)x \right)\]\[= 0.5 \left( \cos(1.3x) - \cos (2.3x) \right)\] It's finish !!
3 0
3 years ago
Rachel bought 15 packs of colored pencils with four pencils in each pack. She also
stealth61 [152]

Answer:

124

Step-by-step explanation:

15 x 4=60

32 x 2=64

64+60=124

8 0
3 years ago
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a s
katovenus [111]

We are given dimensions of rectangular bedroom = length of 5m and width 3 m.

Also scale drawing of factor 1/50 of the original dimension.

In order to find the dimensions of scale drawing, we need to multiply scale factor by each dimension.

Therefore, length of the scale drawing is 5 * 1/50 = 1/10 m and

Let us convert it in centimeter now.

1 m = 100 cm

1/10 m = 100 * 1/10 = 10cm.

Width of the scale drawing = 3 * 1/50 = 3/50 m.

100*3/50 = 6 cm.

Therefore, the dimensions of a scale drawing of Elenas bedroom is length 10cm and width 6cm.

7 0
3 years ago
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