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Umnica [9.8K]
3 years ago
13

Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0

9514 1404 393

Answer:

  y = 2x -6

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -2)/(1 -4) = -6/-3 = 2

The y-intercept is given by ...

  b = y -mx

  b = 2 -2(4) = -6

The equation in slope-intercept form is ...

  y = mx +b . . . . . line with slope m and y-intercept b

  y = 2x -6

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Which of the following is not approximately equivalent to one of the metric units: 1 kilometer, 1 meter, 1 kilogram, or 1 liter?
Nikitich [7]
A.
Note that 1 mile = 1.609 km.
Therefore
0.6 miles = 0.6*1.609 km = 1 km (approximately).

b.
Note that 1 US quart = 0.9463 liters.
Therefore
1 quart = 1 liter (approximately).

c.
Note that 1 pound = 0.4536 kg
Therefore 1 pound is not even approximately equal to one kilogram.

d.
Note that 1 yard = 0.9144 m.
Therefore
1 yard = 1 m (approximately).

Answer:
1 pound is not approximately equivalent to one of the metric units.

5 0
3 years ago
Syyedah throws a baseball with an initial velocity of 30 meters per second from a roof at an initial height of 75 meters. Write
Yuliya22 [10]
Initial velocity: v o = 30 m/s
h = 75 m
h = v o * t + g * t² / 2
75 = 30 · t + 9.8 · t² / 2
75 = 30 t + 4.9 t²
An equation is: y = 4.9 t² + 30 t - 75
4.9 t² + 30 t - 75 = 0
t_{12}= \frac{-30+/- \sqrt{900+1470} }{9.8}= \\  =\frac{-30+48.68}{9.8}
t = 1.9 s


4 0
3 years ago
g The tensile 0.2 percent offset yield strength of AISI 1137 cold-drawn steel bars up to 1 inch in diameter from 2 mills and 25
Vitek1552 [10]

Answer:

107.50

Step-by-step explanation:

Given the following :

Midpoint (S)____F

S y 93 95 97 99 101 103 105 107 109 111 f 19 25 38 17 12 10 5 4 4 2

Calculating the mean and standard deviation using a calculator :

The mean(m) of the data above = 98.12

Standard deviation (sd) = 4.02

Proportion = 99% of population

From z table = 2.33

Using :

Zscore =(x - m) / sd

2.33 = (x - 98.12) / 4.02

2.33 * 4.02 = x - 98.12

9.3666 = x - 98.12

9.3666 + 98.12= x

x = 107.4866

X = 107.50

3 0
3 years ago
Simplify: 0.6×0.2/ 0.04​
Savatey [412]

Answer:

3

Step-by-step explanation:

4 0
2 years ago
A point has the coordinates (m,0) and m unequal 0. Which reflection of the point will produce an image located at (0,-m)
melisa1 [442]

Answer:

y = -x

Step-by-step explanation:

it because the reflection change the value of x become -y

so the reflection we can use is the line y = -x

8 0
3 years ago
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