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2 years ago

What is the slope of the line that passes through the points (2,0) and (1,0)? Write

Mathematics

1 answer:

ICE Princess25 [194]2 years ago

3 0

Answer:

m=0

Step-by-step explanation:

The slope of a line can be found using:

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

Let's call (2,0) our "2" coordinate, and (1,0) our "1" coordinate.

Coordinates are written as: (x,y)

Therefore, our x2 is 2 and y2 is 0. Our x1 is 1 and y2 is 0.

Substitute these values into the formula .

$m=\frac{0-0}{2-1}$

$m=\frac{0}{1}$

m=0

The slope of the line is 0

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Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

2 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

natima [27]

Answer: <

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6 0

2 years ago

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For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1, find the percentage of sc

Shkiper50 [21]

Answer:

a) Scores of 2 and higher are significantly high

b) Scores of -2 and lower are significantly low

c) Scores between -2 and 2 are not significant.

Step-by-step explanation:

Mean = 0

Standard deviation = 1

a. significantly high (or at least 2 standard deviations above the mean).

2 standard deviations above the mean is:

0 + 1*2 = 2

So scores of 2 and higher are significantly high

b. significantly low (or at least 2 standard deviations below the mean).

2 standard deviations below the mean is:

0 - 1*2 = -2

So scores of -2 and lower are significantly low

c. not significant (or less than 2 standard deviations away from the mean).

2 standard deviations above the mean is:

0 + 1*2 = 2

2 standard deviations below the mean is:

0 - 1*2 = -2

So scores between -2 and 2 are not significant.

3 0

2 years ago

Find in the triangle. Round to the nearest degree. a. 45° C. 60° b. 59° d. 42°

aleksklad [387]

Answer:

Theta = 59 degrees

Step-by-step explanation:

Here, we want to get the value of the marked angle

To do this, we use the appropriate trigonometric ratio

From what we have,

The side 42 ft is adjacent the angle given

The side facing the right angle is 82 ft

The trigonometric ratio that connects the adjacent and the hypotenuse is cosine. It is the ratio of the adjacent to the hypotenuse

Cos theta = 42/82

theta = cos^-1 0.5122

theta= 59.189

To the nearest degrees, this is 59 degrees

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2 years ago

Fill in the table, then graph f(x)=-2x-4

expeople1 [14]

The attached graph shows a table. If it doesn't have your values, it is because you didn't share them with us.

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2 years ago