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3 years ago

Which equation is in slope-intercept form and represents a line with slope 3 through the point (9, –4)?

1 answer:

8 0

The slope-intercept form of a line is:

$y = mx + q$

Where m is the slope and y is the y-intercept:

$y = 3x + q$

To find q (y-intercept), substitute the coordinates of the point (9, -4) in the equation of the line and solve it as an equation:

-4=3(9)+q
-4=27+q
q=-27-4=-31

The equation of the line is: y=3x-31

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Answer:

n=6

Step-by-step explanation:

12-6=6

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3 years ago

If a 200 N net force acts on a 500 grams car, what will the acceleration of the car be?

ladessa [460]

Answer:

The acceleration of the car will be 400 m/s².

Step-by-step explanation:

The acceleration of the car can be found using Newton second law:

$F = ma$

Where:

F: is the net force = 200 N

m: is the mass = 500 g

a: is the acceleration =?

Then, the acceleration will be:

$a = \frac{F}{m} = \frac{200 N}{500 g*\frac{1 kg}{1000 g}} = 400 m/s^{2}$

Therefore, the acceleration of the car will be 400 m/s².

I hope it helps you!

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3 years ago

What is the probability of rolling a 3 on two consecutive rolls of a fair 6-sided die?

Ad libitum [116K]

Answer:

$\frac{1}{36}$ chance

Step-by-step explanation:

Each time you roll a die, you have a $\frac{1}{6}$ chance of rolling a 3. It's even rarer to roll two 3s in a row, and to find a consecutive probability, we have to multiply the two probabilities. In this case, both probabilities are $\frac{1}{6}$ .

$\frac{1}{6}\cdot\frac{1}{6}=\frac{1}{36}$

Hope this helped!

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3 years ago