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zaharov [31]
3 years ago
7

Write the point-slope form of the line that passes through (6, 1) and is parallel to a line with a slope of -3. Include all of y

our work in your final answer. Type your answer in the box provided to submit your solution.
Please explain how to do this :)
Mathematics
1 answer:
denpristay [2]3 years ago
3 0

Answer:

(y - 1) = -3(x - 6)

Step-by-step explanation:

The equation of a line in point-slope form is

(y-y_{1}) = m (x-x_{1})

where y1 and x1 are 2 known points, and m is the slope of the line. So simply just fill in the blanks.

y is a variable so it is left alone (since there is no subscript).

y1 we are told is 1.

m we are told is -3 (the slope)

x is a variable so it is left alone (since there is no subscript).

x1 we are told is 6.

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Write the equation of a horizontal line that passes through the point (3,-3)
Artist 52 [7]
Y= mx+b

Since this line is horizontal it's slope = 0 ==> the y=b

It passes by the point (3,-3) that means b=-3 & the equation is y=-3
3 0
3 years ago
2x+10=16 help please, i forgot how to work it out
JulsSmile [24]

Answer:

x=3

Step-by-step explanation:


6 0
4 years ago
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5/12 + 2/3 <br> Please help
AnnZ [28]

Answer:

The answer is 1 and 1/12 you can’t simplify the problem but this is the answer

Step-by-step explanation:

6 0
2 years ago
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A track star runs two races on a certain day. The probability thathe wins the first race is 0.7, the probability that he wins th
NARA [144]

Answer:

a) 80% probability that he wins at least one race.

b) 30% probability that he wins exactly one race.

c) 20% probability that he wins neither race.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that he wins the first race.

B is the probability that he wins the second race.

C is the probability that he does not win any of these races.

We have that:

A = a + (A \cap B)

In which a is the probability that he wins the first race but not the second and A \cap B is the probability that he wins both these races.

By the same logic, we have that:

B = b + (A \cap B)

The probability that he wins both races is 0.5.

This means that A \cap B = 0.5

The probability that he wins the second race is 0.6

This means that B = 0.6

B = b + (A \cap B)

0.6 = b + 0.5

b = 0.1

The probability that he wins the first race is 0.7.

This means that A = 0.6

A = a + (A \cap B)

0.7 = a + 0.5

a = 0.2

A) he wins at least one race.

This is

P = a + b + (A \cap B) = 0.2 + 0.1 + 0.5 = 0.8

There is an 80% probability that he wins at least one race.

B) he wins exactly one race.

This is

P = a + b = 0.2 + 0.1 = 0.3

There is a 30% probability that he wins exactly one race.

C) he wins neither race

Either he wins at least one race, or he wins neither. The sum of these probabilities is 100%.

From a), we have that there is an 80% probability that he wins at least one race.

So there is a 100-80 = 20% probability that he wins neither race.

6 0
3 years ago
Is -(12/-17) equal to 12/17
maria [59]
Yes <span>-(12/-17) is equal to 12/17

I hope this helps. 

Have a awesome day. :)</span>
3 0
3 years ago
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