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Alexxx [7]
3 years ago
14

Which equation is a point slope form equation for line AB ?

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0

For this case we have that by definition, the equation of a line of the point-slope form is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}):It is a point through which the line passes

To find the slope, we need two points through which the line passes, observing the image we have:

(x_ {1}, y_ {1}): (1,6)\\(x_ {2}, y_ {2}): (5, -2)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-2-6} {5-1} = \frac {-8} {4} = -2

Thus, the equation is of the form:

y-y_ {0} = - 2 (x-x_ {0})

We choose a point:

(x_{0}, y_ {0}) :( 5, -2)

Finally, the equation is:

y - (- 2) = - 2 (x-5)\\y + 2 = -2 (x-5)

Answer:

y + 2 = -2 (x-5)

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the perimeter of an equilateral triangle is 39 centimeters. What is the length of an altitude of the triangle ?​
victus00 [196]

Answer: h = 11.26cm

Step-by-step explanation:

Equilateral triangle has equal sides, let the side be xcm , then the perimeter is 3x

Therefore:

3x = 39

x = 39/3

x = 13cm

To find the altitude , we will apply Pythagoras theorem , that is

13^{2}=h^{2}+6.5^{2}

Therefore:

h^{2}=13^{2}-6.5^{2}

h^{2}=169-42.25

h^{2}=126.75

take the square root of both sides

h = 11.26cm

8 0
3 years ago
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour. If she is asked to
STALIN [3.7K]

Answer:

5 hours 22 minutes

Step-by-step explanation:

Let us represent the number of hours that Jeri worked as: h

Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour

= $4.50 + $3 × h

= $4.50 + 3h

If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.

= 1.5 × ($4.50 + 3h)

If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?

Hence, we have the final equation;

= 1.5 × ($4.50 + 3h) = $29.25

= 6.75 + 4.5h = 29.25

Collect like terms

= 4.5h = 29.25 - 6.75

4.5h = 22.5

h = 22.5/4.5

h = 5.3571428571

Approximately= 5.36 hours

1 hour = 60 minutes

0.36 hour =

60 × 0.36

= 21.6 minutes

Approximately ≈ 22 minutes

Therefore, Jeri worked for 5 hours 22 minutes

7 0
3 years ago
Alex needs to catch a train. The train arrives randomly some time between $1:00$ and $2:00$, waits for $10$ minutes, and then le
creativ13 [48]

The probability that the train will be there when Alex arrives is 5/18

If Alex arrives at any time after 1.20pm the chances that train will  be there is 1/3.

However  if alex arrives at 1.00pm exactly there is no chance the train will be arrive there.

The probability that the train will be there increase linearly to 1/3 as alex's arrival time moves from 1.00pm to 1.20pm.

By arranging the probabilities over the first 20 minutes to get a 1/6 chance the train will be there if alex arrives between 1.00pm to 1.20pm

we get the final answer by

=1/3( 1/6 + 1/3 + 1/3)

=5/18

So, the probability that the train will be there when Alex arrives is 5/18

Learn more about PROBABILITY here

brainly.com/question/24756209

#SPJ4

3 0
2 years ago
If a car was sold at an original price of $18,950, and the sales tax was 6%, what was the total price of the car?
Nadya [2.5K]

Answer: $20,087

Step-by-step explanation: $18,950 times 0.06 is sales tax equals $1137 add that to 18,950 and you get 20,087.

5 0
3 years ago
Read 2 more answers
Alex applies 350 n of force to move his stalled car 40 m how much work did alex do
Katyanochek1 [597]

Step-by-step explanation:

Work done = Force × displacement

= 350 × 40

=14000J

7 0
3 years ago
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