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inn [45]
2 years ago
11

The line passes through the point (-2,-5) and has a slope of -3.

Mathematics
1 answer:
JulsSmile [24]2 years ago
4 0

Answer:

y = - 3x  -11

Step-by-step explanation:

(x₁ , y₁) = (-2 , -5)   & m = -3

y - y₁ = m (x - x₁)

y - [-5] = (-3)(x -[-2])

y + 5   = (-3)(x + 2)

y + 5  = -3x - 6

      y = -3x - 6 - 5

      y = - 3x  -11

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Which equation can be used to prove 1 + tan2(x) = sec2(x)?
notsponge [240]

Answer:

fourth option

Step-by-step explanation:

Using the trigonometric identity

cos²x + sin²x = 1

Divide all terms by cos²x

\frac{cos^2x}{cos^2x} + \frac{sin^2x}{cos^2x} = \frac{1}{cos^2x} which gives

1 + tan²x = sec²x

6 0
3 years ago
The table shown below represents a function. Which of the following values could not be used to complete the table?
11111nata11111 [884]

Answer:

The answer to your question is: letter B

Step-by-step explanation:

Function definition: a function is a relation from a set of inputs to a set of outputs.

The most important about functions is that each input is related to one and only one output. Then there are not repeated values of inputs.

In the exercise, the inputs are -10, -25, -5, and the outputs are 5, 10, 15 and 20.

So, to solve this exercise, look for a number in the options that will not be repeated in the inputs,

Then,  

          - 20 is a possible option because is not repeated

           -5    is not an option to complete the table because 5 already exist.

          - 15 is a possible option because is not repeated previously.

3 0
3 years ago
the bus bound for northtown departs every 15 minutes and the bus for eastown departs every 18 minutes from the central station.
USPshnik [31]

Considering the least common factor of 15 and 18, it is found that they will depart from the central station at the same time at 11 AM.

<h3>How to find the time it takes for periodic events to repeat at the same time?</h3>

To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.

In this problem, the periods are of 15 and 18, hence their lcm is found as follows:

15 - 18|2

15 - 9|3

5 - 3|3

5 - 1|5

1 - 1

Hence:

lcm(15,18) = 2 x 3 x 3 x 5 = 90 minutes.

They will depart from the central station at the same time in 90 minutes from 9:30 AM, hence at 11 AM.

More can be learned about the least common factor at brainly.com/question/16314496

#SPJ1

7 0
1 year ago
The total bill for a dinner, before tax, is $40.00. If you leave a 15% tip, you will leave a tip of
VMariaS [17]

The answer is 6$ because 50% of 40 would be 20 and 50% of 20 is 10 but when you all on the tax which would be around a dollar when you take 50% of 10 which is 5 and add on the tax which is a dollar you then get 6$ in total.

7 0
3 years ago
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a,
Elenna [48]

Answer:

(f-v)/a = t

Step-by-step explanation:

f = v + at

Subtract v from each side

f-v = v-v + at

f-v = at

Divide each side by a

(f-v)/a = at/a

(f-v)/a = t

4 0
3 years ago
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