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Marina CMI [18]
3 years ago
15

What is the point-slope form of a line that has a slope of 3 and passes through the point (–1, 4)?

Mathematics
1 answer:
DaniilM [7]3 years ago
4 0

Answer:

y-4=3(x+1)

Step-by-step explanation:

The formula is y-y₁=m(x-x₁).

So implement the first y which was 4. Then implement the slope for m(because m represents slope). That will be 3. Lastly take your x1 which is -1, and subtract it from x but if you have to negatives it becomes positive or adding.

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Given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2
4vir4ik [10]

Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

Here, we get tan x = 4/3 which is positive.

Hence, we can say that tan (x/2) = -2 is a correct solution.

5 0
3 years ago
The markup over the dealer's cost on a new refrigerator ranges from 15% to 20%. If the dealer's cost is $1750, over what rage wi
jok3333 [9.3K]
The markup will range from $2012.50 to $2100.
6 0
3 years ago
the temperature at noon is -4F. the temperature at 6:00pm is -12. what is difference between noon and 6:00pm temperature
uysha [10]

Answer:

8 degrees Fahrenheit

Step-by-step explanation:

4 0
3 years ago
What is the perimeter of ΔABC?
11111nata11111 [884]

Answer:

20

Step-by-step explanation:

Two tangent segments drawn to a circle from the same point outside the circle are congruent. The two tangents at A measure 2. The two tangents at B measure 5. The two tangents at C measure 3.

perimeter = 2 + 2 + 5 + 5 + 3 + 3

perimeter = 20

3 0
3 years ago
Which of the following is an example of a proper fraction?<br> A.7/6<br> B.3/4<br> C.4/4<br> D.4/3
statuscvo [17]

Answer: B

Step-by-step explanation:

A proper fraction is when a fraction has the numeration less than the denominator

3 0
3 years ago
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