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jekas [21]
3 years ago
8

Explain in your own words how to do the following: "Write an equation in point-slope form of the like through the given points.

(1, 4) and (2, 7)"
Mathematics
2 answers:
vitfil [10]3 years ago
8 0

Answer:

y-4 = 3(x-1)

Step-by-step explanation:

First you will need to find the slope of the two points.

You can do this by using the slope formula:

m=(y_{2}-y_{1} ) /(x_{2}-x_{1})

Which would equal :

\frac{7-4}{2-1} =\frac{3}{1} =3

You would also have to know what point-slope form is:

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

Now insert your points, and the slope.

y-4 = 3(x-1)

nata0808 [166]3 years ago
4 0

Answer:

y-4=3(x-1)

Step-by-step explanation:

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7. The bottom of a river makes a V-shape that can be modeled with the absolute value function,
hjlf

Answer:

If one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480

Step-by-step explanation:

Given that:

The absolute value function:

d(h) = \dfrac{1}{6}|h - 300| - 50

To calculate the position of the buoy where the river bottom is 20 feet below the surface, we equate the absolute value function to the negative value of 20 feet and then solve it for h.

d(h) = -20

d(h) = \dfrac{1}{6}|h - 300| - 50 = -20

Let us add the sum of 50 on both sides, then:

= \dfrac{1}{6}|h - 300| - 50+50 = -20+50

= \dfrac{1}{6}|h - 300| = 30

By multiplying 6 on both sides, we have:

|h - 300| = 30 (6)

|h - 300| = 180

We can attempt the above expression by rewriting it as two equations:

h - 300 = 180   or     h  - 300  = - 180

Let us add 300 to both sides from the two expressions above:

h - 300 + 300 = 180 + 300     or   h - 300 + 300   = -180  + 300

h = 480     or  h = 120

Thus, if one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480

8 0
3 years ago
What is the value of x?
Paul [167]

Answer:

x= 85 is the answer. ( because exterior angle of a triangle is equal to 2 non adjacent interior angle of a triangle..)

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3 years ago
Which equation best models the fine schedule for overdue books? , where x is the cost in cents for a book that is y days overdue
earnstyle [38]

x is the independent variable, and in this scenario, the independent variable is the number of days overdue. So the best equation would be where x is the number of days overdue, and y is the cost in cents.


Example equation:



x = number of days overdue

y = cost in cents

z = total price

z = yx

4 0
3 years ago
In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of
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Answer:

It is an example of an observational study.

Step-by-step explanation:

4 0
4 years ago
If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a
gulaghasi [49]

If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a <u>parabola</u>.

A parabola is curved from one end and open from other end, therefore it would fit the best.

Hope I could help! :)

5 0
3 years ago
Read 2 more answers
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