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2 years ago

Write the equation of the line in slope-intercept form.

Mathematics

1 answer:

Ymorist [56]2 years ago

8 0

Answer:

y = 1/40x + 20

Step-by-step explanation:

Slope-intercept equation format:

y = mx + b

m = slope/ gradient/ constant of variation/ rate of change

b = y-intercept

To find the slope, use the formula:

$\frac{y_2-y_1}{x_2-x_1}$

Find two random points:

1 - (0.5, 40) , 2 - (1, 60)

Plug in:

$\frac{60-40}{1-0.5}$

Solve:

$\frac{20}{0.5}$

Divide:

$\frac{1}{40}$

The y-intercept is when the x-coordinate is equal to 0.

The y-intercept is always the beginning.

So observing the graph, the first point is (0, 20)

The x-coordinate is 0.

Y intercept = 20.

Plug in both slope and y-intercept:

y = 1/40x + 20

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Which of the following functions is graphed below ? (:

Alekssandra [29.7K]

C is the answer. By only looking at the domain (the stuff on the right in the functions), you can see that the first equation has a hole at x=2, meaning it does not have a value here at x=2. When x<2, there are values for the 1st function. When x>2, there are values for the second function, as well as when x=2

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3 years ago

5,5,3 Is this a triangle? Explain.

Vlad1618 [11]

Problem 1

Answer: Yes a triangle can be formed with side lengths 5,5,3

--------------------

Explanation:

Take any two sides and add them up. If we get a sum larger than the third side, then a triangle is possible. This is the triangle inequality theorem.

5+5 = 10 is larger than 3

5+3 = 8 is larger than 5

This shows a triangle is possible. The triangle is isosceles because two sides are the same length.

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Problem 2

Answer: Yes a triangle can be formed with side lengths 8,8,8

--------------------

Explanation:

This triangle is equilateral because all sides are the same length.

Take any two sides, add them up, and you'll find the sum is larger than the third side.

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Problem 3

Answer: No a triangle cannot be formed with sides 7,8,15

--------------------

Explanation:

Yes it is true that

8+15 = 23 is larger than 7

7+15 = 22 is larger than 8

but

7+8 = 15 is not larger than 15

So this means a triangle is not possible.

Imagine you had 3 strips of paper that were 7 inches, 8 inches and 15 inches long. The 7 and 8 inch strips add to 15 inches, but those two smaller strips only form a straight line. We cannot pull them so a triangle forms. If we did, then the third side would be smaller than 15 inches. This is one way to get hands on to see why the triangle inequality theorem works.

==========================================================

Problem 4

Answer: Yes a triangle is possible with side lengths 5,6,10

--------------------

Explanation:

Same idea as before. We can take any two sides, add them, and get a sum larger than the third side. A triangle is possible.

5+6 = 11 is larger than 10
6+10 = 16 is larger than 5
5+10 = 15 is larger than 6

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3 years ago

What is the length of the arch CH

Yakvenalex [24]

Answer:

147°

Step-by-step explanation:

The measure of arc CH is equal to the central angle it sees

the angles arc AH sees are BAC and CAH so the length of arc AH would be the sum of these two angles

90° + 57° = 147°

3 0

3 years ago

When Alice spends the day with the babysitter, there is a 0.6 probability that she turns on the TV and watches a show. Her littl

lara [203]

Answer:

A. P("Both Alice and Betty watch TV") = 12/25

B. P("Betty watches TV") = 12/25

C. P("Only Alice watches TV") = 3/25

Step-by-step explanation:

A. Because what we are told, Betty need that Alice turn on the TV, so, we first need the probability that she watches TV:

P(Alice)=3/5 (0.6)

And we know that:

P(Betty)=4/5 (0.8)

If we want the probability of both things happening at the same time (If you use a tree diagram, those events will be in the same branch), we proceed multiply them:

P("Both Alice and Betty watch TV") = 3/5 * 4/5 = 12/25

And this is the answer

B. Considering that Betty needs Alice to turn on the TV, the probability of Betty watching TV is the same as if she is with Alice.

P("Betty watches TV") = P("Both Alice and Betty watch TV") = 12/25

C. We use the same process as part A, but with a little difference. We now multiply for the probability that Betty does not watch TV (Because they still be in the same branch).

P("Betty does not watch TV") = 1 - P("Betty")

P("Betty does not watch TV") = 1 - 4/5

P("Betty does not watch TV") = 1/5

And the answer for part C is:

P("Alice watches TV without Betty") = 3/5 * 1/5 = 3/25

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3 years ago

Calculate the angle of depression from the

Verizon [17]

Answer: $52.6^{\circ}$

Step-by-step explanation:

Let the angle of depression be x.

$\sin x=\frac{27}{34}\\\\x=\sin^{-1} \left(\frac{27}{34} \right) \approx 52.6^{\circ}$

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2 years ago