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Goshia [24]
3 years ago
15

What is the equation of the line that passes through the points (-4,8) and (2,-1)

Mathematics
1 answer:
DiKsa [7]3 years ago
8 0

Answer:

y - 8 = (3/2)(x + 4)

Step-by-step explanation:

As we move from (-4, 8) to (2, -1), x increases by 6 (this is the run) and y decreases by 9 (this is the "rise").  Thus, the slope is

m = rise / run = 9/6, or 3/2.

Using the point-slope form of the equation of a straight line, we get:

y - 8 = (3/2)(x + 4)

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Complementary events must have a sum of 1.
Bas_tet [7]

This is a true statement.

Consider two events A and B. We say they are complementary if P(A)+P(B) = 1

This means that either event A or event B must happen, since the "1" represents 100% probability. Having a probability of 100% means absolute certainty.

---------

Example:

A = the event it rains

B = the event it does not rain

P(A) = 0.30 = 30% chance of rain

P(B) = 0.70 = 70% chance it does not rain

P(A)+P(B) = 0.30+0.70 = 1

So this shows the two events are complementary.

8 0
3 years ago
A six-sided polygon is shown with sides labeled 12 cm, 10 cm, 10 cm, 8 cm, 6 cm, and 3 cm.
Pani-rosa [81]

Answer:

49cm^2

Step-by-step explanation:

The perimeter is just a continuous line which forms the boundaries of a geometric figure.

The perimeter is just all the sides added up.

12cm+10cm+10cm+8cm+6cm+3cm = 49cm^2

3 0
2 years ago
What is the slope of the line that passes through the pair of points (3,-4) and (5,-7).
maria [59]

The correct answer is C. -3/2

5 0
3 years ago
Jackson eats 3/4 cup of food in the morning and 3/4 cup of food at night. How many cups of food does Jackson eat in 5 days
Sonja [21]

Answer:

Jackson eats 15/2 cups of food in 5 days.

Step-by-step explanation:

If Jackson eats 3/4 of food in the morning and at night then he eats 3/2 of food a day or 1.5 cups of food a day.

1.5*5 = 7.5

OR

3/2*5=15/2

Hope this helps!!

5 0
2 years ago
Read 2 more answers
Simplify<br><img src="https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20-%202%7D%20%20%7Bb%7D%5E%7B3%7D%20" id="TexFormula1" title=" {a
DaniilM [7]

Answer:

Below

Step-by-step explanation:

● a^(-2) *b^3

●(1/a^2) *b^3

● b^3 / a^2

5 0
3 years ago
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