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Marta_Voda [28]
2 years ago
15

Plz Help I need to get these right and im already grounded so Help a brotha out

Mathematics
2 answers:
Rom4ik [11]2 years ago
8 0

Answer:

1).  Correct answer is D

2). Correct answer is A

Step-by-step explanation:

1).

For the points given, (-1, -1) and (2, -2), we have to find the slope.

Slope formula is (y2 - y1) / (x2 - x1), or rise over run.

Simply fill in the formula and you will get:

y2 = -2

x2 = 2

y1 = -1

x1 = -1

OR

(-2 - (-1)) / (2 - (-1)) which is D

2).

For the two points given, (2, 0) and (0, -3), find the slope.

Using the same equation above, (y2 - y1) / (x2 - x1), or rise over run, fill it in and solve and you will get your answer.

y2 = 0

x2 = 2

y1 = -3

x1 = 0

(0 - (-3)) / (2 - 0) = 3/2 which is A

zlopas [31]2 years ago
7 0

Step-by-step explanation:

Graph A:

D ((y2-y1)/(x2-x1) or (y1-y2)(x1-x2))

Graph B:

A (same as above or simply take the rise divided by the run)

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Answer:

36

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5(4)+16=20+16=36

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3 years ago
Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does
Reil [10]
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)

4x+3y=12

3y=-4x+12

y=-4x/3+12/3

So a line perpendicular to the bank will be:

y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

-1/4=b so the perpendicular line is:

y=3x/4-1/4

So now we want to know the point where this perpendicular line meets with the river bank.  When it does y=y so we can say:

(3x-1)/4=(-4x+12)/3  cross multiply

3(3x-1)=4(-4x+12)

9x-3=-16x+48

25x=51

x=51/25

x=2.04

y=(3x-1)/4

y=(3*2.04-1)/4

y=1.28

So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(7-2.04)^2+(5-1.28)^2

d^2=38.44

d=√38.44

d=6.2 units

Since he can run at 10 uph...

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8 0
2 years ago
Determine if the events A and B are independent. Show all steps.
zmey [24]

<u><em></em></u>

Answer:

P(A U B )  = \frac{13}{25}

Step-by-step explanation:

<u><em>STEP:-1</em></u>

Given that events A and B are independent then

P(A ∩B ) = P(A) P(B)

Given that P(A) = 2/5 and P(B) = 1/5

<u><em>STEP:- 2</em></u>

P(A ∩B ) = P(A) P(B)

P(A U B) = P(A) +P(B) - P(A n B )

P(A U B ) = P(A) +P(B) - P(A) P(B)

<u><em>Step(iii):-</em></u>

<u><em></em></u>P(A U B ) = \frac{2}{5}  +\frac{1}{5} - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{25}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{15-2}{25} = \frac{13}{25}<u><em></em></u>

<u><em /></u>

<u><em /></u>

4 0
2 years ago
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