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kvasek [131]
2 years ago
8

What is the equation of a line written in point-slope form that passes through the point (2,-5) and is parallel to the line repr

esented by 3x -2y = -14?
Mathematics
1 answer:
balu736 [363]2 years ago
8 0

Answer:

y=3/2x-8

Step-by-step explanation:

The slope of a line parallel to 3x-2y=-14 will be equivalent to the slope of this equation.

Rewrite the given equation in Slope/Intercept Form y=mx+b to get the slope m.

3x-2y=-14

2y=3x+14

divide both sides by 2 to solve for y.

y=(3x+14)/2

y=3/2x+7

slope m =3/2

Now that we have found the slope of our equation, we can put it into point-slope form : y-y1=m(x-x1) 2=x1 -5=y1

y--5=3/2(x-2)

y+5= 3/2x-3

subtract 5 from both sides to solve the equation for y

y=3/2x-8

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K+5/3=-7/4 (those are fractions) also can you show your work?
iris [78.8K]

Answer:

-3 5/12=k

Step-by-step explanation:

K+5/3= -7/4

subtract 5/3 from both sides

K= -7/4-5/3

lcm of 4 and 3 is 12

so

K= -21/12-20/12

K= -41/12

K= -3 5/12

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3 years ago
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2 years ago
What is the slope-intercept form of them equation of a line that passes through (5, -4) and has a slope of 3/4?
EastWind [94]

C is correct answer, passes through (5,-1) and also has slope of 3/4



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3 years ago
If a system of two inequalities has a solution, then their two half planes intersect , true or false ?
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7 0
2 years ago
1) Given P(A) = 0.3 and P(B) = 0.5, do the following.
Delicious77 [7]

Answer:

1) a) 0.8

b) 0.6

2) a) 0.08

b) 0.14

Step-by-step explanation:

1) Given

P(A) = 0.3 and P(B) = 0.5

Let us learn about a formula:

P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\OR\\P(A\cup B) = P(A) +P(B) -P(A\cap B)

(a) If A and B are mutually exclusive i.e. no common thing in the two events.

In other words:

P(A\ and\ B) = P(A \cap B) = 0

Using above formula:

P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0 = \bold{0.8}

(b)  P(A and B) = 0.2

Using above formula:

P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0.2 = \bold{0.6}

*************************************

1) Given

P(A) = 0.4 and P(B) = 0.2

Let us learn about a formula:

P(A\ and\ B) = P(B) \times P(A/B)  for dependent events

P(A\ and\ B) = P(A) \times P(B) for independent events.

(a) If A and B are independent events :

Using the above formula for independent events:

P(A\ and\ B) = 0.4 \times 0.2 = \bold{0.08}

(b)  P(A / B) = 0.7

Using above formula:

P(A\ and\ B) = P(B) \times P(A/B) = 0.2 \times 0.7 = \bold{0.14}

6 0
3 years ago
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