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3 years ago

What is an equation in point- slope form for the line perpendicular to y= 3x-4 that contains (7,2)?

Mathematics

1 answer:

3241004551 [841]3 years ago

3 0

Answer:

y - 2 = - $\frac{1}{3}$ (x - 7)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 4 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

$\frac{m}{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{3}$

The equation of a line in point- slope form is

y - b = m(x - a)

m is the slope and (a, b) a point on the line

Here m = - $\frac{1}{3}$ and (a, b) = (7, 2), thus

y - 2 = - $\frac{1}{3}$ (x - 7) ← equation of perpendicular line

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3 years ago

Assume that the probability that a baseball player will get a hit in any one at bat is 0.250. What is the probability that he wi

Yanka [14]

Answer: 0.0791

Step-by-step explanation:

Given : The probability that a baseball player will get a hit in any one at bat is 0.250.

Let x be the first hit.

According to the geometric probability , the probability that x (th) trial is the first success = $P(X=x)=(1-p)^{x-1}p$ , where p is the probability of getting success in each trial.

As per given p= 0.250

Then, the probability that he will get his first hit on his 5th at bat will be :

$P(X=x)=(1-0.25)^{5-1}(0.25)\\\\=(0.75)^4(0.25)\\\\=0.0791015625\approx0.0791$

Hence, the probability that he will get his first hit on his 5th at bat is 0.0791 .

7 0

3 years ago

Describe the solutions inequalities.

lora16 [44]

Step-by-step explanation:

x greater than 9 AND x smaller than 9

x smaller than than 9 OR x greater than 9

x greater than or equal to 9 AND x smaller than or equal to 9

x smaller than or equal to 9 OR x greater than or equal to 9

I dunno if this is what you asked^^

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3 years ago

A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line se

lapo4ka [179]

Answer:

The length of the resulting line segment is 20 units and the length of a line segment is preserved on translation.

Step-by-step explanation:

The given length of the line segment is 20 units.

The line segment is translated up 6 units and left 8 units.

Here, the line segment is translated, so the whole line segment is at a new position after translation, there is no change in the length of the line.

So, the length of the line segment is preserved on translation.

After translation, the length of the line remains unchanged.

So, the length of the resulting line segment is 20 units.

3 0

4 years ago

Determine the solution to the system of equations given below y=x^2-5x+15

Maslowich

Answer:

x=(5+i*sqrt(35))/2, (5-i*sqrt(35))/2

Step-by-step explanation:

Use the quadratic formula with the following values.

a = 1

b = -5

c = 15

Substitute and simplify.

(5+-sqrt((-5)^2-4*(1*15)))/2*1

x = (5+-i*sqrt(35))/2

When you get a negative number inside the square root, remember that you can pull out i to make the number inside positive.

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3 years ago

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