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2 years ago

Write the equation of a line that is perpendicular to x=-6 and that passes through the point (-1 -2)

Mathematics

1 answer:

Anna11 [10]2 years ago

3 0

Equation of the line perpendicular to x = -6 is y = -2

Step-by-step explanation:

The equation of a line in the slope-intercept force is

$y-y_0 = m(x-x_0)$

where

m is the slope

$(x_0,y_0)$ are the coordinates of a point on the line

In this problem, we have already a point on the line:

$(x_0,y_0)=(-1,-2)$

Concerning the slope, we are told that the line is perpendicular to the line

x = -6

This line is a vertical line: therefore, our line must be a horizontal line, so its slope is

$m=0$

So now we can find the equation of the line:

$y-(-2)=0(x-(-1)\\y+2=0\\y=-2$

Learn more about parallel and perpendicular lines:

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The 4th term in a geometric sequence is -15, the 5th term is 45 and the 6th term is -135. Find the sum of the first 7 terms.

Andreas93 [3]

Answer:

d) 303 8/9

Step-by-step explanation:

4th term = ar^3 and 5th = ar^4 where a = first term and r = common ratio.

So ar^4 / ar^3

= r = 45/-15 = -3.

Working back,:

The first term a = ar^3/ r^3

= -15 / (-3)^3

= -15/-27

= 5/9

Sum of n terms = a * (r^n - 1)/(r-1)

= 5/9 * ((-3)^7 - 1 ) / (-3 -1)

= 303 8/9

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1 year ago

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mezya [45]

Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = $\frac{1}{4}$

The probability of Javier to attend exactly 4 events :-

P ( x = 4 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 3 events :-

P ( x = 3 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 2 events :-

P ( x = 2 ) = $\frac{3}{20}$

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P ( x = 1 ) = $\frac{1}{20}$

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P ( x = 0 ) = $\frac{1}{20}$

Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).

P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )

P ( x < 3 ) = $\frac{1}{20} + \frac{1}{20} + \frac{3}{20}$ $= \frac{1 + 1 + 3}{20}$ = $\frac{5}{20}$ = $\frac{1}{4}$ = 0.25 = 25 %.

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Answer:

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Step-by-step explanation:

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Lerok [7]

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2 years ago

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