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2 years ago

Write an equation of the line passing through point P that is perpendicular to the given line.

Mathematics

2 answers:

cluponka [151]2 years ago

6 0

Answer:

y = 1/3x + 8

Step-by-step explanation:

1. Find slope of y = -3x+13

(m = -3)

2. Compute slope for perpendicular line

(m = 1/3)

basically, to find the perpendicular slope, you swap the numerator and denominator of your slope and swap it from negative to positive. (If you started with a positive slope it would turn negative)

3. Find the line with slope m=1/3 that passes through (6,0)

(y = 1/3x + 8)

katovenus [111]2 years ago

4 0

Answer:

y = 1/3x + 8

Step-by-step explanation:

*perpendicular means the reciprocal slope of the given line

m = 1/3

y = 1/3x + b

*plug in points with the point-slope equation

10 = 1/3(6) + b

10 = 2 + b

b = 8

*now plug everything into the equation

y = 1/3x + 8

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Solve each inequality

forsale [732]

Answer:

x > -2
n ≤ -2 or n ≥ 8

Step-by-step explanation:

Add 7x-2 to both sides and collect terms.

2x +2 -6x +7x -2 > -4 -7x +7x -2

3x > -6

x > -2 . . . . . . . divide by 3

Solve these one at a time, and form the union of the answers.

1 +7n ≤ 15 . . . .given

7n ≤ 14 . . . . . . subtract 1

n ≤ 2 . . . . . . . divide by 7

-2n -2 ≤ -18 . . . given

-2n ≤ -16 . . . . . add 2

n ≥ 8 . . . . . . . . divide by -2

The solution is n ≤ -2 or n ≥ 8.

4 0

2 years ago

-19x + 23x = 44 what is x

matrenka [14]

Step-by-step explanation:

- 19 x + 23 x = 44

4x = 44

x = 44/ 4

x = 11

Hope it will help :)

6 0

3 years ago

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d1i1m1o1n [39]

Answer:eu noa

Step-by-step explanation:falo inglês

3 0

3 years ago

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What are the minimum, first quartile, 20 70 13 15 23 17 40 51

malfutka [58]

Answer:

Minimum 13

First quartile 16

Step-by-step explanation:

Rewrite the sample 20 70 13 15 23 17 40 51 in ascending order:

13 15 17 20 23 40 51 70

The minimum is 13.

The median is the middle number

13 15 17 20 23 40 51 70

The middle number between 20 and 23 is

$\dfrac{20+23}{2}=21.5$

Consider first half of the sample

13 15 17 20

The first quartile is the middle number of this part. The middle number of

13 15 17 20

$\dfrac{15+17}{2}=16$

7 0

3 years ago

Find the values of x, y, and λ that satisfy the system of equations. Such systems arise in certain problems of calculus, and λ i

Nimfa-mama [501]

Answer:

x=4, y=4, λ=-16

Step-by-step explanation:

We have this 3x3 system of linear equations:

$4x+$ λ $=0$

$4y+$ λ $=0$

$x+y=8$

So, let's rewrite the system in its augmented matrix form

$\left[\begin{array}{cccc}4&0&1&0\\0&4&1&0\\1&1&0&8\end{array}\right]$

Let´s apply row reduction process to its associated augmented matrix:

Swap R1 and R3

$\left[\begin{array}{cccc}1&1&0&8\\0&4&1&0\\4&0&1&0\end{array}\right]$

R3-4R1

$\left[\begin{array}{cccc}1&1&0&8\\0&4&1&0\\0&-4&1&-32\end{array}\right]$

R3+R2

$\left[\begin{array}{cccc}1&1&0&8\\0&4&1&0\\0&0&2&-32\end{array}\right]$

Now we have a simplified system:

x+y+0=0

0+4y+λ=0

0+0+2λ=-32

Solving for λ, x, and y

λ=-16

x=4

y=4

3 0

3 years ago