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3 years ago

Write an equation in slope-intercept form for the line that passes through (2,-2) and is perpendicular to x + 5y =6

1 answer:

3 0

X + 5y = 6
5y = -x + 6
y = -1/5x + 6/5....the slope here is -1/5. A perpendicular line will have a negative reciprocal slope. All that means is flip the original slope and change the sign. So we flip -1/5 and make is -5/1....and we change the sign...making it 5/1 or just 5. So our perpendicular line will have a slope of 5.

y = mx + b
slope(m) = 5
(2,-2)...x = 2 and y = -2
sub and find b, the y int
-2 = 5(2) + b
-2 = 10 + b
-2 - 10 = b
-12 = b

so ur perpendicular equation is : y = 5x - 12 <=

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A theatre has seats arranged in rows of 24, 382 people attend a show at the theatre. What is the smallest number of rows that is

kipiarov [429]

Answer:

A minimum of 16 rows are needed

Step-by-step explanation:

Here, we want to calculate the number of rows minimum that could seat 382 people in rows of 24 seats.

Mathematically, what we need to do here is to make a division.

We shall divide the number of people by the number of seats in a row so that we can get the number of rows needed.

Mathematically, that would be; 382/24 = 15 22/24

We are looking at a minimum number.

So we can see that 15 rows will be filled, with an extra 22 seats in the next row leaving only 2 seats in the next row unoccupied.

So we can see that the minimum number of rows required is 16 rows

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3 years ago

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Salsk061 [2.6K]

Answer:

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Step-by-step explanation:

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3 years ago

What is 18.386 rounded to the nearest Hundred

jonny [76]

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3 years ago

Subtract.

faltersainse [42]

18 1/2 -17 3/4
= 18.50 -17.75
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The 4th selection is appropriate.

5 0

3 years ago

What is the equation of the line that is perpendicular to the line through (1,-4) and (-2,2) and passes through the x-intercept

ss7ja [257]

Answer:

y=- $\frac{1}{2}$ x+ $\frac{3}{2}$

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

=(2-(-4))/(-2-1)

=6/-3

=-2

in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

2x=6

x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=- $\frac{1}{2}$ x+3/2

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3 years ago