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Novosadov [1.4K]
3 years ago
13

A 12.000-gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will it take to fill thi

s pool 3/4 full?​
Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Answer:

2

Step-by-step explanation:

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Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo
Alla [95]

Answer:

\displaystyle y=-\frac{1}{2}x+4

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

y - 12 = 2x -8

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

y = 2x +4

The coefficient of the x is the slope

m=2

The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-\frac{1}{2}

We know the second line passes through (2,3). That is enough information to find the second equation:

y-y_o=m'(x-x_o)

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

Operating

\displaystyle y=-\frac{1}{2}(x-2)+3

Simplifying

\displaystyle y=-\frac{1}{2}x+4

That is the equation in slope-intercept form. Intercept: y=4

8 0
3 years ago
Tan x + pi / 6 what is this equal to?
Scilla [17]
If tan (x)+pi/6=0

thn

tan (x)=-pi/6

take atan of both sides

x=atan (-pi/6)
x= -0.4823 rad
= -27.636 deg
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Use the slope-intercept method to graph the equation y=2x-4. Is (3,2) a solution?
Andru [333]
Yes, (3, 2) is a solution to y = 2x - 4. (:
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Bryson drove 42 miles on Monday. On Tuesday, he drove 12 miles less than he did on Monday. Find the ratio of miles driven on Tue
iogann1982 [59]

Answer:

Tuesday : Total = 30 : 72 = 5 : 12

Step-by-step explanation:

Monday: 42 miles

Tuesday: 42 - 12 = 30 miles

Monday + Tuesday: 42 + 30 = 72 miles

Tuesday : Total = 30 : 72 = 5 : 12

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3 years ago
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