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givi [52]
1 year ago
5

What is the equation of the line that is perpendicular to y = 3x + 3 and passes through the point (−6, 9)?

Mathematics
1 answer:
Ludmilka [50]1 year ago
7 0

The equation of the line will be equal to 3y = -x + 21.

A line may be defined as the straight figure drawn which has no end points. The equation of a line can be written in slope intercept form as y = mx + c where m is the slope of line, c is y intercept an x and y are independent and dependent variables. If a point (x₁, y₁) is given then equation of line is (y - y₁) = m (x - x₁). The slope of line which is perpendicular to a given line having slope m is equal to -1/m.

Now, equation of line is y = 3x + 3. If we compare with slope intercept form then, m = 3. Now, slope of line perpendicular to this line is equal to -1/3. Now, equation of line passing through point (-6, 9) is given as

(y - 9) = -1/3 (x + 6)

3y - 27 = -x - 6

=> 3y = -x + 21 which is the required equation of line.

Learn more about Slope intercept form at:

brainly.com/question/9317111

#SPJ1

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8 0
4 years ago
A boat must carry aluminum pieces for a construction project that weighs, in total, no more than 50,000 kilograms. Each aluminum
sergey [27]

Answer:

Step-by-step explanation:

Let b represent the number of beams.

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7 0
3 years ago
Let g(x)=3x+2 and f(x)= x-2/3
son4ous [18]

Answer:

1.) 1 1/3 or 4/3

2.) 6

3.) 8

Step-by-step explanation:

Function composition substitutes more than just values or constants. It substitutes functions inside another function. Solve each expression by starting inner most and working to outermost.

1.) f(g(0))  = 1 1/3

Let g(x)=3x+2 and f(x)= x-2/3.

Begin with g(0) = 3(0) + 2 = 2.

Substitute x = 2 into f(x).

f(2) = (2) - 2/3 = 1 1/3

2.) g(f(2))  = 6

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Begin with f(2) = 2 - 2/3 = 1 1/3.

Substitute x = 1 1/3 into g(x).

g(1 1/3) = 3( 1 1/3) + 2 = 3(4/3) + 2 = 4 + 2 = 6

3.) g(g((0))

Let g(x)=3x+2.

Begin with g(0) = 3(0) + 2 = 2.

Substitute x = 2 into g(x).

g(2) = 3(2) + 2 = 8

7 0
4 years ago
Let n=0.555…
Natalka [10]
1=1.11
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3 0
3 years ago
200 gallon tank fills at 3 gallons/minute and loses 2 gallons/minute how long does it take to fill up
goblinko [34]

it fills at 3 gallons per minute, but loses 2 gallons per minute

 3-2 =1, so it fills at 1 gallon per minute

200 gallons at 1 gallon per minute = 200 minutes,

200/60 = 3 hours and 20 minutes

7 0
4 years ago
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