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Natalka [10]
3 years ago
12

What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y= x/3−1

?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0
Perpendicular lines have slopes that are opposite and reciprocal. Therefore, the line we are looking for has a -3 slope.
y= -3x+b

Now, we can substitute in the point given to find the intercept.
2= -3(4)+b
2= -12+b
b=14

Finally, put in everything we've found to finish the equation.
y= -3x+14
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Use the given equation to determine if the points in the brackets are on the graph
dmitriy555 [2]

The points in the brackets are on the graph are (0, 2) and (6, 10)

<h3>How to determine if the points in the brackets are on the graph?</h3>

The equation of the line is given as

4x - 3y = -6

The points are given as:

{(0,2),(1,3),(4,7),(6,10)}

Rewrite as

(x, y) = {(0,2),(1,3),(4,7),(6,10)}

Next, we substitute the x and y values in the equation 4x - 3y = -6

So, we have

(0, 2):

4(0) - 3(2) = -6

-6 = -6 ---- true

(1, 3):

4(1) - 3(3) = -6

-5 = -6 ---- false

(4, 7):

4(4) - 3(7) = -6

-5 = -6 ---- false

(6, 10):

4(6) - 3(10) = -6

-6 = -6 ---- true

Hence, the points in the brackets are on the graph are (0, 2) and (6, 10)

Read more about linear equations at:

brainly.com/question/2226590

#SPJ1

3 0
2 years ago
Please help i don’t understand this
avanturin [10]

Answer:

Step-by-step explanation:

The solution is in the attached file

3 0
2 years ago
Which is the best interpretation of the solution set for the compound inequality?
saw5 [17]

For this case we must find the solution set of the given inequalities:

Inequality 1:

3 (2x + 1)> 21

Applying distributive property on the left side of inequality:

6x + 3> 21

Subtracting 3 from both sides of the inequality:

6x> 21-3\\6x> 18

Dividing by 6 on both sides of the inequality:

x> \frac {18} {6}\\x> 3

Thus, the solution is given by all the values of "x" greater than 3.

Inequality 2:

4x + 3

Subtracting 3x from both sides of the inequality:

4x-3x + 3

Subtracting 3 from both sides of the inequality:

x

Thus, the solution is given by all values of x less than 4.

The solution set is given by the union of the two solutions, that is, all real numbers.

Answer:

All real numbers

8 0
4 years ago
Date : Page: b) An article is sold at 10% less its cost price. If he bad bought it 20% more than that he paid for it and sold it
mafiozo [28]

Use Ga_thMath(u) (brainly doesn't allow me to type it) To use the app u need to take a pic of the problem and then it will process it and you'll get ur answer ASAP(most of the time). Many questions have been asked before so search it on brainly.

6 0
3 years ago
20 POINTS TO ANYONE! HURRYYYY HURRY HURRY
Oksi-84 [34.3K]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
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