Find the equation of the line through the point ( 3 , − 7 ) that is perpendicular to the line with equation y = x − 12 .

Mathematics

1 answer:

bixtya [17]3 years ago

5 0

Answer: y = -x - 4

Step-by-step explanation:

A perpendicular line has a slope that is the negative inverse of the reference line, which is y = x-12. The slope here is 1, so the negative inverse would be -1/1, or -1. The perpendicular line would therefore be:

y = -1x + b

We can find b by using the given point (3,-7) as a solution:

y = -1x + b

-7 = -1*3 + b

b = - 4

The equation is therefore y = -x - 4

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The sum of the measures of the interior angles in a convex polygon is 1,260°. How many sides does the polygon have?

gavmur [86]

The formula for working out the total interior is:

180(n-2) = 1260

So let’s rearrange by dividing both sides by 180 and find what n is:

n-2 = 7

Then let’s add 2 to both sides to find what n is:

n=9

Each interior angle is 1260/9 = 140°.
The sum of the interior angle and its corresponding exterior angle is 180°.

Therefore, the polygon has 9 sides. :)

3 0

2 years ago

The cost of 7 chairs and 2 tables is equal.If the cost of 6 chairs and 5 tables is 10575, find the cost of 12 chairs.

Igoryamba

Answer:

5400

Step-by-step explanation:

Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:

7x=2y

6x+5y=10575

We can solve this system using substitution.

Start by rewriting the first equation in terms of x.