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frozen [14]
3 years ago
6

Find an equation of the line that passes through the point (2, -8) and is perpendicular to the line 2x-6y=10

Mathematics
1 answer:
OLEGan [10]3 years ago
8 0

9514 1404 393

Answer:

  3x +y = -2

Step-by-step explanation:

First of all, it is helpful to put the given equation in standard form. We can do that by dividing it by 2 to eliminate the common factor from the numbers.

  x -3y = 5

Next, since you want the perpendicular line, you can swap the coefficients of x and y, and negate one of them. This can give you ...

  3x +y = (some constant)

The constant will be found using the given point.

  3x +y = 3(2) +(-8) = -2 . . . the perpendicular line

An equation is ...

  3x +y = -2

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The dot plot shows the number of pencils each boy has at his desk in class.
Elanso [62]

Answer:

The median is 2

Step-by-step explanation:

Here, we want to get the median for the number of pencils

Firstly, we have to write out the numbers that form the box plot ; we have this as;

1,1,1,2,2,2,2,3,3,5

the median is sum of the 5th and 6th term divided by 2

The 5th term is 2

The 6th term is 2

So the median is;

(2 + 2)/2

= 4/2 = 2

3 0
3 years ago
the RATIO of floor seats to balcony seats in a theaters is 20:1. does this theater have more floor seats or more balcony seats?
GalinKa [24]
Yes, this theater has more floor seats than balcony seats simply because of the ratio. Your answer is actually in the question. For example, if you have 100 floor seats, then according to the ratio you should only have 5 balcony seats.  So yes, there are more floor seats than balcony seats.
3 0
2 years ago
Given: AABC is a right triangle.
IgorLugansk [536]

Answer:

19.365

Step-by-step explanation:

The Pythagoreum Theorum tells us that:

a² + b² = c²

where a and b are the legs and c is the hypotenuse.

BC is a leg; we'll lable it a.

AC is the hypotenuse thus labled c.

Plugging their lengths into the above formula will solve for the missing leg length.

5² + x² = 20²

25 + x² = 400

x² = 375

✓x = ✓3 x (5 x 5) x 5

x = 5✓15

x = 19.365

5 0
2 years ago
Solve the following system of equations:<br> y = 4x - 6<br> 5x - 4y = -9
antoniya [11.8K]

Answer:

(X=Y)=(3,6)

Step-by-step explanation:

5x-4(4x-6)=-9

x=3

y=4x3-6

y=6

5 0
3 years ago
Read 2 more answers
How do i factor the expressions 4w-16?
igomit [66]
The answer to this would be 4(w-4)
7 0
3 years ago
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