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elena-s [515]
2 years ago
6

Determine if the following lines are parallel (never intersect), perpendicular (intersect at a 90 degree angle), intersecting (i

ntersect at just one point), or coinciding (intersect at all points)?
y = -6x − 8, -x + 6y = 12

Mathematics
1 answer:
mihalych1998 [28]2 years ago
7 0

Answer:


These lines are perpendicular.

Step-by-step explanation:

Put both equations in the slope intercept form of a line.

y = -6x - 8  This is already in the slope intercept form for a line

-x + 6y = 12  Add x to both sides of the equation

6y = x + 12  Divide through the whole equation by 6

y = 1/6x +2  

Now we compare the two slopes of -6 and 1/6.  They are negative reciprocals of each other.  That means that the line are perpendicular.

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A factor of 24 but not 2 it would be 3
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A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighb
Sedbober [7]

Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

<h3>What are the variance and standard deviation?  </h3>

In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.

2,400; 1,750; 1,900; 2,500; 2,250; 2,100

we need to find which of the following represents the numerator in the calculation of variance and standard deviation.

(225)^{2} + (–425)^{2}+ (–275)^{2} + (325)^{2} + (75)^{2}+ (–75)^{2} = 423,750

(650)^{2} + (–150)^{2} + (–600)^{2} + (250)^{2} + (150)^{2} + (–300)^{2} = 980,000

(250)^{2} + (–400)^{2} + (–250)^{2} + (350)^{2} + (100)^{2} + (–50)^{2} = 420,000  

92416.60

The variance is 84000

The standard deviation is 290

mean = (2400+1750+1900+2500+2250+2100)/6

mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250

1750-2150 = -400

1900-2150 = -250

2500-2150 = 350

2250-2150 = 100

2100-2150 = -50

The differences are 250, -400, -250, 350, 100, -50

Then you square those values and add up the squares

(250)^2 +  (-400)^2 +  (-250)^2 +  (350)^2 +  (100)^2 +  (-50)^2 = 420,000

Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

Learn more about variance;

brainly.com/question/14116780

8 0
2 years ago
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kondaur [170]

Answer:

x = 110°

Step-by-step explanation:

Given that AB = AD then Δ ABD is isosceles and the base angles are congruent, that is

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The sum of the 3 angles in the triangle = 180°, that is

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3 years ago
How do you do this haaaa
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Answer:

7000

Step-by-step explanation:

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