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ruslelena [56]
3 years ago
8

Find the equation of the line that is perpendicular to LaTeX: y=-\frac{1}{5}x+3y = − 1 5 x + 3 and goes through the point (4, -3

). Put your answer in slope intercept form
Mathematics
1 answer:
Elenna [48]3 years ago
6 0

Answer:

y=5x-23

Step-by-step explanation:

step 1

Find the slope of the line that is perpendicular to the given line

we have

y=-\frac{1}{5}x+3 -----> given line

The slope of the given line is

m=-\frac{1}{5}

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

therefore

The slope of the line that is perpendicular to the given line is

m=5

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=5\\point\ (4,-3)

substitute

-3=5(4)+b

solve for b

b=-23

therefore

y=5x-23

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A line goes through the points (-1,9) and (1,1).Write the equation of this line in point slope form using one of these points.
Mashcka [7]

Answer:

y-9= -4(x+1)

Step-by-step explanation:

First, you should know what the format for point slope form is. y-y1=m(x-x1). Now, fill in the points to the x1 and y1 variables. It doesn't matter what ordered pair you use. If the number you fill in is negative, for example, -1, change it to a positive 1. If you're plugging in a positive number such as 9, it becomes -9. Now, it may look like this: y-9=m(x+1). However, you still need to find slope. You can use the expression y-y1/x-x1. 9-1=8. -1-1= -2. So, your slope is 8/-2. However, you can simplify this to -4. Now, plug in -4 to your equation to have your final answer: y-9=-4(x+1).

3 0
3 years ago
Identify three pythagorean triples using the known triple 8, 15, 17. What does this mean?​
ELEN [110]

Answer:

yes

Step-by-step explanation:

8² + 15² = 17²

64 + 225 = 289

289 = 289

8 0
3 years ago
When would you need to use a small standard deviation?
docker41 [41]

Answer:

You can also use standard deviation to compare two sets of data. For example, a weather reporter is analyzing the high temperature forecasted for two different cities. A low standard deviation would show a reliable weather forecast.

Step-by-step explanation:

4 0
3 years ago
Tell whether the lines through the given points are parallel, perpendicular, or neither. (-3,1), (1,9), (-2-9), (-1,-7)​
Brrunno [24]

Answer:

parallel

Step-by-step explanation:

all the details are in the attached picture.

4 0
3 years ago
SHOW WORK!!
denpristay [2]

If he puts 300 sunfish into the pond, he will put 225 perch in the pond.

<h3>What is a ratio?</h3>

A ratio is the comparison of one thing to another. Generally, ratios compares value.

They store the children pond keeping a ratio of 4 sunfish to 3 perch. Therefore, the ratio of sunfish to perch will be as follows

  • 4:3

If he 300 sunfish into the pond , the number of perch that will be in the pond can be calculated as follows:

  • 4 / 3 = 300 / x

cross multiply

4x = 900

x = 900 / 4

x = 225

learn more on ratios here: brainly.com/question/89456?referrer=searchResults

6 0
3 years ago
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