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BigorU [14]
3 years ago
5

For the graph x = 1 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your an

swer with two or more sentences.
Mathematics
1 answer:
andriy [413]3 years ago
8 0

Answer:

perpendicular : y = 1

x = 1 is a vertical line infinitely long at x = 1. so, we also know that y = 1 is a horizontal line at y = 1. Hence, they are parallel

parallel : x = 2

since x = 1 is a vertical line at x = 1, we can get another vertical line at the x- axis, which will be parallel to the given line. hence, x = 2 is a vertical line at x = 2, as it is at a distance of 2 units from the initial line no matter where, x = 2 is parallel to x = 1

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What is 1/5 of 1/2 of 1/4 of 152?
Alona [7]
1/5 of 152 is 30.4
1/2 of 152 is 76
1/4 of 152 is 38

hope this helped :)



4 0
3 years ago
Read 2 more answers
Which is the graph of f(x) = (x + 3)(x – 2)?
vodka [1.7K]
Looks like this
Everything in one picture

4 0
3 years ago
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Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

b) Substitute general point of L in the plane to find the intersecting point

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

i.e. same point given.

3 0
3 years ago
If there are 25 students in a class and 16 of them are girls, what percent of the students are girls? Please explain.
Kipish [7]

16 out of 25 are girls

16/25

multiply by 4/4

percent means out of 100

64/100

64 percent are girls

7 0
3 years ago
Read 2 more answers
a utility worker is 5.5 feet tall and is casting a shadow 4 feet long at the same time a nearby utility pole casts a shadow 20 f
Assoli18 [71]

So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.


Understanding that we know the shadow lengths, we can turn these into a fraction such as so:


4ft/20ft.


Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.


Your fraction for that would look like:


5.5ft/X


Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.

Now we can solve.

4ft/20ft =5.5ft/X


We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:


4x = 110ft


This is a simple one step equation. Divide both sides by 4 to get your answer.

x= 27.5ft.

This means your Utility pole's height is 27.5ft.

6 0
3 years ago
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