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Mathematics

2 answers:

GaryK [48]3 years ago

8 0

When you make a graph you would start on the x axis and go over 6.5 and up 2

Charra [1.4K]3 years ago

7 0

Use A Graph

I Hope This Helped!

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NEED HELP!!!!!!!!!!!!!!!!!!!!!

Likurg_2 [28]

I think the answer is C not to sure

3 0

3 years ago

Read 2 more answers

Show that for any real number x ≥ 0 the set (x,x + 1]∩N is a singleton set

inessss [21]

Answer: First, a singleton set is the set with only one element, for example, the set {∅} or set "null" is a singleton.

now, X ≥ 0, and X ∈ R.

(x,x + 1]∩N is the intersection between the set x and x+1 with the set of natural numbers, so the result of this operation is the set of all the natural numbers between x and x+1.

if x is a rational (or irrational) number, such as 1.5, then x +1 = 2.5

in (1.5, 2.5] there is only one natural element, the 2, then (x,x + 1]∩N is the singleton {2}

if x is a positive integer number, such as 1, then x + 1 = 2

the set is (1,2] is important to notice that 1 ∉ (1,2] because the set is open in the lower limit. so this set only contains one natural number, the 2; so again; the intersection with the natural set is a singleton

So this is proven for x rational, irrational and integers.

This happens because each element in the natural set is separated by the next one by 1, and in the set (x,x + 1] although the distance between the lower and upper limits is 1, the set is open in the lower limit, so the distance is < 1. then you never can have two natural numbers on this set.

8 0

3 years ago

Using a pencil, paper, and protractor, or a drawing program, draw an isosceles triangle that has exactly one 50° angle. Use the

Ira Lisetskai [31]

Sorry my lighting is really bad.

Note: my drawing is NOT to scale (because I don't have a protractor)

Ok so an isosceles triangle has 2 congruent sides and 1 other side. That means that the (one) 50° angle is the vertice (edge) of the 2 congruent sides. The vertice of the other sides are 65° because the angles of a triangle add up to 180°.

180°-50°=130°

The other angles are the same so 130° ÷ 2 = 65°

Since the two longer sides are congruent, mark them with one line each.

The other side is different so mark that with two lines.

If another person were given these same instructions, their drawing would look the same.

If you had a protractor, there would be a slight difference but it would still look the same (because a protractor is a tool that is very exact and it is quite accurate).

Also, if you didn't have a protractor, it wouldn't be the same.]

But even if someone else's drawing look different than yours (and mine), but the point would be the same because they know the congruent sides by the markings and they know the angles.

So if another person saw these same instructions and drew the triangle, it would look the same, but it wouldn't be exactly similar.

♡ Hope this helps! ♡