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4 years ago

Form the intersection for the following sets. M=( ) N = {6, 7, 8, 9, 10) MON =

Mathematics

1 answer:

Annette [7]4 years ago

8 0

Answer:

M∩N = { }

Step-by-step explanation:

We have the two sets:

M={ } , N={6,7,8,9,10}

We have to find the intersection of these two sets.

The intersection of two sets is the set which contains the elements of both sets(common elements). We can denote it as M∩N

Every set contains an empty set.

In the given sets we can find the intersection as:

M = { } , N={6,7,8,9,10}

M∩N = { } ....

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What is the value of 4x+9, When x=4?

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

Replace 4 for x in this equation

(4)(4)+9

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Hope this helps!

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3 years ago

Read 2 more answers

What is the domain of f?

lana [24]

Answer: C) All real values of x such that $x \le 0$

In other words, x must be 0 or smaller.

===================================================

Explanation:

The reason why is because we must make the stuff under the square root to never be negative. We must make -2x be 0 or larger.

So,

$-2x \ge 0 \\\\-2x+2x \ge 0+2x \ \text{ ... add 2x to both sides}\\\\0 \ge 2x\\\\2x \le 0 \ \text{ ... flip both sides, and the inequality sign}\\\\x \le 0/2 \ \text{ ... divide both sides by 2}\\\\x \le 0$

As an example, if x = -2, then -2x = -2(-2) = 4 is positive. Applying the square root to a positive number is valid.

But if x = 5, then -2x = -2*5 = -10 is under the square root, which is not allowed.

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3 years ago

If length and width of a rectangle are in the ratio 4 to 5 and the perimeter of the rectangle is 144, find the dimensions of the

Zinaida [17]

Answer:

So dimension of rectangle are :

Length = 32

Width = 40

Step-by-step explanation:

Let the length of rectangle be 4x and width of rectangle be 5x.

Remember ratio of length and width is 4 to 5.

Perimeter of rectangle is given as 144.

i.e 2 (length +width) = 144

or 2 ( 4x + 5x ) = 144

Solving this for x, we get :

or 9x = 144/2

or 9x = 72

or x = 72/9

or x = 8

So dimension of rectangle are :

Length = 4 x = 4*8 = 32

Width = 5x = 5*8 = 40

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4 years ago

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Nadya [2.5K]

Answer:

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Step-by-step explanation:

Using the point slope form of a line equation, substitute m = 3/5 and the point (0,-2).

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4 years ago

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Lilit [14]

Answer:

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Step-by-step explanation:

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3 years ago