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tatuchka [14]
3 years ago
8

Find the domain of each function using interval notation.

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0

Answer:

(3, \infty)

Step-by-step explanation:

You have the square root of an expression in the denominator.

A square root cannot have a negative number inside, but it can have zero or positive.

Since this square root is in the denominator, it also cannot have a zero inside; it can only have positive values inside. You must set the expression inside the square root greater than zero, and solve for x.

x - 3 > 0

x > 3

(3, \infty)

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Answer:

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Step-by-step explanation:

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3 years ago
For which value(s) of x are the triangles congruent?​
Varvara68 [4.7K]

Step-by-step explanation:

The solutions are 2 and 5

Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:

x^2 = 7x - 10

Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.

x^2 + 10 = 7x

Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.

x^2 - 7x + 10 = 0

Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.

(x - 2)(x - 5) = 0

You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.

x - 2 = 0

x = 2

One of the solutions is 2, because you add 2 to x to get 0.

x - 5 = 0

x = 5

The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.

2^2 = 7(2) - 10

4 = 14 - 10

So 2 is definitely a solution.

5^2 = 7(5) - 10

25 = 35 - 10

5 is also a solution.

Hope that helps :]

8 0
2 years ago
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The product of 4 and – 7, added to – 12 .
lina2011 [118]
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3 years ago
Compare |-5| to the |-10|. which of the following is true?
Zanzabum

Answer:

|-10| is greater than |-5|

Step-by-step explanation:

Absolute value must be positive.

It will always be the opposite of a negative.

6 0
2 years ago
Read 2 more answers
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