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tangare [24]
3 years ago
8

What is the domain and range for f(x)=x^2

Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer:

Domain: all real numbers

Range: y ≥ 0

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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

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

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
2 years ago
PLEASE HELP
Alexeev081 [22]
Its may be A or C
i am not sure just try to help
4 0
3 years ago
What is the sum of the interior angles of a nonagon?
SSSSS [86.1K]
To find the sum of the interior angles of a nonagon, divide it up into triangles... There are seven triangles... Because the sum of the angles of each triangle is 180 degrees... We get

7 * 180 = 1260°

So, the sum of the interior angles of a nonagon is 1260 degrees.

3 0
3 years ago
Read 2 more answers
Suppose you borrow money for 6 months. If the interest rate is compounded monthly, the formula
Alinara [238K]

Answer:

$1045.85.

Step-by-step explanation:

A=p(1+r/12)^6

Here  r = 0.09, P = $1000 so

Amount of money needed to pay off the loan =

1000(1 + 0.09/12)^6

= $1045.85.

6 0
3 years ago
Where is the hole for the following function located f(x)= x+3/(x-4)(x+3)
Marizza181 [45]
In a rational function, holes are located where f(x) is undefined(the denominator is 0), but the undefined points can be factored out. In f(x), when x is 4 or -3, f(x) is undefined. But, x+3 can be factored out, so it is a hole. The hole is located at (-3,-1/7)
6 0
3 years ago
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