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RSB [31]
3 years ago
13

What is the relationship between triangle ABC and triangle A"B"C

Mathematics
1 answer:
PolarNik [594]3 years ago
8 0

SSS. the sides are proportional to each other. <u>AB </u>to <u>A”B”;</u> <u>BC</u> to <u>B”C”</u>; <u>AC</u> to <u>A”C”. </u>

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P(x)=Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,12).
Mila [183]

Answer:

The polynomial is:

p(x) = -x^3 - 2x^2 + 5x + 6

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

Zeros of −3, −1, and 2

This means that x_1 = -3, x_2 = -1, x_3 = 2. Thus

p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)

p(x) = a(x - (-3))*(x - (-1))*(x-2)

p(x) = a(x+3)(x+1)(x-2)

p(x) = a(x^2+4x+3)(x-2)

p(x) = a(x^3+2x^2-5x-6)

Passes through the point (1,12).

This means that when x = 1, p(x) = 12. We use this to find a.

12 = a(1 + 2 - 5 - 6)

-12a = 12

a = -\frac{12}{12}

a = -1

Thus

p(x) = -(x^3+2x^2-5x-6)

p(x) = -x^3 - 2x^2 + 5x + 6

6 0
3 years ago
Answer the following questions:
Bumek [7]
I already answered this queston. This is the answer:

1) Relationship of input and output values for a composite function.

The composition of the functions p(x) compose with q(x) is defined as:

(p ° q) (x) = p [q(x) ]

That means that the output of the function q(x) is the input of the function p(x).

2) Is the inverse of a function always a function?

No, the inverse of a function is not always a function.

Remember that a function cannot have two different outputs for the same input.

Given tha tthe outputs of the original function are the inputs of the inverse function and the inputs of the original are the outputs of the inverse, if the original function has two or more inputs that result in a same output, when you inverse the original function, the latter would have some inputs related with more than one output, which is the negation of a function.


5 0
3 years ago
A boy wins a carnial games 50% of the time. He uses a spinnser with equal-sized sections labeled 0 - 9 to simulate trials of the
Alenkasestr [34]

Answer:

412,424,121

Step-by-step explanation:

3/10 equals 309.

8 0
4 years ago
Read 2 more answers
What is the answer to this 1,100-684
olga55 [171]
The answer is 416 and thats it
8 0
3 years ago
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What is the scale of the number 546,980,214?
Damm [24]
Hundred millions⭐

Pls mark my answer as brainliest ✨

❤ Follow me ❤
7 0
3 years ago
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