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3 years ago

What is the Pythagorean Theorem

Mathematics

1 answer:

Vlad [161]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

The Pythagorean theorem is for right triangles. It uses the two legs and the hypotenuse

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

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P(S) = 5/8 P(T) = 1/8 If S and T are mutually exclusive events, find P(S or T),

Aleks04 [339]

Answer:

P(S ∪ T) = 3/4

Step-by-step explanation:

Given:

P(S) = 5/8
P(T) = 1/8

For mutually exclusive events S and T,

P(S ∪ T) = P(S) + P(T)

Therefore,

P(S ∪ T) = (5/8) + (1/8)

= 6/8

= 3/4

6 0

2 years ago

Indicate a general rule for the nh term of this sequence. 12a, 15a, 18a, 21a, 24a,...

adelina 88 [10]

Answer:

The general rule for the nth term of this sequence will be:

$a_n=3na+9a$

Step-by-step explanation:

Given the sequence

12a, 15a, 18a, 21a, 24a,...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

Here,

a₁ = 12a

computing the differences of all the adjacent terms

d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a

using the nth term formula

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = 12a, d = 3a

$a_n=12a+\left(n-1\right)3a$

$=12a+3na-3a$

$=3na+9a$

Therefore, the general rule for the nth term of this sequence will be:

$a_n=3na+9a$

6 0

3 years ago

**Need to get this all done** Evaluate functions from their graph g(3)=??

sesenic [268]

Answer:

Step-by-step explanation:

g(x) is the graph. g(3) is where the graph has a value of 3 for x.

5 0

3 years ago

Part A. Find the domain and range

Rasek [7]

Answer:

d. {(-2, 5), (-1, 2), (0, 1), (1, 2), (2, 5)}; Domain: {-2, -1, 0, 1, 2}; Range: {1, 2, 5}

Step-by-step explanation:

Part A:

Domain = the set of all x-values plotted on the x-axis = {-2, -1, 0, 1, 2}

Range = the set of all possible y-values on the y-axis that corresponds with the x-values = {1, 2, 5}

Part B:

The set of coordinates that describes the function on the graph are:

When x = -2, y = 5 => (-2, 5)

When x = -1, y = 2 => (-1, 2)

When x = 0, y = 1 => (0, 1)

When x = 1, y = 2 => (1, 2)

When x = 2, y = 5 => (2, 5)

The set of coordinates is:

{(-2, 5), (-1, 2), (0, 1), (1, 2), (2, 5)}

8 0

3 years ago

Please help, this is due today at 3PM

Agata [3.3K]

It decreases by -.4 over 1

6 0

3 years ago

Read 2 more answers