Which graph shows the sequence –7, –4, –1, 2, ...?

The answer is 3) Pythagorean.

A trigonometric identity derived from the Pythagorean theorem is called a Pythagorean identity.

Mathematically, the Pythagorean theorem states that

Hypotenuse^2 = Adjacent^2 + Opposite^2

Divide through by Hypotenuse^2

This gives

1 = cos^2(x) + sin^2(x)

Rewrite as:

cos^2(x) + sin^2(x) = 1

As a general rule, the above represents the basic Pythagorean identity.

Hence, the word that completes the blank is Pythagorean.

Read more about Pythagorean identity at:

https://brainly.com/question/1969941

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Work Shown:

a = 9, b = 12 are the two legs of the right triangle

c = unknown is the hypotenuse

Apply the pythagorean theorem to find c

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

c^2 = 225

c = sqrt(225)

c = 15

Answer:

15

Step-by-step explanation:

Since this is a right angled triangle we can use pythagoras theorem to work out the length of the hypotenuse, or the the longest side.

pythagoras theorem says that a²+b²=c² with c² being the hypotenuse, or missing side here.

12²+9²=225

Because 225 is equal to C², or C squared, we must take the square root in order to find the actual length.

√225 = 15

Answer:

I totally get why you are asking , how do I solve this.  there is so much implied about this

Step-by-step explanation:

1st you have to recognize that ∠ACB ( in my drawing ) has that same angle as the arc from A to B  ,  so that's implied.   next you have to recognize that the triangle formed by ACB with the 124 degree angle at C is an isosceles and therefore has identical angles at A and B  so that's  180 = 124 + 2A  , so A = 28° and so does B , then , b/c we know that small angle... you also have to know, that the line AC is perpendicular to AD.  that they from a right angle and there for... you now know , that ∠BAD is the other part of that 90 or 90= 28 + ∠BAD so  ∠BAD = 62°

I went through that kinda fast, there was several "leaps" of using logic to get to the correct answer , using things you know from prior understanding about angles , circles  and geometry,  you are putting all of the parts together here.  :/  kinda daunting in some ways.

Answer:

Scott filled (1/2 - 1/4) of the jar, or 1/4 of the jar this week.

Let me know if this helps!

Answer:

He filled his jar 1/4 more this week.

Step-by-step explanation:

The explanation is very simple, you know that he added 1/4 coins last week and this week he added more coins that filled the jar half way:

1/2 - 1/4 = 1/4

or you can also use:

1/4 + 1/4 = 1/2

2/25

4/50

8/100

this are the smallest fractions equivalent to 8%

Answer:

8/100

Step-by-step explanation:

8% = 0.08 = 8/100

let me know if you need more of an explaination <33

Answer:

Step-by-step explanation:

5.25

3.00

1.25

_____

$ 9.50

- 20.00

_______

$10.5

Answer:

I'm thinking it's -1 / 2

Step-by-step explanation:

not sure how but

Answer:

-1/2

Step-by-step explanation:

Why? Because 1/2 is bigger than 3/4

Answer:

Step-by-step explanation:

7x+10x-50=69

17x=69+50

x=7

Answer:

3

Step-by-step explanation:

Answer: 27

Step-by-step explanation:

Answer:

y = -3/4x - 1

Step-by-step explanation:

it is

Answer:

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that [tex]m = -\frac{1}{3}[/tex]

So

[tex]y = -\frac{1}{3}x + b[/tex]

Through the point (-6, -6)

This means that when [tex]x = -6, y = -6[/tex]. So

[tex]y = -\frac{1}{3}x + b[/tex]

[tex]-6 = -\frac{1}{3}(-6) + b[/tex]

[tex]b + 2 = -6[/tex]

[tex]b = -8[/tex]

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Answer:

1

Step-by-step explanation:

Answer and Step-by-step explanation:

When it says (f + g)(x), it means that it wants you to add the functions together.

So, let's add them.

[tex](2x^2 + 6x - 4) + (5x^3 -6x^2-3)\\\\\\5x^3 - 4x^2 + 6x - 7\\\\\\\\\\\\\\5x^3 - 4x^2 + 6x - 7[/tex]is the answer. (Answer choice B.)

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