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2 years ago

Which pair of angles are vertical angles?

Mathematics

2 answers:

Katen [24]2 years ago

7 0

Well vertical angles are the two opposite angles made by two intercepting lines, in this case those lines are sye, and ayl.

Therefore two opposite angles produced by these lines are syl and eya.

The answer is A.

vlada-n [284]2 years ago

4 0

I the best answer would be A

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Find the mode of the following data: 5, 0, 5, 4, 12, 2, 14

Arte-miy333 [17]

Answer:

Step-by-step explanation:

5 0

2 years ago

Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

$f'(x) = 3x^2 - 2$

We approximate $f(x)$ at $x_1=2$ with the tangent line,

$f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18$

The $x$ -intercept for this approximation will be our next approximation for the root,

$10x - 18 = 0 \implies x_2 = \dfrac95$

Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

Then

$\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}$

Once more. Approximate $f(x)$ at $x_3$ .

$f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}$

Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately 1.769292354, matching up to the first 5 digits after the decimal place.

4 0

1 year ago

State who is correct and explain why

Ivan

Answer:

12.4+3√7 is irrational

Step-by-step explanation:

12.4 is a rational number

3√7 is an irrational number

The sum of a rational number and an irrational number is irrational.

So, 12.4+3√7 is irrational

4 0

3 years ago

Determine the slope of the line given the graph 3,-3 and 0,2

BigorU [14]

Answer:

$\displaystyle m = \frac{-5}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Planes

Reading a coordinate plane
Coordinates (x, y)

Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Step-by-step explanation:

Step 1: Define

Identify points

Point (0, 2)

Point (3, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{2 + 3}{0 - 3}$
Simplify: $\displaystyle m = \frac{-5}{3}$

7 0

2 years ago

Alaska has 1,700,000 square kilometers. Flordia has a landarea one tenth the size of Alaska. What is the landarea of Florid

Scrat [10]

The land area of Florida is 170 000 square kilometres, this is because 1 700 000 divided by 10 is 170 000.

8 0

3 years ago