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3 years ago

Which angle is coterminal with a 645° angle?

Mathematics

1 answer:

velikii [3]3 years ago

5 0

Answer:

Step-by-step explanation:

Coterminal angles are angles that have a common terminal side.

So, given an angle θ, its coterminal angles will always be ±360°. This can be repeated.

We have a 645° angle.

Therefore, all values of the equation:

$645\pm 360n$

Where n is an integer is coterminal with our original angle.

Letting n = 1 and using the negative case, we acquire:

$\Rightarrow 645-360=285$

Therefore, an angle measuring 285° is coterminal with a 645° angle.

None of the other options can be reached by adding/subtracting 360.

Therefore, our answer is C.

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How do I find if this type of equation has one solution two solutions or no solution 5x^2+14=19 I tried using the b^-4ac method

mash [69]

Answer:

x = 5 and x = -19

Step-by-step explanation:

You're on the right track. It's the "discriminant" that tells you what you want to know here. Before starting, arrange the terms of your quadratic in descending orders of x: 5x^2 + 14x - 19 = 0 (Note that I assumed you meant 14x instead of just 14).

Then the coefficients of this quadratic are a = 5, b = 14 and c = -19.

You are referring to the "quadratic formula." It states this:

-b ± √(b²-4ac)

x = -----------------------

So, we insert the a, b and c values as indicated above:

-14 ± √( 14² - 4[5][-19] ) -14 ± √(196 - 4[5][-19] ) -14 ± √576

x = ----------------------------------- = ---------------------------------- = ----------------------

2(10) 20 20

This comes out to:

x = (-14 + 24) / 2 and x = (-14 - 24) / 2

or:

x = 5 and x = -19

8 0

4 years ago

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pashok25 [27]

Answer:

18) 21

19) 18

20) 27

21) 37

22) 38

23) 88

24) 95

25) 87

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27) 77

28) 85

29) 83

30) 64

31) 37

Step-by-step explanation:

Vamos a empezar por sustituyendo las expresiónes

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7 0

3 years ago

Graph 4x + y = 6x − 1. Show your work and explain the method used to determine the graph.

Alexus [3.1K]

Answer:
Graph the line using the slope and y-intercept, or two points.

Slope: 2
y-intercept: (0, -1)

x | y
0| -1
1 | 1

Step-by-step explanation:

8 0

3 years ago

Find the area of this parallelogram. Be sure to include the correct unit in your answer.

lilavasa [31]

Answer:

The area of this parallelogram is 140 square feet.

Step-by-step explanation:

A = bh

A = 14 * 10

A = 140

Hope this helps; have a wonderful day!

5 0

3 years ago

If 2x2+13x-7=0 then x could be equal to which of the following

ddd [48]

Answer:

x = - 7, x = $\frac{1}{2}$

Step-by-step explanation:

Given

2x² + 13x - 7 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 7 = - 14 and sum = + 13

The factors are + 14 and - 1

Use these factors to split the x- term

2x² + 14x - x - 7 = 0 ( factor the first/second and third/fourth terms )

2x(x + 7) - 1(x + 7) = 0 ← factor out (x + 7) from each term

(x + 7)(2x - 1) = 0

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = $\frac{1}{2}$

7 0

3 years ago