Which of the following represents the measure of all angles coterminal with 418° angle?

Answers

Answer 1

Answer: The correct answer is:

58+360n, for any integer n.

Explanation:

412° is more than 360°, which is a full circle. To find the smallest angle that is coterminal with 412°, we subtract 360° from it:
412-360 = 58°

This means that 58° is the smallest coterminal angle with 412°.

Every whole circle added on to this will also be coterminal with it. Again, a whole circle is 360°; this means that every 360° increment that is added to 58° will be coterminal with it.

To represent multiples of 360, we write 360n. Adding this to our original angle, we have 58+360n.

This works for positive and negative numbers; for example, if you use n = -1:

58+360(-1) = 58-360 = -302

Graphing this angle, we would go counterclockwise from the positive x-axis; we would land at 58°, so it would still be coterminal with 412°.

Answer 2

Answer: 418° is the same angle as 360° + 58° .

And then, if you add any whole number of 360s onto it,
you get the same angle again.

So it's 58+360n with n=any whole number
(n=0 doesn't work, so it's not 'integer'. '0' is an integer.)

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How to solve which fraction is larger 10/13 or 11/14 or 14/15 or 17/18

Solve the equation. 3/4x+3-2x = -1/4+1/2x+5

Answers

Answer:

Step-by-step explanation:

Yes

Answer:

The answer is x=-1

Step-by-step explanation:

Which shows 232 − 172 being evaluated using the difference of perfect squares method?232 − 172 = (529 + 289)(529 − 289) = 196,320
232 − 172 = 529 − 289 = 240
232 − 172 = (23 + 17)(23 − 17) = (40)(6) = 240
232 − 172 = (23 − 17)2 = (6)2 = 36

Answers

difference of perfect squares is a² - b² = (a+b)(a-b)

Here, we can let 23 = a and 17 = b, so using this method, we have
23² - 17² = (23+17)(23-17) = 40 × 6 = 240

So third option is correct.

Answer:

Your answer is 23^2 − 17^2 = (23 + 17)(23 − 17) = (40)(6) = 240, or C on your answer sheet.

Step-by-step explanation:

Lets begin!

So when a binomial is composed of two perfect squares separated by a subtraction symbol, a certain method called the difference of perfect squares can be used. The difference of perfect squares method can be done by multiplying the sum and difference of the two square roots.

So, to solve:

23^2 - 17^2 = (23 + 17)(23-17) = (40)(6) = 240

Thus being your answer.

Always here to help a Brainly citizen! (✪㉨✪) Sincerely, Kelsey from Brainly

~ #LearnWithBrainly ~

Help please !Write a rule to describe the function shown.

x y
−3 9
−1 3
0 0
3 −9
y = 3x
y = −3x
y equals start fraction one over three end fraction x
y equals negative start fraction one over three end fraction x

Question 2 (Multiple Choice Worth 5 points)

(04.03 MC)

What is the slope of the line joining (10, 9) and (40, 3)?

−5
−4
negative start fraction one over five end fraction
start fraction one over five end fraction

Answers

Answer:

(1) Required function is $y=-3x$ . (2) Slope of line is $-(1)/(5)$ .

Step-by-step explanation:

The function passing through (-3,9), (-1,3), (0,0) and (3,-9).

From these points it is noticed that the value of function decrease by 6 if the value of x increases by 2 and y-intercept is (0,0).

$m=\frac{\text{change in y}}{\text{change in x}}=(-6)/(2)=-3$

Slope intercept of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

So, function is defined as

$y=-3x+0$

$y=-3x$

The required function is $y=-3x$ .

It is given that the line joining two points (10, 9) and (40, 3).

Slope of line is

$m=(y_2-y_1)/(x_2-x_1)$

$m=(3-9)/(40-10)=(-6)/(30)=-(1)/(5)$

Therefore slope of line is $-(1)/(5)$ .

Please solve the following simultaneous equation:
4x-3y=15
8x^2-27y^2=45

Answers

{ 4 x - 3y = 15
8 x² - 27 y² =45

Isolate y for 4 x - 3y = 15

4 x - 3y = 15 ( add 3y to both sides ):

4x-3y +3y = 15 + 3y

4x = 15 + 3y

Divide both sides by 4 :

4x / 4 = 15 + 3y / 4

x = 15+3y / 4

Plug the solutions x = 15+3y / 4 into : 8 x² - 27 y²=45

8 ( 15+3y / 4 )² - 27 y² = 45

1/2 ( 3y+15)² - 27 y² = 45

Multiply by LCD = 2

9 ( y+5)² - 54 y² = 90

-45 y² + 90 y + 225 = 90

- 45 y² + 90 y = 225 - 90

-45 y² + 90 y = 135 = 0

-45 ( y + 1 ) ( y - 3 ) = 0

Using the zero factor principle:

Solve ( y + 1 ) = 0

y = - 1

Solve ( y - 3 ) = 0

y = 3

y = -1 and y = 3

Plug the solution y = -1 , y = 3 into : 4 x - 3 y = 15

4 x - 3 y = 15 for - 1 :

4 x - 3 ( - 1 ) = 15

4 x + 3 = 15

4 x = 15 - 3

4 x = 12

x = 12 / 4

x = 3

For 3 :

4 x - 3 y = 15

4 x - 3 ( 3 ) = 15

4 x - 9 = 15

4 x = 15 + 9

4 x = 24

x = 24 / 4

x = 6

Therefore the final solution :

y = 3 , x = 6
y = - 1 , x = 3

hope this helps!

Jay has 8 apples and he ate 4 people how many apples does he have left?

Answers

Answer:

from the way you put it, it looks like he ate 4 people, so it looks like its 8 apples, but he ate 4 apples so its 4 apples.

Step-by-step explanation:

Can someone simplify this please

(x^3+2x^2-4)+(3x^2+6)

Answers

Answer:

x³+5x²+2

Step-by-step explanation:

DM me if you have other questions!

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