MATHEMATICS HIGH SCHOOL

Point P was rotated by 120(the center of rotation is indicated)​
Point P was rotated by 120(the center of rotation is - 1

Answers

Answer 1
Answer:

After rotating point P by 120 degrees around the indicated center of rotation, the new position of point P can be calculated using trigonometric principles and the fraction of a full rotation it has undergone, resulting in its new coordinates.

To find the new position of point P, we can use the following steps:

Draw a line segment from the center of rotation to point P.

Measure the angle between the initial position of the line segment and the final position after the rotation. In this case, the angle is 120 degrees.

Divide the angle of rotation by the number of equal parts in a full circle (360 degrees). This will give us the fraction of a full rotation that the point has undergone. In this case,

120/360 = 1/3 of a full rotation.

Using trigonometric functions (sine and cosine), calculate the new coordinates of point P based on its distance from the center of rotation and the fraction of the circle it has rotated through.

To know more about rotation here

brainly.com/question/34828607

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Answer 2
Answer:

Answer:

C

I think it is

hope this helps

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HELP QUICK ILL GIVE THE BRAINLIEST! Find three consecutive even integers for which -4 times the sum of the first and third integers is 192. Write and solve an equation.

Answers

Answer:

192x-4= -768

Step-by-step explanation:

-12x=-75-11y
-5x=-89-11y

Answers

12x - 11y = 75 . . . . . . . . (1)
5x - 11y = 89 . . . . . . . . (2)
(1) - (2): 7x = -14
x = -2
From (1): 12(-2) - 11y = 75
-24 - 11y = 75
-11y = 75 + 24 = 99
y = -9
Therefore, x = -2 and y = -9

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 3 units.
The graph of f(x) = x2 is shifted up 30 units.
The graph of f(x) = x2 is reflected over the x-axis.

Answers

Changing g(x) to this form: a(x-h) + k, we have:
g(x) = 4 (x+3)^2 - 6

Comparing this to the original equation, f(x) = x^2, we have the following transformations:

The graph is widened.
The graph is shifted left 3 units.

Using translation concepts, it is found that the correct option is given by:

The graph of f(x) = x² is shifted left 3 units.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that the original function is:

f(x) = x².

The translated function is:

g(x) = 4x² + 24x + 30.

Factoring it we have that:

g(x) = 4(x² + 6x + 7.5) = 4[(x + 3)² - 1.5].

Since x -> x + 3, the function was shifted left 3 units.

More can be learned about translation concepts at brainly.com/question/4521517

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5/6+3/7 in simplest fom

Answers

Get a common denominator:

5/6*7/7=35/42

3/7*6/6=18/42

Add the numbers:

35/42+18/42=53/42

This fraction does not simplify, so 53/42 is our final answer.
5/6 + 3/7

Common denominator is needed. 

5/6 = 35/42
3/7 = 18/42

Now add 

35 + 18 = 53

53/42 
53 - 42 = 11

1 and 11/42 

Each piece of fruit weighs 3/5 poundsWrite how many pieces of fruit you need so the total weight, in pounds is within the giving range

Answers

Answer:Between 1 and 1 1/2 pounds. (_8__)

Between 2 and 2 1/2 pounds. (_1_)

Devide 7/24 by 35/48and reduce the quotient to the lowest fraction

Answers

to divide fraction you divide by the reciprocal of the number you are dividing by

so....
7/24 ÷ 35/48 = 7/24 * 48/35

then just simplify

Hope this helps!
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