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Tju [1.3M]
3 years ago
6

What is the image of the point (2, -3) after a rotation of 180° counterclockwise

Mathematics
1 answer:
horsena [70]3 years ago
5 0

Answer:

(-2, 3)

Step-by-step explanation:

  • <em>When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative</em>

<u>Point (2, -3) becomes:</u>

  • Point (-2, 3)
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person A buys 12 granola bars and 7 cups of yogurt for $15.50. person B buys six granola bars and 11 cups of yogurt for $11.50.
tino4ka555 [31]

50 per cup. If we plug this in to each equation, you'll see that 12 granola bars equals $12, and 7 cups of yogurt equals $3.50, for a total of $15.50.

7 0
2 years ago
A. Name the smallest angle and the largest angle of the following triangles: F 6 S 5 1. A J 5.03 7 5 G B H 5.1 2. D 4 3 E​
I am Lyosha [343]

Answer:

  (smallest, largest) = (B, C), (D, E), (G, J)

Step-by-step explanation:

Side lengths of a triangle are proportional to the sine of the opposite angle. In a triangle, a larger angle will always have a larger sine. That means the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

__

<h3>ΔABC</h3>

The shortest side is 5 units, opposite angle B. The longest side is 7 units, opposite angle C.

  • smallest angle: B
  • largest angle: C
<h3>ΔDEF</h3>

The shortest side is 3 units, opposite angle D. The longest side is 5 units, opposite angle E.

  • smallest angle: D
  • largest angle: E
<h3>ΔGHJ</h3>

The shortest side is 5 units, opposite angle G. The longest side is 5.1 units, opposite angle J.

  • smallest angle: G
  • largest angle: J

_____

<em>Additional comment</em>

Angles in a triangle may exceed 90°. The sine function actually is decreasing for angles above 90°. However, since the total of angles of a triangle must be exactly 180°, there <em>cannot be two angles in a triangle such that the smaller angle has the larger sine</em>.

6 0
2 years ago
Write a number that is less than - 10
ra1l [238]
Any number from -10 to -∞ would be correct. One example is -79.
8 0
3 years ago
I need help getting the answer to this question. ​
saveliy_v [14]

Step-by-step explanation:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

I think this should help ya! -Furreto

5 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Alborosie

Answer:  tan(V)=2.92

Step-by-step explanation:

For this exercise you need to remember the following Trigonometric Identity:

tan\alpha =\frac{opposite}{adjacent}

You must observe the figure given in the exercise.

You can notice that the given triangle UVW is a Right triangle (because it has an angle that measures 90 degrees).

So, you can identify in the figure that:

\alpha =V\\\\opposite=UW=35\\\\adjacent=VW=12

Knowing these values, you can substitute them into  tan\alpha =\frac{opposite}{adjacent}:

tan(V)=\frac{35}{12}

Now you must evaluate:

tan(V)=2.916

Finally, rounding to the nearest hundreth, you get:

tan(V)=2.92

7 0
3 years ago
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