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Lady bird [3.3K]
2 years ago
15

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

Mathematics
1 answer:
KonstantinChe [14]2 years ago
8 0

Answer:

(2,3) becomes A'(-2,-3)

Step-by-step explanation:

Using the 180 cc rotation rule (x,y) --> (-x,-y). Points 2 and 3 become negative resulting in (-2,-3)

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A gift box has a volume of 450 cubic inches. The width of the box is 4 inches less than the length. The height is twice the widt
VashaNatasha [74]

Answer:

width = 5 in

length = 5+4=9 in

height = 2(5)= 10 in

Step-by-step explanation:

A gift box has a volume of 450 cubic inches.

Let 'w' be the width of the box

The width of the box is 4 inches less than the length.

length = w+4

The height is twice the width.

height = 2 \cdot width

height = 2w

Volume of box = length times width times height

V=(w+4)(w)(2w)

450=(w+4)(w)(2w)

450=2w^3+8w^2

2w^3+8w^2-450=0

\quad 2\left(w-5\right)\left(w^2+9w+45\right)=0

w-5=0

w=5

\quad\left(w^2+9w+45\right)=0, this gives two complex values

so width = 5

length = 5+4=9

height = 2(5)= 10

5 0
3 years ago
30 PTS!!! ANYONE GOOD AT MATH PLS HELP!
siniylev [52]

Answer:

\frac{2}{\sqrt{5} }

Step-by-step explanation:

To solve this, all we need to do is draw a triangle.  

From the arctan(2) we can deduce that tan(x)=\frac{2}{1}

From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is  \sqrt{5}

Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse

This gives us the value of \frac{2}{\sqrt{5} } which is our answer.

8 0
3 years ago
Photo above <br><br>please answer
alina1380 [7]
I THINK the answer would be around 2/3/4 paper clips, I'm not sure. And keep in mind, I;m not responsible for any wrong answers/ invalid responses.
5 0
3 years ago
1. Gummy worms are $3.50 per pound
Alexxandr [17]
The constant of proportionality is 3.50 since gummy worms are sold at the same rate per pound.

3.50x, equation
3.50(2.5) = $8.75 for 2.5 pounds
3 0
3 years ago
Find the slope between the given two points (2, 1) and (8, 9)
Juliette [100K]

Answer:

4/3

Step-by-step explanation:

9-1/8-2=

8/6=4/3

8 0
3 years ago
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