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2 years ago

What is the result of rotating the point (x, y) 270 degrees clockwise?

Mathematics

1 answer:

Fed [463]2 years ago

5 0

Answer:

270 Degree Rotation

Step-by-step explanation:

When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.

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The question is below

Cloud [144]

Answer:

See below.

Step-by-step explanation:

The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.

Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.

The formula for adding n positive integers starting at 1 is:

1 + 2 + 3 + ... + n = n(n + 1)/2

For figure 55, n = 55.

n(n + 1)/2 = 55(56)/2 = 1540

Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.

n(n + 1)/2 = 190

n(n + 1) = 380

We know that 380 = 19 * 20, so n = 19.

Answer: yes

Use the formula above,

S = n(n + 1)/2, where S is the sum.

n(n + 1) = 1478

38 * 39 = 1482

37 * 38 = 1406

3 0

2 years ago

The original price of a video game is $32.99 before tax. When Mario bought the video game it rang up as $26.39 before tax. He th

mihalych1998 [28]

Answer:

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

Step-by-step explanation:

Given that:

Part A:

Original price of video game = $32.99

Discounted price = $26.39

Amount of discount = 32.99 - 26.39 = $6.60

Discount percent = $\frac{Amount\ of\ discount}{Original\ price}*100$

Discount percent = $\frac{6.60}{32.99}*100 = 0.20*100$

Discount percent = 20%

Part B:

Sales tax = 8% of discounted price

Amount of sales tax = $\frac{8}{100}*26.39 = 0.08*26.39$

Amount of sales tax = $2.11

Total amount = $26.39 + $ 2.11 = $28.50

Hence,

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

5 0

2 years ago

M is directly proportional to r2 <br> When r=2, m=14<br> Work out the value of m when r=12

Genrish500 [490]

we have M is durectly porpotional to r^2

so M=(k)r^2

and when r=2, m=14

so 14=(k)(2)^2

k=14/4 =7/2

so when r=12

m= (7/2)(12)^2 =(7/2)(144) = 504

8 0

2 years ago

Help plz !!!!!!!!!!!!!!!!! These are so hard

OlgaM077 [116]

Answer:

$m=\frac{4}{9}$

Step-by-step explanation:

Using the slope formula:

$m=\frac{1+7}{10+8}=\frac{8}{18}=\frac{4}{9}$

6 0

3 years ago

Monica wants to measure the dimensions of her rectangular lawn. If the longer side of the lawn is (x + 3) feet and the diagonal

Juliette [100K]

Let us try and solve it analytically. We have that the side=x+3 together with the short side=s and the diagonal=x+4 satisfy the Pythagorean Theorem. Then we have that $(x+4)^2=(x+3)^2+s^2$ . This yields $s^2+x^2+6x+9=x^2+8x+16$
which yields s^2=2x+7, hence a) is the correct answer.

4 0

3 years ago

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