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o-na [289]
3 years ago
10

Write a function to represent each series of transformations:

Mathematics
1 answer:
Nataly [62]3 years ago
3 0
<h3>Answer:</h3>

f((x, y)) = (-y, -x)

<h3>Step-by-step explanation:</h3>

Rotation 90° CCW about the origin is the mapping ...

... (x, y) ⇒ (-y, x)

Reflection across the x-axis is the mapping ...

... (x, y) ⇒ (x, -y)

Together, these do the following mapping:

... (x, y) ⇒ (-y, -x) . . . . . . . equivalent to a reflection across y = -x

Expressed as a function, this might be written ...

... f((x, y)) = (-y, -x) . . . . . . . the ordered pair argument becomes a new ordered pair

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Hey! i need help plz
tia_tia [17]
X=6 and y=-9. Not sure if y is correct since I kind of rushed but I hope this helps!
6 0
3 years ago
There are 20,000 members of a zoo. The percent of
schepotkina [342]

1500 members have a contributor  membership.

64.8% of the noncontributory  memberships are individual memberships.

<u>Step-by-step explanation:</u>

There are 20,000 members of a zoo.

⇒ Total members = 20,000

From the graph shown,

7.5% of the members have a contributor  membership.

<u>To find the number of members who have contributor  membership :</u>

⇒ 7.5% of 20,000

⇒ (7.5/100) × 20,000

⇒ 7.5 × 200

⇒ 1500 members.

Therefore, 1500 members have a contributor  membership.

<u>To find the percentage of the noncontributory  memberships are individual memberships :</u>

The percentage of noncontributory  memberships = 100% - 7.5% ⇒ 92.5%

The percentage of individual memberships = 60%

∴ What percentage of the noncontributory  memberships are individual memberships ⇒ (60 / 92.5) × 100 = 64.8%

3 0
3 years ago
The can shown has a diameter of 3 inches and a height of 5 inches. Find the lateral surface area of the can.
beks73 [17]

Answer:

Lateral surface area of can = 47 inch² (Approx.)

Step-by-step explanation:

Given:

Diameter of given can = 3 inches

Height of given can = 5 inches

Find:

Lateral surface area of can

Computation:

Radius of can = 3 / 2 = 1.5 inch

Lateral surface area of can = Lateral surface area of cylinder

Lateral surface area of cylinder = 2πrh

Lateral surface area of can = 2πrh

Lateral surface area of can = 2(3.14)(1.5)(5)

Lateral surface area of can = 47.1

Lateral surface area of can = 47 inch² (Approx.)

6 0
3 years ago
A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. The napkin has a perimeter of 38 c
gavmur [86]
The area of plate which is covered by the napkin is equal to the area of folded napkin.

Before finding the area of folded napkin, we should find the dimension of the napkin.
Find the length of the leg side, the two leg has similar length.
perimeter = 38
l + l + 8 = 38
2l + 8 = 38
2l = 30
  l = 15
Each leg is 15 cm long.

Find the area of folded napkin
area = 1/2 × s × s × sin of angle between the sides
area = 1/2 × 15 × 15 × sin 30°
area = 1/2 × 15 × 15 × 1/2
area = 225/4
area = 56.25
to the nearest whole number >> 56 cm²
The answer is third option
6 0
3 years ago
Read 2 more answers
How does the value of 874.12 change if the decimal point is moved two places to the left?
Rashid [163]

Answer:

C

Step-by-step explanation:

When you move the decimal either to the right or the left, you change the value. To divide any number by 10, move the decimal point one place to the left. For example:  

0.7

7

70

700

7,000

So, for any decimal, when you move the decimal point one place to the right, you multiply that number by 10.

3 0
3 years ago
Read 2 more answers
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