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Nitella [24]
3 years ago
13

If P = (-1,-1), find the image

Mathematics
1 answer:
yawa3891 [41]3 years ago
6 0
<h3>Answer:     (-1, 1)</h3>

=========================================================

Explanation:

The rotation rule we use is (x,y) \to (y, -x)

The x and y coordinates step places, then the second coordinate (after the swap) changes in sign from positive to negative, or vice versa.

For example, the point (5,7) rotates to (7, -5). As another example, (2,-1) becomes (-1, -2). As another example, (-9,4) becomes (4,9).

----------------------------------

In our case, the point (-1,-1) will rotate to (-1, 1)

Note: A 270 degree counterclockwise rotation about the origin is the same as a 90 degree clockwise rotation about the origin. Refer to the diagram below.

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Calculate f(x) for the given domain values.
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

1. The given function is

f(x) =  - 3x

The domain values are: x=0, 2, -1, 4, -2

When x=0

f(0) =  - 3 \times 0 = 0

When x=2,

f(x) =  - 3 \times 2 =  - 6

When x=-1

f(x) =  - 3 \times  - 1  = 3

When x=4

f(4) =  - 3 \times 4 =  - 12

When x=-2

f( - 2) =  - 3 \times  - 2 = 6

2. The given function is

f(x) =  \frac{1}{3} x

When x=3,

f(3) =  \frac{1}{3}  \times 3 = 1

Similarly,

f( - 3) =  \frac{1}{3}  \times  - 3 =  - 1

f(300) =  \frac{1}{3}  \times 300 = 100

f( - 180) =  \frac{1}{3}  \times  - 180 =  - 60

f(99) =  \frac{1}{3}  \times 99 = 33

8 0
3 years ago
5) Naomi is sewing some clothing. She has 53 yards of fabric to use. She
EleoNora [17]

The inequality that represents the number of each type of fabric that Naomi has is:

9x+16y \leq 53

Let the number of short-sleeved shirts she made be x

Let the number of long-sleeved shirts she made be y

Length of clothes used to make a short-sleeved shirt = 9 yards

Length of clothes used to make a long-sleeved shirt = 16 yards

Length of short-sleeved shirts made = 9x

Length of long-sleeved shirts made = 16y

Total length of fabric used = 53 yards

The inequality that represents the number of each type of fabric that Naomi has is:

9x+16y \leq 53

Learn more on inequality here: brainly.com/question/15269537

6 0
2 years ago
Evaluate the expression b2- 15 if b=9
Rudiy27

Answer:

3

Step-by-step explanation:

just plug in 9 to b

9x2=18 18-15=3

4 0
2 years ago
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Ben bought a digital camera for $90. The tax rate is 6%. Which proportion can be used to find the amount of tax Ben will pay? A.
Radda [10]
(90*.06)(this is the percentage converted to a decimal) this should equal the amount of tax that Ben will pay.

So the answer would be
90*6%

5 0
3 years ago
How many 1 cup servings can be poured from 1 gallon of milk?
Phantasy [73]
There are 16 cups in a gallon. 
6 0
3 years ago
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