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Lisa [10]
3 years ago
12

Rotate 90 degrees clockwise about (0,0)

Mathematics
1 answer:
Rasek [7]3 years ago
4 0
Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M’ (k, -h).
You might be interested in
two times a number is subtracted from 25 the result is the same as when it is added to six times.find the number​
ExtremeBDS [4]

Answer:

6.3

Step-by-step explanation:

1. 25 - 2n = n + 6

2. 25 = 3n + 6

3. 3n = 19

4. n = 6.3

8 0
2 years ago
What two numbers multiply to -126 and add up to -65
Airida [17]
Xy = -126
x + y = -65

xy = -126
\frac{xy}{x} = \frac{-126}{x}
y = \frac{-126}{x}

x + y = -65
x + \frac{-126}{x} = -65
\frac{x^{2}}{x} + \frac{-126}{x} = -65
\frac{x^{2} - 126}{x} = -65
-65x = x^{2} - 126
0 = x^{2} + 65x - 126
x = \frac{-(65) \+ \sqrt{(65)^{2} - 4(1)(-126)}}{2(1)}
x = \frac{-65 \± \sqrt{4225 + 504}}{2}
x = \frac{-65 \± \sqrt{4729}}{2}
x = \frac{-65 \± 68.8}{2}
x = \frac{-65 + 68.8}{2}  or  x = \frac{-65 - 68.8}{2}
x = \frac{3.8}{2}  or  x = \frac{-133.8}{2}
x = 1.9  or  x = -66.9

     x + y = -65
  1.9 + y = -65
- 1.9           - 1.9
           y = -66.9
    (x, y) = (1.9, -66.9)

or

        x + y = -65
  -66.9 + y = -65
+ 66.9        + 66.9
              y = 1.9
        (x, y) = (-66.9, 1.9)

The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.
3 0
3 years ago
Rewrite the product as a sum: 10cos(5x)sin(10x)
mote1985 [20]

Answer:

10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

Step-by-step explanation:

In this question, we are tasked with writing the product as a sum.

To do this, we shall be using the sum to product formula below;

cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]

From the question, we can say α= 5x and β= 10x

Plugging these values into the equation, we have

10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]

= 5[sin (15x) - sin (-5x)]

We apply odd identity i.e sin(-x) = -sinx

Thus applying same to sin(-5x)

sin(-5x) = -sin(5x)

Thus;

5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]

= 5[sin (15x) + sin (5x)]

Hence,  10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

8 0
3 years ago
Jamie owns about 3 times as much books as Carly. Jamie owns 42 books write an equation and use it to estimate the number n of bo
Marina CMI [18]

Answer:

Carly owns 14 books.

Step-by-step explanation:

42/3= 14

hope this helps!!! (:


4 0
3 years ago
8n-13=13-8n can someone answer with steps, please?
NARA [144]

Answer:

1.625

Step-by-step explanation:

Add 13 to both sides

8n = 26 - 8n

Add 8n to both sides

16n = 26

Divide both sides by 16

Your answer is 1.625

Hope I helped :)

Please consider Brainliest for me :)

(unless the other person does a better job)

(Which they probably will) :)

4 0
3 years ago
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