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3 years ago

Given the flag ABCDE, determine the single rule (x,y) that creates the

Mathematics

1 answer:

cricket20 [7]3 years ago

6 0

Answer:

(y, -x)

Step-by-step explanation:

Rotation of 90°

(Clockwise)

(x, y) ---> (y, -x)

Rotation of 90°

(CounterClockwise)

(x, y) --> (-y, x)

Rotation of 180°

(Both Clockwise and Counterclockwise)

(x, y) ---> (-x, -y)

Rotation of 270°

(Clockwise)

(x, y) ---> (-y, x)

Rotation of 270°

(CounterClockwise)

(x, y) ---> (y, -x)

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4. Write an equation for the line that is parallel to the given line and that passes

pentagon [3]

Answer:

$y=\frac{5}{2}x-14$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

1) Determine the slope (m)

$y=\frac{5}{2}x-10$

In the given equation, $\frac{5}{2}$ is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of $\frac{5}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{5}{2}x+b$

2) Determine the y-intercept (b)

$y=\frac{5}{2}x+b$

Plug in the given point (-6,-29) and solve for b

$-29=\frac{5}{2}(-6)+b$

Simplify -6 and 2

$-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b$

Add 15 to both sides to isolate b

$-29+15=-15+b+15\\-14=b$

Therefore, the y-intercept is -14. Plug this back into $y=\frac{5}{2}x+b$ :

$y=\frac{5}{2}x-14$

I hope this helps!

4 0

2 years ago

Evaluate the expression when r = 3. 15r

Liula [17]

Answer:

Step-by-step explanation:

Because if you replace the r with 3, it would be 15(3).

15(3) is the same as 15 × 3.

15 × 3 = 45

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Please Mark as brainliest it will make my day! Thank you! :)

8 0

2 years ago

Pls help i give u brainliest and 5 stars

Umnica [9.8K]

Answer:

Step-by-step explanation:

Diameter = 14 cm

r = 14/2 = 7 cm

Outer surface area of hemisphere =2πr²

= 2π*7*7

= 98π cm²

3 0

2 years ago

Read 2 more answers

- 7 x2 15 3 2 +7 x - 5 3 15 12

jeka94

Answer:What number must be multiplied by 3 to obtain 15? ... Example 11 A student solved the equation 5x - 3 = 4x + 2 and found an answer of x = 6. ... Example 12 3x = 6 and 2x + 1 = 5 are equivalent because in both cases x = 2 is a solution. ... + 3x = 7x + 2 - 4x can be changed to a simple equation x = 3, and the equation x = 3 is .

Step-by-step explanation:

7 0

3 years ago

At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own

Margaret [11]

Answer:

Step-by-step explanation:

Given that At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own both catand dog and some people own both gold fish and cat. No dog owners owngoldfish. There are twice as many people who own both goldfish and catthan people who own both dog and cat.

Total no of people =52

The venn diagram attached gives a clear picture

assuming x to be owners of both dog and cat. Then 2x is for both goldfish and cats.

Totalling all mutually exclusive we get

64-3x=52

x=4

No of owners who own both cat and dog =4

7 0

3 years ago