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3 years ago

Suppose the diameter of a circle is 6 units. What is its circumference?

Mathematics

1 answer:

Basile [38]3 years ago

6 0

C=2•pi• R
D=6 then the radius is 3
2•Pi•3 =18.85

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Find x and y so that the quadrilateral is a parallelogram.

sergiy2304 [10]

Answer:

Result:

The value of x = 12

The value of y = 21

Step-by-step explanation:

Given

The parallelogram DEFG

DE = 6x-12

FG = 2x+36

EF = 4y

DG = 6y-42

We know that the opposite sides of a parallelogram are equal.

As DE and FG are opposite sides, so

DE = FG

substituting DE = 6x-12 and FG = 2x+36 in the equation

6x-12 = 2x+36

6x-2x = 36+12

simplifying

4x = 48

dividing both sides by 4

4x/4 = 48/4

x = 12

Therefore,

The value of x = 12

Also, EF and DG are opposite sides, so

EF = DG

substituting EF = 4y and DG = 6y-42 in the equation

4y = 6y-42

switching sides

6y-42 = 4y

6y-4y = 42

2y = 42

dividing both sides by 2

2y/2 = 42/2

y = 21

Therefore,

The value of y = 21

Result:

The value of x = 12

The value of y = 21

3 0

3 years ago

Solve 2(9-x) = 3 ( x +16 )

andreyandreev [35.5K]

Answer: x=-6

Step-by-step explanation:

Let's solve your equation step-by-step.

2(9−x)=3(x+16)

Step 1: Simplify both sides of the equation by distribution

$2(9-x)=3(x+16)\\(2)(9)+(2)(-x)=(3)(x)+(3)(16)\\18+-2x=3x+48\\-2x+18=3x+48\\$

Step 2: Subtract 3x from both sides.

$-2x+18-3x=3x+48-3x\\-5x+18=48$

Step 3: Subtract 18 from both sides.

$-5x+18-18=48-18\\-5x=30$

Step 4: Divide both sides by -5.

$\frac{-5x}{-5} =\frac{30}{-5} \\x=-6$

3 0

2 years ago

What is the equation of the line that passes through the points (-2,3) and (1,9)?

stellarik [79]

The answer is y= -3x - 3

hope that helps!

5 0

3 years ago

Read 2 more answers

2/5y-4+7-9/10y simplify

Vaselesa [24]

- y - 6
------------
2

6 0

3 years ago

Read 2 more answers

How would you describe this translation using complete sentences? *should be well thought out, descriptive, and accurate respons

Zielflug [23.3K]

In the given translation, each point is reflected about y-axis.

Compare the coordinates from the figure:

$A=(0,7)$ and $A'=(0,7)$

$B=(-4,2)$ and $B'=(4,2)$

$C=(-2,-3)$ and $C'=(2,-3)$

$D=(0,-3)$ and $D'=(0,-3)$

When a point is reflected about y-axis, the sign of $x$ -coordinate changes and the $y$ coordinate remains the same.

Here, the $y$ -coordinates of the point and their images is same and the sign of the $x$ -coordinates changes.

Also, it can be seen that the distance of each point from $y$ -axis is same as the distance of its image from $y$ -axis.

So, in the given translation, each point is reflected about y-axis.

Learn more about reflection here:

brainly.com/question/14022588?referrer=searchResults

8 0

2 years ago