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3 years ago

Identify the center of the circle whose equation is (x - 2)2 + (y + 8)2 = 16.

Mathematics

2 answers:

qwelly [4]3 years ago

7 0

I believe the answer to your question would be x = -y + 2

astra-53 [7]3 years ago

3 0

2x - 4 + 2y + 16 = 16
16 - 4 = 12
2x + 2y + 12 = 16
16 - 12 = 4
4/2 = 2x + y
2/2 = 1x + y

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The length and width of a rectangular room are measured to be 3.955±0.005m. Calculate the area of the room and its uncertainty i

Margarita [4]

Answer:

The area of the room and its uncertainty in square meters is:

15.642±0.040 $m^2$

Step-by-step explanation:

We know the area of a rectangular room is the multiplication of the length and width:

$Area= 3.955m*3.955m\\Area= 15.642 m^2$

Now we need to know the uncertainty, the uncertainty of a multiplication is:

$\frac{δ_a}{|Area|} =\frac{δ_L}{|L|}+\frac{δ_W}{|W|}$ (1)

$δ_A$ : Area uncertainty

$δ_L$ : Length uncertainty

$δ_W$ : Width uncertainty

A: Area of the room

L: Length

W: Width

Clearing the uncertainty of the area:

$δ_A=(\frac{δ_x}{|x|}+\frac{δ_y}{|y|})*Area$ (2)

$δ_A=(\frac{0.005}{|3.955|}+\frac{0.005}{|3.955|})*15.642 m^2$

$δ_A= 0.040 m^2$

The area of the room and its uncertainty in square meters is:

15.642±0.040 $m^2$

6 0

3 years ago

A triangle has a priemeter of 65.5 feet. One side of the triangle is 22.7 feet, the second side is 12.9 feet, what isthe length

Alecsey [184]

The last side of the triangle would be 29.9

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4 years ago

Use Gauss-Jordan elimination to solve the following linear system.

Nataliya [291]

C I have done this before

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4 years ago

In an interval whose length is z seconds, a body moves (32z + 2z^â€Š2â€Š) ft. What is the average speed v of the body in this in

Goryan [66]

This question is incomplete, the complete question is;

In an interval whose length is z seconds, a body moves (32z + 2z²) ft.

What is the average speed v of the body in this interval?

Answer: the average speed v of the body in this interval is 32 + 2z ft/s

Step-by-step explanation:

Given that;

Length of travel = z seconds

also the body moves (32z + 2z²) ft

i.e

distance travelled = (32z + 2z²) ft

average speed v of the body in this interval = ?

Now to get the Average Speed

we simply say;

Average Speed V = (32z + 2z²) / z

Average Speed V = 32 + 2z ft/s

Therefore the average speed v of the body in this interval is 32 + 2z ft/s

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3 years ago

How to convert each mixed number into a improper fraction?

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Follow these 3 steps to convert mixed numbers to improper fractions:

Multiply the whole number by the denominator

Add the answer from Step 1 to the numerator

Write answer from Step 2 over the denominator

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1 year ago