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3 years ago

What is the center and radius of the circle? * x² – 2x + 5+ y² = 8

Mathematics

1 answer:

wolverine [178]3 years ago

5 0

Answer: center (1;0), radius = 2

Step-by-step explanation:

x² – 2x + 5+ y² = 8

x² – 2x + 5+ y² = x² – 2x + 1 + 4 + y² = (х-1)² +4 + y²

(х-1)² +4 + y² = 8

(х-1)² + y² = 8 - 4 = 4

(х-1)² + y² = 2²

center (1;0), radius = 2

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How do i find the volume of these similar solids? round to the nearest tenth HELP

FromTheMoon [43]

Answer:

The volume of the larger solid is $592.6\ mm^3$

Step-by-step explanation:

<u><em>The question is</em></u>

If these solids are similar, find the volume of the larger solid

step 1

Find the scale factor

we know that

If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the height of the larger solid in mm

y ----> the height of the smaller solid in mm

z ---> the scale factor

$z=\frac{x}{y}$

we have

$x=4\ mm\\y=3\ mm$

substitute

$z=\frac{4}{3}$ ---> scale factor

step 2

Find the volume of the larger solid

we know that

If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

x ----> the volume of the larger solid in cubic millimeters

y ----> the volume of the smaller solid in in cubic millimeters

z ---> the scale factor

$z^3=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=250\ mm^3$

substitute the values

$(\frac{4}{3})^3=\frac{x}{250}$

solve for x

$(\frac{64}{27})=\frac{x}{250}$

$x=250(\frac{64}{27})$

$x=592.6\ mm^3$

4 0

3 years ago

36. The average height of two cupboards is 1.5 metres. If cupboard B's height

Debora [2.8K]

Answer:

Step-by-step explanation:

2 * 1.5 = 3, the total height

we know that there are three metres total and 1 is half the other, so we divide 3m by 3 = 1m, the height of B,

as A = 2B, A = 2m

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3 years ago

How many terms are in a^2-ab+8b+b^2-1

DanielleElmas [232]

Remember that the terms of a polynomial are the parts of the polynomial separating by addition and subtraction; in other words, the parts separated by (+) and (-) signs. Knowing this, we can separate the terms of our polynomial:
$a^2-ab+8b+b^2-1$
- First term: $a^2$
- Second term: $-ab$
- Third term: $8b$
- Fourth term: $b^2$
- Fifth term: $-1$

We can conclude that there are 5 terms in the polynomial $a^2-ab+8b+b^2-1$ .

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3 years ago

How do I solve it. I am having trouble getting the answer

NNADVOKAT [17]

Answer:

Step-by-step explanation:

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3 years ago

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Lostsunrise [7]

Answer:

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Step-by-step explanation:

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3 years ago