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4 years ago

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

Mathematics

1 answer:

wolverine [178]4 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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12.) Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer

Maru [420]

Answer:

Step-by-step explanation:

Given Parallel lines Converse

a. ∠13 ≅ ∠17 a║c Corresponding angles

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3 years ago

Kyle rides his bicycle 15 mph for 2 hours how far does he travel

Cerrena [4.2K]

Answer:

30mph

Step-by-step explanation:

Kyle rides his bike 30mph,

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3 years ago

Read 2 more answers

Dorit wants to make farmer’s cheese. She knows that for 2 gallons of milk, she will need 14 teaspoon of rennet. She only has 12

Alexeev081 [22]

Answer:

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2 years ago

part of the proceeds from a garage sale was $370 worth of $5 and $20 bills. If there were 4 mote $5 bills and $20 bills, find th

Ainat [17]

Answer:

I am confused by this

Step-by-step explanation:

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3 years ago

Need to find volume, step by step explanation pls <br><br><br><br>

worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

$V_1=\dfrac{2}{3}\pi r^3$

Where, r is the radius of the hemisphere.

$V_1=\dfrac{2}{3}(3.14)(6)^3$

$V_1=\dfrac{6.28}{3}(216)$

$V_1=452.16$

Volume of cylinder is:

$V_2=\pi r^2h$

Where, r is the radius of the cylinder and h is the height of the cylinder.

$V_2=(3.14)(6)^2(12)$

$V_2=(3.14)(36)(12)$

$V_2=1356.48$

We know that,

$l^2=r^2+h^2$ [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

$(10)^2=(6)^2+h^2$

$100-36=h^2$

$\sqrt{64}=h$

$8=h$

Volume of cone is:

$V_3=\dfrac{1}{3}\pi r^2h$

Where, r is the radius of the cone and h is the height of the cone.

$V_3=\dfrac{1}{3}(3.14)(6)^2(8)$

$V_3=\dfrac{25.12}{3}(36)$

$V_3=301.44$

Now, the volume of the combined figure is:

$V=V_1+V_2+V_3$

$V=452.16+1356.48+301.44$

$V=2110.08$

Therefore, the volume of the given figure is 2110.08 cubic units.

7 0

3 years ago