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kvv77 [185]
4 years ago
10

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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Step 1. Simplify 6 - 4(-x-9)-5 to -4(-x-9) + 1

4 - 5(2x + 11) + 6x = -4(-x-9) + 1

Step 2. Expand

4 - 10x - 55 + 6x = 4x + 36 + 1

Step 3. Simplify 4 - 10x - 55 + 6x to -51 - 4x

-51 - 4x = 4x + 36 + 1

Step 4. Simplify 4x + 36 + 1 to 4x + 37

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Step 5. Add 51 to both sides

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Step 6. Simplify 4x + 37 + 51 to 4x + 88

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Step 7. Subtract 4x from both sides

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Step 8. Simplify -4x - 4x to -8x

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Step 10. Simplify 88/8 to 11

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3 years ago
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4. (a)(i)Show that log4x=2log16x. (ii)Show that log x=3logb³ x. (iii) Show that log₂x=(1+log₂3)logix.​
alexdok [17]

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2 years ago
A number y increased by 5 is at least -21
gayaneshka [121]

                - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -

\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}

             ❖ A number y increased by 5 is at least -21.

\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}

          ❖ First, if you come across the word "increased" it means we

    "increase" a number, or add something to that number, like

y increased by 5 \longmapsto \sf{y+5}

Now, we are also given that this expression is at least -21, which means it can't be -21; it can be -21 or it can be greater than -21.

So we have

\longmapsto\sf{y+5\geq -21}}

<em>Solving for y</em>

<em></em>

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\longmapsto\sf{y\geq -21-5}

\longmapsto\sf{y\geq -26}

So the values of y greater than or equal to -26 will make this inequality true.

<h3>Good luck with your studies.</h3>

 \rule{300}{1}

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