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3 years ago

Part a) Write the equation of the circle by completing the square.

Mathematics

1 answer:

Veronika [31]3 years ago

4 0

X² +4x+y²-2y=20
x²+2*2x+4 +y²-2y+1 =20+4+1
(x+2)²+(y-1)²= 25
(x+2)²+(y-1)²= 5²
center (-2,1)

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2 years ago

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3 years ago

17. Evaluate each pair of expressions.<br> a. (-3)-8 and -3-8<br> b. (-3)-9 and -3-9

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3 years ago

Define the mathematical base <br>And give an example

lyudmila [28]

Answer:

Answer below

Step-by-step explanation:

A base is the number of digits in a number system. For example in the decimal number system we use the 10 digits ( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ). So it has the base 10.

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6 0

3 years ago

Nora and Lila are reading the same novel for book club. Nora is on page 128 and plans to read 8 pages per day until the next clu

REY [17]

Answer:

Both will be at the same page after 6.5 days and the page number will be 180.

Step-by-step explanation:

Let after x days Nora and Lila will be at the same page.

Nora is on page 128 and plans to read 8 pages per day until the next club meeting.

After x days Nora will be at the page number = 128 + 8x

Similarly, Lila is on page 102 and she reads 12 pages per day.

After x days Lila will be on page number = 102 + 12x

Since after x days they will be at the same page

Therefore, 128 + 8x = 102 + 12x

12x - 8x = 128 - 102

4x = 26

x = $\frac{26}{4}$

x = 6.5 days

Page number they will be on = 128 + 8(6.5)

= 128 + 52

= 180

Both will be at the same page after 6.5 days and the page number will be 180.

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3 years ago