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s2008m [1.1K]
2 years ago
11

Tutorial D

Mathematics
1 answer:
zalisa [80]2 years ago
6 0
The point is anywhere below 0 on the Y axis
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What is the radius of a circle whose equation is X^2 plus Y^2 -10X +6 X +18=0?
frosja888 [35]

ANSWER

The radius is 4

EXPLANATION

The given equation is:

{x}^{2}  +  {y}^{2}  - 10y + 6x + 18 = 0

We complete the square to get the expression in standard form:

{x}^{2}  + 6x +  {y}^{2}  - 10y  + 18 = 0

{x}^{2}  + 6x +  9 + {y}^{2}  - 10y  + 25  =  - 18 + 9 + 25

We factor using perfect squares to get:

{(x + 3)}^{2}  +  {(y - 5)}^{2} =  16

This implies that,

{(x + 3)}^{2}  +  {(y - 5)}^{2} =   {4}^{2}

Comparing to

{(x  - h)}^{2}  +  {(y - k)}^{2} =   {r}^{2}

The radius is r=4

3 0
3 years ago
Please help ASAP I don’t understand
madreJ [45]

Answer:

88 square inches

Step-by-step explanation:

if the entire square was shaded it would be 14 x 12  (as best as i can see)

the "cut out" or white part of the square is 8 x 10

Entire squre - cutout white part

14 x 12     -  8 x 10

168 - 80

88 sq in

4 0
3 years ago
PLS HELPPP 15 PTS!!!!!!!!!!!!
Natasha2012 [34]

Answer: 12.2

Step-by-step explanation:

4 0
2 years ago
Practice isolating the variable to solve equations with
bulgar [2K]

Answer:

9 =6x

Step-by-step explanation:

We know this is the answer because the -4x was cancelled out left to the equal sign, and 2x has now become 6x after adding 4x.

5 0
3 years ago
Ok needed asap and likee go in order
Ksenya-84 [330]

Answer:

4. A

5. B

6. C

Step-by-step explanation:

4.

In total there are 12 possible shakes.

The combinations are:

ice cream - pineapple - peanuts

ice cream - pineapple - granola

ice cream - strawberry - peanuts

ice cream - strawberry - granola

ice cream - banana - peanuts

ice cream - banana - granola

yogurt - pineapple - peanuts

yogurt - pineapple - granola

yogurt - strawberry - peanuts

yogurt - strawberry - granola

yogurt - banana - peanuts

yogurt - banana - granola

Therefore the chance is 1/12 for the combination ice cream, pineapple and granola.

5.

To find the total possible outcomes, count the last value in the tree diagram. There are 8 possible outcomes.

6.

Find the total number of balls by adding each of the colours.

1 + 3 + 8 = 12

There is 1 red ball. The probability of getting a red ball out of the total is 1/12.

The probability in words ordered in comparison to the fractions:

impossible-----unlikely------------likely-------------certain

0/12------------ 1/12--5/12--------7/12---11/12----------12/12

Since 1/12 is between 1/12 and 5/12, the possibility is unlikely.

8 0
3 years ago
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