MATHEMATICS
MIDDLE SCHOOL

x^2-6x+y^2-4y-12=0

Answer:

Answer: + =

Step-by-step explanation:

The standard form of equation of a circle is written in the form:

+ =

where a and b are the coordinates of the center and r is the radius.

All we need to do is to covert the given equation into this form, how do we do that?

We will achieve this by using the completing method of solving quadratic equation.

Firstly re - write the equation , that is

- 6x + -4y = 12

The next thing is to Complete the square for each of x and y

How do we do this ?

i. multiply the coefficient of x and y by 1/2

ii. square the results

iii. Add the result to both sides of the equation , that is

- 6x + - 4y + = 12 ++

The next thing is to write the Left hand side of the equation as a perfect square binomial and simplify the Right hand side. That is

+ = 25 , that is

+ =

Which is now in standard form of the equation of a circle.

HIGH SCHOOL

Which number is divisible by 10? A. 113 B. 60 C. 137 D. 114

Answer: B. 60

Step-by-step explanation: the answer is 60 because anything divisible by 10 has to have a zero at the end. if there's no zero, it's not divisible by 10.

COLLEGE

Find the ratio of the increase in price to the original price. $6.60 to $11.00 per case of 12 quarts

MIDDLE SCHOOL

How do you find 42 percent of 122 dollars

122 x 0.42. To get 51.24

First divide 42/100, which =0.42

now multiply 0.42× 122 = $ 51.24

now multiply 0.42× 122 = $ 51.24

HIGH SCHOOL

A bean sprout grows 3 inches in its first week, 2 inches in its second week, and 1.333… inches in its third week. Of the sprouts growth follows this pattern, how much will the bean sprout have grown in its fourth week

Solution: We are given:

The first week, Bean sprout grows 3 inches

The second week, Bean sprout grows 2 inches

The third week, Bean sprout grows 1.333... inches

Bean sprout follows a particular each week. Every week it grew 2/3 (0.667) less than the week before.

For the first week it was 3 inches, for the second week it was inches, for the third week it was and therefore, for the fourth week it will be

Therefore, bean sprout have grown 0.8889 inches in its fourth week.