Answer:
5.96 x 10 2
Step-by-step explanation:
Answer:$3.672
rounded is $3.67
Step-by-step explanation:
Answer:
p = 4
Step-by-step explanation:
Given equation:

<u>Standard equation of a circle:</u>

(where
is the centre of the circle, and
is the radius)
If you expand this equation, you will see that the coefficient of
is always one.
Therefore, 

<u>Additional information</u>
To rewrite the given equation in the standard form:





So this is a circle with centre (2, -3) and radius √29
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.