Answer:
see explanation
Step-by-step explanation:
Expand the right side and then compare like terms with the left side.
(q + 2
)²
= q² + 4q + 12
= q² + 12 + 4q
Compare like terms with 28 + p
Comparing the terms gives
p = 4q
and comparing the constant terms gives
q² + 12 = 28 ( subtract 12 from both sides )
q² = 16 ( take the square root of both sides )
q = ± 
= ± 4
Hence
p = 4q = 4 × ± 4 = ± 16
Answer:
A. 9y-8x=23
B. 9y-8x=-23
C. 8y-9x=-23
D. 7y-8x=25
Step-by-step explanation:
Formula: y-mx=b
y=mx+b ------> y-mx=b
Put opposite signs
Ex: y=7x+2 ------> 7x-y=2
20 divided by 1683 is 0.011883541295306
Hi there!
24. 6x² + 19x + 3
1 3 multiply 6 × 3 = 18
6 1 multiply 1 × 1 = 1
18 + 1 = 19
(x + 3)(6x + 1)
I just simply found the two factors of 6 and 3 that can add up to 19.
This way is useful when the a and c don't have much factors.
27. 5y² + 13y + 6
1 2 5 × 2 = 10
5 3 1 × 3 = 3
10 + 3 = 13
(x + 2)(5x + 3)
30. 16x² + 16x + 3
For this one, 16 has a lot of factors. So you can try "Grouping" method.
You multiply 16 and 3. 16 × 3 =48
Find the factors of 48 that can add up to 16.
Hmm.. 12 and 4 would be great.
Then rewrite the equation.
16x² + 12x + 4x + 3
We would factor 16x² + 12x and 4x + 3 separately.
16x² + 12x 4x + 3 can't be factored more.
4x(4x + 3) 1(4x + 3)
(4x + 1)(4x + 3)
So your answers are....
24. (x + 3)(6x + 1)
27. (x + 2)(5x + 3)
30. (4x + 1)(4x + 3)
Hope this helped!!
