Answer:
B
Step-by-step explanation:
Given
(4x + 3)(3x - 4)
Each term in the second factor is multiplied by each term in the first factor, that is
4x(3x - 4) + 3(3x - 4) ← distribute both parenthesis
= 12x² - 16x + 9x - 12 ← collect like terms
= 12x² - 7x - 12
The coefficient of the x- term is - 7 → B
Triangle AGB is congruent to Triangle CGB.
Answer:
(n - 8n)(m+8n)
Step-by-step explanation:
x² - y² = (x - y)(x + y)
In this situation, the "x" = m and the "y" = 8n
So,
m² - 64n² = (n - 8n)(m+8n)
Answer:
15,000$
Step-by-step explanation:
According to the information given, profits are divided equally into 4 parts
Since the total profit for the first month is 100,000$ each party will receive a sum of 25,000$. This means that Y also receives the same amount
Now if the profits were divided in proportion to the investments made we first find the proportion on investment made by Y.
The total investment made is 6000$ + 2000$ + 8000$ + 4000$ = 20,000$. Out of this, the amount invested by Y is 8000$
finding the proportional profit of Y
=40,000$
So Y receives 40,000 - 25,000 = 15,000 less
Answer:
Step-by-step explanation:
x²+10x+21=0
x²+10x+(10/2)²-(10/2)²+21=0
x²+10x+25-25+21=0
(x+5)²-4=0
(x+5)²=4
(x+y)²=(x+y)(x+y)=x(x+y)+y(x+y)=x²+xy+xy+y²=x²+2xy+y²
(x+y)²=x²+2xy+y²
coefficient of x=2y
y²=[(coefficient of x)/2]²=(2y/2)²=y²