<span>f(x) = (x – 4)(x + 2),
x-intercept means that f(x) = 0.
0 = (x-4)(x+2)
(x-4)=0, x= 4, point (4,0)
(x+2)=0, x = -2, point (-2,0)
This graph has 2 x-intercepts: (4,0) and (-2,0).
From given answers we can choose only </span>(-2,0).
<h3>Given</h3>
A(-3, 1), B(4, 5)
<h3>Find</h3>
coordinates of P on AB such that AP/PB = 5/2
<h3>Solution</h3>
AP/PB = 5/2 . . . . . desired result
2AP = 5PB . . . . . . multiply by 2PB
2(P-A) = 5(B-P) . . . meaning of the above
2P -2A = 5B -5P . . eliminate parentheses
7P = 2A +5B . . . . . collect P terms
P = (2A +5B)/7 . . . .divide by the coefficient of P
P = (2(-3, 1) +5(4, 5))/7 . . . . substitute the given points
P = (-6+20, 2+25)/7 . . . . . . simplify
P = (2, 3 6/7)
The hypotenuse must always be c
Well for starters 10% of 120$ is 12$. 120+12=134...
This means 140 - 134=6
Answer: $6 of change
Area of a rectangular yard:
A 1 = L x W = 7 x * 6 x = 42 x²
Area of a pool :
A 2 = r² π = ( 2 x )² π = 4 x² π
A = A 1 - A 2 = 42 x² - 4 x² π
The answer must be in terms of π:
B ) 42 x² - 4 x² π
