Answer:
x^2 + 7x + 12
Step-by-step explanation:
This is a product of two binomials. There's a formula:
(a + b)(c + d) = ac + ad + bc + bd.
Therefore, (x + 3)(x + 4) = x^2 + 3x + 4x + 12 = x^2 + 7x + 12
Answer:
x = 2
Step-by-step explanation:
The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...
(2√3)(2√3) = x(x +4)
12 = x² +4x
16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square
4² = (x +2)² . . . . . . . . write as squares
4 = x +2 . . . . . . . . . . positive square root
2 = x . . . . . . . . . . . . . subtract 2
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<em>Alternate solution</em>
If you believe x to be an integer, you can look for factors of 12 that differ by 4.
12 = 1×12 = 2×6 = 3×4
The factors 2 and 6 differ by 4, so x=2 and x+4=6.
2.16 x 10 to the power of -4
So 8x3 = 24
24 + 12x
the common factor is 12
so you divide everything by 12
24 ÷ 12 = 2
12x ÷ 12 = x
final answer: 12 (2+x)
It comes out to 0.8775 so it rounds to about $0.88
