Which expression is equivalent to: (x +9)(x+3)
2 answers:
Answer:
C
Step-by-step explanation:
To solve use the FOIL method, First, Outside, Inside, Last. This means to multiply the first terms, the ones on the outsides, the ones on the insides, and finally the last ones.
First, multiply x*x=
Then, multiply x*3= 3x
Next, multiply 9*x= 9x
Finally, multiply 9*3= 27
To simplify put all of the products together, +3x+9x+27, then add like terms
+12x+27, so the answer is C.
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9514 1404 393
Answer:
7 square units
Step-by-step explanation:
There are several ways the area of triangle EBD can be found.
- find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).
- define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.
- figure the area from the coordinates of the vertices.
- use Pick's theorem and count the dots.
We choose the latter.
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Pick's theorem says the area of a polygon can be found as ...
A = i + b/2 -1
where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.
The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...
A = 6 + (4/2) -1 = 7
The area of ∆EBD is 7 square units.
