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Answer:
Width=13cm
Length=18cm
Step-by-step explanation:
Width of the Initial Photograph=9cm
Length of the Initial Photograph=14cm
If width and length are increased by an equal amount, say x
New Width=9+x
New Length=14+x
Area of the new photo is 108 square centimeters greater than the area of the original photo.
Area of Original Photo=14*9=126cm²
Aeea of the New Photo=126+108=234cm²
Therefore:
(9+x)(14+x)=234
126+9x+14x+x²-234=0
x²+23x-108=0
x²+27x-4x-108=0
x(x+27)-4(x+27)=0
(x+27)(x-4)=0
x+27=0 or x-4=0
x=-27 or x=4
Since x≠-27
x=4cm
The dimensions of the new photo are:
Width=9+x=9+4=13cm
Length=14+x=14+4=18cm
Answer:
GCF = 5
Step-by-step explanation:
15x² - 10x + 5
x is not contained in all 3 terms thus is not a factor
15 has factors 1, 3, 5, 15
- 10 has factors ± 1, ± 2, ± 5 , ± 10
5 has factors 1, 5
The common factors are 1, 5
Then GCF = 5
The least common factor of x and x squared is x
Answer:
132−15+12
Step-by-step explanation:
