(X+5)^2 = x^2 +10x + 25
the expression that is equivalent to
To multiply it we apply FOIL method
Multiply x with x+5 first and then we multiply 5 with x+5
Ugh, more algebra pretending to be geometry. Why?
This is a pretty awful instance of the genre, with no units on the constant 16, assumed to be degrees.
The total arc measure in a circle is 360 degrees. Geometry part over.
3m + 16 + 2m + 3m = 360
8m = 344
m = 344/8 = 43
Arc measures:
Arc 3m+16 = 3(43)+16 = 145°. The angle subtended by that arc is half that, 145/2=72.5°
Arc 2m=2(43)=86°. The angle subtended is half that, 43°
Arc 3m=3(43)=129°. The angle subtended is half that, 64.5°
Answer: 5 : 3 1/8 = 8 : 5
Step-by-step explanation:
Change values to whole numbers.
Convert any mixed numbers to fractions.
Convert 3 1/8
3 1/8 = 25/8
We now have:
5 : 3 1/8 = 5 : 25/8
Convert the whole number 5 to a fraction with 1 in the denominator.
We then have:
5 : 3 1/8 = 5/1 : 25/8
Convert fractions to integers by eliminating the denominators.
Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator
LCD(5/1, 25/8) = 8
We now have:
5 : 3 1/8 = 40/8 : 25/8
Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.
We then have:
5 : 3 1/8 = 40 : 25
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 40 and 25 is 5
Divide both terms by the GCF, 5:
40 ÷ 5 = 8
25 ÷ 5 = 5
The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
40 : 25 = 8 : 5
The question mark is 5. 8-5=3 and 12-5=7
He took it from a panoramic view!
