Answer: (3b + 5)(3b - 5)
Because both terms, 9b² and 25, are perfect squares, you can factor by taking the square roots of both terms.
The square root of 9b² is 3b (3b × 3b = 9b²).
The square root of 25 is 5 (5 × 5 = 25).
9b² - 25 has a negative, so the factored expression would be
(3b + 5)(3b - 5). The signs (+ and -) alternate in this case because the expression, 9b² - 25, has no middle term.
You can check your work by using FOIL. See the attachment below.
F irst
O utside
I nside
L ast
Answer:
6 miles
Step-by-step explanation:
The distance formula is expressed as;
D = √(x2-x1)²+(y2-y1)²
D = √(2-4)²+(8-2)²
D = √(-2)²+(6)²
D = √4 + 36
AD = √40
AD = 6.32
Hence the approximate distance between the library and the mall is 6 miles
Answer: After about 9.03 hours the temperature first reach 82 degrees.
Step-by-step explanation:
The sinusoidal function is given by :
where, A = amplitude; , α= phase shift on the Y-axis and C = midline.
As per given,
Average daily temperature= [midline is average of upper and lower limit.]
A= 97-85 = 12
Phase shift:
Period = 24 hours;
Substitute all values in sinusoidal function, we get
Put y= 82, we get
Hence, After about 9.03 hours the temperature first reach 82 degrees.