Answer:
Option A y = x
Step-by-step explanation:
In the given figure Pentagon PQRST and its reflection Pentagon P'Q'R'S'T' have been shown.
Pentagon P'Q'R'S'T' have been reflected by a line that passes through origin (0,0) and is perpendicular to the line joining points S(-2,1) and S'(1,-2)
Let the line is y = mx + c
Since line passing through s and s' and slope = =
= -1
So line perpendicular to SS' will be
m × (-1) = (-1)
m = 1
The given line will be y = x + c
Since this line passes through (0,0) origin so 'C' will be zero.
Now we can say equation of the line is y = x by which Pentagon PQRST has been reflected.
Answer:
see explanation
Step-by-step explanation:
This is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
16 = ( 4
)² ⇒ a = 4
1 = 1² ⇒ b = 1
Hence
16 - 1
= (4 )² - 1²
= (4 - 1)(4
+ 1)
4 - 1 ← is also a difference of squares and factors as
(2x² - 1)(2x² + 1)
Thus
16 - 1
= (2x² - 1)(2x² + 1)(4 + 1 )
Answer is 72 .
<h3><u>Explanation :-</u></h3>You probably , Know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well .
• Any number can be converted to fraction if you use 1 as the denominator:
• So now that we've converted 60 into a fraction, to work out the answer, we put the fraction 6/5 side by side with our new fraction, 60/1 so that we can multiply those two fractions.
• convert the whole number to a fraction and then multiply the numerators and denominators.
• Our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
• You can use our handy GCF calculator to work this out yourself if you want to. We already did that , And the GCF of 360 and 5 is 5.
• We can now divide both the new numerator and the denominator by 5 to simplify this fraction down to its lowest terms.
• When we put that together, we can see that our complete answer is :-