Answer:
True for all values of a, b and c.
Step-by-step explanation:
(a–3c)(4c+2a)+3c(a+3c)=(2a–c)(3c+5a)–8a^2
Left side:
(a–3c)(4c+2a)+3c(a+3c)
= 4ac + 2a^2 - 12c^2 - 6ac + 3ac + 9c^2
= 2a^2 + ac - 3c^2
Right side:
(2a–c)(3c+5a)–8a^2
= 6ac + 10a^2 - 3c^2 - 5ac - 8a^2
= 2a^2 + ac - 3c^2.
So we see that the left side is identical to the right side so it is true for all values of the variables.
Answer:
The formula for period is T = 1 / f , where "T" is period – the time it takes for one cycle to complete, and "f" is frequency.
To get period from frequency, first convert frequency from Hertz to 1/s.
Now divide 1 by the frequency. The result will be time (period) expressed in seconds.
you move first the number without the variable to the other side with the opposite sign
-0.75p=0.25+2
-0.75p=2.25
then as -0.75 is multiplying you pass it to the other side dividing
p=2.25/-0.75
p=-3
Answer:
Step-by-step explanation:
Find the common denominator and multiply each side by that number
<u>For bolded part in explanation</u>: 4·3=12 3·3=9
3·4=12 1·4=4
When two lines intersect to form a 90 degree angle, these lines are called perpendicular lines.
