Answer:
49b^2 -36 = (7b -6)(7b +6)
so because there you missed some signs in these wrote choices
hope helped
Step-by-step explanation:
3/2x-4=20
We simplify the equation to the form, which is simple to understand
3/2x-4=20
We move all terms containing x to the left and all other terms to the right.
+2x=+20+4
We simplify left and right side of the equation.
+2x=+24
We divide both sides of the equation by 2 to get x.
x=12
Answer:
Line M is neither.
Line N is perpendicular.
Line P is neither.
Line Q is parallel.
Step-by-step explanation:
Parallel lines are lines whose slope are the same. Line q is the exact same slope. It is parallel.
Perpendicular lines are lines whose slopes are the negative reciprocal of each other 
, 
. Line n is 4/3 and is perpendicular.
Line m and p are neither.
The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28 minutes .
In the question ,
it is given that
the time taken to vacate the stadium = 20 minutes
number of exits = 25 exits
capacity of the stadium = 25000 spectators .
given that ,
time taken to exit the stadium varies directly with number of spectators and inversely with the number of exits .
time taken ∝ number of spectators ∝ 1/number of exits .
to remove the proportionality sign , we write the constant
time taken = k * (number of spectators)/(number of exits) .
20 = k * 25000/25
20 = k * 1000
k = 20/1000
k = 2/100
k = 1/50 = 0.02
So, to find the time taken for 21,000 spectators to vacate the stadium, if only 15 exits are functional , we use the formula
time taken = (0.02)*(21000/15)
= 0.02*1400
= 28
Therefore , The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28 minutes .
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