16 16/18 = 16 8/9
so the rectangular clock has a greater perimeter than the square one.
area rectangular clock > area square clock
16 8/9 > 16 6/9
With questions like this (to see if theyre parallel), all you have to do is see if lines have a congruent slope. if yes (ex: 2 and 2), then they are parallel. if the slopes are opposites (ex: 4 and -1/4), then they are perpendicular. If they have no such relation (ex: -3 and 1/7), then they are neither.
with this problem, find the slope by separating the same variable in each equations, like this:
2x + 7y = 6
-2x -2x
7y = -2x + 6
(the second equation is already separated) so now we have
7y = -2x + 6 and 7y = 2x + 6
since -2 does NOT equal 2, these two graphs/lines are NOT parallel.
Hope this helped!
Step-by-step explanation:
step 1. -5f + 5 < 15
step 2. -5f < 10 (subtract 5 from each side)
step 3. f > -2 (divide both sides by -5 - dont forget to flip arrow when dividing by a negative number).
Red shirt, because there 24 teams in total, and red is half the total. the ratio is 2:1 (2- rest of teams) (1- red shirts)
2(x - 5)² + 13 = 31
2(x - 5)(x - 5) + 13 = 21
2(x(x - 5) - 5(x - 5)) + 13 = 21
2(x(x) - x(5) - 5(x) + 5(5)) + 13 = 21
2(x² - 5x - 5x + 25) + 13 = 21
2(x² - 10x + 25) + 13 = 21
2(x²) - 2(10x) + 2(25) + 13 = 21
2x² - 20x + 50 + 13 = 21
2x² - 20x + 63 = 21
<u> - 21 - 21</u>
2x² - 20x + 42 = 0
2(x²) - 2(20x) + 2(21) = 0
<u>2(x² - 20x + 21)</u> = <u>0</u>
2 2
x² - 20x + 21 = 0
x = <u>-(-20) +/- √((-20)² - 4(1)(21))</u>
2(1)
x = <u>20 +/- √(400 - 84)</u>
2
x = <u>20 +/- √(316)
</u> 2
x = <u>20 +/- 2√(79)</u>
2
x = 10 <u>+</u> √(79)
x = 10 + √(79) U x = 10 - √(79)
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