Answer:
The equation of circle C is ( x-5 )2 + ( y-7 )2 = 80 .
Step-by-step explanation:
Substitution doesn't work for this, but elimination does.
-6x-8y=-20 +6( x+6y=-6)
-6x-8y=-20 + 6x+36y=-36
-6x and 6x cancel each other, add -8 and 36 to get 28, and -20 and -36 to get -56.
28y=-56
divide by 28 on both sides.
Y= -2
Then substitute y into one of the equations.
x+6(-2)=-6
x-12=-6
x=6
The ordered pair is (6,-2).
Answer: The answer is F.
Step-by-step explanation:
1.) The first equation represents how the spiral notebook has 30 more pages than the the memo book, and how subtracting the memo book's pages would result with 30.
2.) The second equation represents how the total number of pages in 3 spiral notebooks plus 5 memo books would result in 810 total pages.
Answer:
minimum = $445
median = $565
standard deviation = $38
IQR = $48
Step-by-step explanation:
The minimum and the median are measures of location and are affected during addition (or subtraction) and multiplication (or division).
Satandard deviation and IQR (inter-quartile range), which are measures of dispersion, are affected by only multiplication (or division).
For the weight,
<em>minimum </em>= 920 pounds
<em>median </em>= 1160 pounds
<em>standard deviation</em> = 76 pounds
<em>IQR </em>= 96 pounds
For the price,
<em>minimum </em>= 0.50(920) - 15 = $445
<em>median </em>= 0.50(1160) - 15 = $565
<em>standard deviation</em> = 0.50(76) = $38............(<em>Subtraction discarded</em>)
<em>IQR </em>= 0.50(96) = $48........................................(<em>Subtraction discarded</em>)
