Answer:
The slope of the line is -6.
The circumferince of the circle is 2πR ;
The area of the circle is π
;
Then, 2πR = 704 ;
R = 352 / π ;
π
= π × ( 352 / π )^2 = ( 352^2) / π = 123904 / π ≈ 39459.87 ≈ 39460 cm^2 ;
<em>Answer:</em>
<em>the way in which the parts or ingredients of something are put together : composition the ethnic makeup of the neighborhood. b : physical, mental, and moral constitution His daring attitude toward risks is a major part of his makeup. 2a : the operation of making up especially pages for printing</em>
The solutions or roots to this equation is found by solving for x. We can do this a couple ways either by FOIL or quad formula
3x^2+6x+6=0
3(x^2+2x+2)=0
x^2+2x+2=0 we cant FOIL this out so we use the quad formula
x= [(-b+\-sqrt(b^2-4ac))/2a]
x= -2+\- sqrt(4-4(1)(2))/2(1)
x= -1 +i , -1 - i
So we have complex roots since our quad formula returned a negative number. Whenever the quad formula answer is positive we have two roots/solutions, when it is zero we have one root/solution, and whenever it is negative we have Complex roots/solutions
Hope this helps. Any questions please just ask. Thank you.
Answer:
67 gallons.
Step-by-step explanation:
To determine how many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze, the following calculation must be performed:
0.15 x 90 + 0.70 x 10 = 20.5 / 100 = 0.20
0.15 x 90 + 0.70 x 30 = 34.5 / 100 = 0.34
0.15 x 90 + 0.70 x 60 = 55.5 / 100 = 0.55
0.15 x 90 + 0.70 x 67 = 60.4 / 100 = 0.60
Thus, 67 gallons of 70% antifreeze solution will be needed to achieve a 60% mix of that solution.