Answer:
<u>30 gallons solution 4% and 10 gallons solution 8%</u>
Step-by-step explanation:
<h3>x•4%+y•8%=40•5% </h3>
<em><u>4x+8y=40•5 and x+y=40</u></em>
x=40-y
4(40-y)+8y=200
160-4y+8y=200
4y=200-160
4y=40 => y=10 (gallons solution 8%)
=> x=40-10=30 (gallons solution 4%)
30 gallons solution 4% and 10 gallons solution 8%
-x² + 8x - 6 = 0
x = <u>-(8) +/- √((8)² - 4(-1)(-6))</u>
2(-1)
x = <u>-8 +/- √(64 - 20)</u>
-2
x = <u>-8 +/- √(44)
</u> -2<u>
</u>x = <u>-8 +/- 2√(11)
</u> -2
x = <u>-8 + 2√(11)</u> x = <u>-8 - 2√(11)
</u> -2 -2<u>
</u>x = 4 - √(11) x = -8 + √(11)
Answer:
A) The circumcenter of a right triangle falls on the side opposite the right angle
B) The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides
D.) The circumcenter is equidistant from (Apex)
Step-by-step explanation:
13.25x3-(8.50x3)=x x is the cost of the system
29035 is a positive and -36198 is a negative