(Distribute the minus sign of the subtrahend in each term.)
= 8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵ – 2r⁴s⁵ + 5r³s⁶ + 4r⁵s⁴
(Add or subtract like terms.)
= 8r⁶s³ – 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶
(If you want to factor out, then...)
= r³s³ (8r³ – 5r²s + rs² + 5s³)
Answer:
2.3328
Step-by-step explanation:
X + y = 9 Subtract x from both sides.
y = 9 - x
x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x = 2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
The entire race took Henry 1hr:36min which is 96min. He has an average speed of 30km/hr means he's been traveling 0.5km/min
30km/hr > 30km/1hr >
30km/60min = 0.5km/min
since Henry took 96min to finish the race we multiply 0.5km/min with 96
0.5km/min*96min=48km
Answer:
C. 9×3 + 3×2
The area of the figure is 33 in.
