Answer:
Step-by-step explanation:
(a+ b)² = a² + b² + 2ab
(2x + y)² = (2x)² + y² + 2*2x *y
= 4x² + y² + 4xy
(a- b)² = a² + b² - 2ab
(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y
= 9x² + 4y² - 12xy
(a - b)(a +b) = a² - b²
(x - 4y(x + 4y) = x² - (4y)²
= x² - 16y²
(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)
= 4x² + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²
= 4x² + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²
= 4x² - 9x² + x² + y² - 4y² - 16y²+ 4xy + 12xy
= -4x² - 19y² + 16xy
Answer:
Lane Viking's Score is 17
Black Eagles's Score is 21
Step-by-step explanation:
Let Lane Viking's Score be x and Black Eagles's Score be y.
Black Eagles's Score = 4+ Lane Viking's Score
so y = 4 + x (Equation 1)
Total Score = 38
Black Eagles's Score + Lane Viking's Score = 38
so y + x =38 (Equation 2)
Putting y's value from Equation 1 in Equation 2
4 + x + x = 38
2x = 38-4
x=34/2
x=17
Putting value of x in Equation 1
y = 4 + 17
y = 21
Answer:
Do you want the answer for all of them
Step-by-step explanation:
Answer:
( 3 / 4) * λ = - 1 - - > λ = - ( 4 / 3)
y = - ( 4 / 3) * x + 6
Answer:
Average speed
= 5 5/6 mph , or
= 5.83 mph (to 2 decimals)
Step-by-step explanation:
Average speed is total distance divided by the total time it takes to cover the given distance.
Since uphill = 5 mph, and downhill = 7 mph, we know the average speed is between 5 and 7 mph.
Let
x = distance uphill, and also distance downhill.
Total distance = 2x miles
Total time = x/5 + x/7 hours = 12x/35 hours
Average speed
= total distance/total time
= 2x / (12x/35) mph
= 70x / 12x
= 5 5/6 mph
= 5.83 mph (to 2 decimals)