Answer: The answer is 88
Step-by-step explanation: It is recursive because you can add 78+10=88
To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.
First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:
When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:
Multiply the numerators and denominators together:
Simplify by dividing:
So it rained for 10 hours.
x = -2
y = 1
let's multiply second equation by 4 to get a common coefficient of y variable.
16x-8y=-40
add the equations
3×+8y=2
16x-8y=-40
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3x+16x = -38
19x = -38
x = -2
substitute x
3×-2 + 8y = 2
-6 + 8y = 2
8y = 2+6
y = 1
check the answer
-6+8 = 2
-8-2= -20
Answer:√5 - √2
Step-by-step explanation:
= √(5 + 2 - 2√10 )
= √{(√5)² +(√2)² - 2.√5.√2}
= √(√5 - √2)² (by identity a² + b² -2ab = ( a-b)²)
= √5 - √2