Answer:
3 and 9
Step-by-step explanation:
3 * 24 = 72
9 * 8 = 72
3 * 15 = 45
9 * 5 = 45
Answer: 7/32
Step-by-step explanation:
Multiply straight across the numerator and do the same for the denominator.
7x1=7 (numerator)
16x2=32 (denominator)
Answer is 7/32
Answer:
x = 3
y = 1
Step-by-step explanation:
9x - y = 26 ---------------(I)
9x + y = 28 ---------------(II)
9x - y = 26
9x = 26 + y
Substitute 9x = 26 + y in equation (II)
26 + y + y = 28 {add like terms}
26 + 2y = 28 {subtract 26 from both sides}
2y = 28 - 26
2y = 2 {divide both sides by 2}
y = 2/2
y = 1
Substitute y =1 in equation (I)
9x - 1 = 26
9x = 26 + 1
9x = 27
x = 27/9
x = 3
x = 3
y = 1
Answer with explanation:
The given differential equation is
y" -y'+y=2 sin 3x------(1)
Let, y'=z
y"=z'
Substituting the value of , y, y' and y" in equation (1)
z'-z+zx=2 sin 3 x
z'+z(x-1)=2 sin 3 x-----------(1)
This is a type of linear differential equation.
Integrating factor
Multiplying both sides of equation (1) by integrating factor and integrating we get
The two cars will be 5.5 miles apart after 5.5 hours.
Step-by-step explanation:
Given,
Speed of first car = 57 mph
Time = 5.5 hours
Distance covered by first car = Speed * Time
Distance covered by first car = 57*5.5 = 313.5 miles
Speed of other car = 58 mph
Distance covered by other car = 58*5.5 = 319 miles
Difference = 319 - 313.5
Difference = 5.5 miles
The two cars will be 5.5 miles apart after 5.5 hours.
Keywords: speed, distance
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