ANSWER
<span>will produce a slope field with rows of parallel tangents
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EXPLANATION
A differential equation that is a function of y only does not depend on x, i.e. of the form dy/dx = f(y), where f is a function.
Therefore, the slope field will be independent of the horizontal position. This means that there will be rows where the slopes will be of the same rise/run ratio. When two slopes are the same, they are said to be parallel.
Answer:
slope= 16
Step-by-step explanation:
use the slope formula= rise/run=. y2-y1/ x2-x1
Answer:
V=378 inch³
Step-by-step explanation:
The package is in the shape of a cuboid. The volume of a cuboid is given by :
V = lbh
l=length, b=breadth and h=height
Area of base = 54 inch²
Height of box, h = 7 in
It means that, volume of the package is :
V = 54 × 7
V=378 inch³
So, the volume of the package is 378 inch³.
We need the following to be true
a+2b = -a
a+4 = 2a - 3b
Let's look at the first equation.
a + 2b = -a
Subtract both sides by a
2b = -2a
b = -a
Substitute b= -a into the second equation
a+4 = 2a + 3a
a + 4 = 5a
4a = 4
a = 1
Just take the negative of that and you get the value of b.
b = -1
Your solution is a=1 and b = -1.
Have an awesome day! :)
x - Ram's age now
Ram is half his father's age now, so his father's age is two times Ram's age:
2x - Ram's father age now
x - 10 - Ram's age ten years ago
2x - 10 - Ram's father age ten years ago
ten years ago he was one third his father's age so his father's age was three times Ram's age:
2x - 10 = 3•(x - 10)
2x - 10 = 3x - 30
-10 + 30 = 3x - 2x
20 = x
2x = 2•20 = 40
Answer:
<u>Ram is 20 years old now, Ram's father is 40 years old now.</u>
