Answer:
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Step-by-step explanation:
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Answer:
y -8 = 1/5(x -3)
Step-by-step explanation:
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line through point (h, k) with slope m
The given equation y = 1/5(x +4) matches this form with m=1/5. The parallel line will have the same slope.
This means you want a line through point (3, 8) with slope 1/5. Putting these values in the point-slope form gives ...
y -8 = 1/5(x -3)
Answer:
h = 5.2 cm
- we can determine that the base length of the triangle is 3 cm as its a square. the hypotenuse given - 6 cm
using Pythagoras theorem:
a² + b² = c²
3² + h² = 6²
h² = 36 - 9
h² = 27
h = 3√3
h = 5.2 cm
Answer:
The given function is differentiable at y = 1.
At y = 1, f'(z) = 0
Step-by-step explanation:
As per the given question,
Let z = x + i y
Suppose,
On computing the partial derivatives of u and v as:
And
According to the Cauchy-Riemann equations
Now,
Therefore,
holds only.
This means,
2y - 2 = 0
⇒ y = 1
Therefore f(z) has a chance of being differentiable only at y =1.
Now we can compute the derivative
At y = 1
f'(z) = 0
Hence, the required derivative at y = 1 , f'(z) = 0
Answer: {(5,0), (3,4)}
Step-by-step explanation:
You can apply the Substitution method:
- Solve for y from the second equation.
- Substitute into the first equation and solve for x.
Then:
(Remember that: )
Substitute the values obtained into one of the original equation and solve for y:
The solution set is: {(5,0), (3,4)}