Answer:
value of k = 6
Step-by-step explanation:
sum of all angles forming a straight line = 180°
so,
- 7k + 8 + 90 + 40 = 180
- 7k + 138 = 180
- 7k = 180 - 138
- 7k = 42
- k = 42/7
- k = 6
hence the value of k = 6
The value of the differential with respect to x is -xy/x²+ay
<h3>Implicit differentiation</h3>
Given the following function
x²y +ay² = b
We are to differentiate implicitly with respect to x
x²dy/dx + 2xy + 2aydy/dx = 0
(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay
Hence the value of the differential with respect to x is -xy/x²+ay
Learn more on implicit differentiation here: brainly.com/question/25081524
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Answer:
x = 52
Step-by-step explanation:
Vertical angles are angles that are opposite from each other.
According to the vertical angles theorem, vertical are are congruent. Therefore, if the angles opposite of x is 52 degrees, angle x also equal 52 degrees.
So the since the length of the longer side is 45inches we know that the longer table is 5 times as larger than the small desktop. And we know 6 x 5 = 30.
So 45x30= 1,350 so the answer is 1,350 square inches! :)
Answer:
The solution of the given quadratic equation is 1 and (-10).
Step-by-step explanation:
Solving equation by quadratic formula:
Here , a = 1,b = 9, c = (-10)
The solution of the given quadratic equation is 1 and (-10).
