What does it mean to integrate a function in calculus?.
1 answer:
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An equation is formed of two equal expressions. The value of x in the given exponential equation is 10. The correct option is 10.
<h3>What is an equation?</h3>An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
In the given exponential equation , It can be observed that the base of both the sides of the equation is the same, therefore, 5. Therefore, the equation can be written as,
Since the base on both the sides are the same, comparing the exponential values on both sides,
x - 2 = 8
x = 8 + 2
x = 10
Hence, the value of x in the given exponential equation is 10.
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Answer:
5x -7y = 21
Step-by-step explanation:
A sketch can convince you that BC is a transversal perpendicular to parallel lines AB and CD. The question asks for an equation for CD, so we just need to write the equation of a line through D that is parallel to AB.
One way to do this is to equate the slopes of the parallel lines:
∆y/∆x for AB = ∆y/∆x for CD
(y2 -y1)/(x2 -x1) = (y -2)/(x -7) . . . . . . where (x1, y1) = A; (x2, y2) = B; (7, 2) = D
(4 -(-1))/(1 -(-6)) = (y -2)/(x -7)
5(x -7) = 7(y -2) . . . . . . . . . . . . . cross multiply
5x -7y = 21 . . . . . . . . . . . . . . . . add 35 -7y, simplify
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Note that the graph shows the line CD is named "b", and its equation is shown at upper left. Multiplying that equation by -1 gives the one shown here.
