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Likurg_2 [28]
3 years ago
7

The solution of the following equation as 0.15 ( 10t - 9= 0.75 (4t - 3)​

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0

Answer:

\huge\boxed{\sf t = 0.6}

Step-by-step explanation:

\sf 0.15(10t-9) = 0.75(4t-3)\\\\Resolving \ Parenthesis\\\\1.5t-1.35 = 3t - 2.25\\\\Combining \ like \ terms\\\\-1.35 + 2.25 = 3t-1.5t\\\\0.9 = 1.5t\\\\Dividing \ both \ sides \ by \ 1.5\\\\0.9/1.5 = t\\\\0.6 = t\\\\OR\\\\\bold{t = 0.6}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
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An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p
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Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

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y=a(x+1)(x-5)=0

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Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

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Thus the coordinates of B are:

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Now this point B lies on the parabola, and therefore it must satisfy the equation  y=a(x+1)(x-5).

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Therefore

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\boxed{a=-0.3575}

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