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den301095 [7]
3 years ago
11

Consider the functions f(x)=(ax^2-b)/(x^2-4) and g(x)=(x^2-cx+d). if the limit as x approaches 3 equals 6, what is the relations

hip between a and b?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0

6=\dfrac{a\cdot3^2-b}{3^2-4}\\\\
6=\dfrac{9a-b}{5}\\\\\
9a-b=30\\\\
\boxed{b=9a-30}

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A paperweight is shaped like a triangular pyramid. The base is an equilateral triangle. Find the surface area of the paperweight
stich3 [128]

Answer:

The surface area of the paperweight is SA=8.3\ in^2

Step-by-step explanation:

we know that

The surface area of the triangular prism is equal to the area of its triangular base plus the area of its three triangular lateral faces

so

<em>Find the area of its triangular base</em>

SA=\frac{1}{2}(2)(1.7)

SA=1.7\ in^2

<em>Find the area of its three triangular lateral faces</em>

SA=3[\frac{1}{2}(2)(2.2)]

SA=6.6\ in^2

Adds the areas

SA=1.7+6.6

SA=8.3\ in^2

4 0
4 years ago
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It d forsure brother died a
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4 years ago
This is measure of angle b
Stells [14]

Step-by-step explanation:

1) 180-125=55°

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3 years ago
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5 0
3 years ago
Read 2 more answers
Use Pythagorean theorem to find isos
myrzilka [38]

Answer:

x = 12 or \sqrt{144}

Step-by-step explanation:

Find the length of x for one side of the triangle first. To do this, use the Pythagorean Theorem which states: a² + b² = c² or in this case c² - a² = b². c² is 45 and a² is 3*3 or 9. Subtract 45-9 to get 36. Find the square root of 36 to get 6. The opposite side is also going to have a missing side length of 6 so add 6+6 to get 12 as x.

Hope it helps!

7 0
3 years ago
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