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AnnZ [28]
3 years ago
13

What is the simplified form of the equation (x-1/x-1) x+5/x+1 -x-2/x-1(x+1/x+1)

Mathematics
1 answer:
melomori [17]3 years ago
4 0

Answer:

(We already know that: x -1/x-1 = 1 and x + 1/x + 1 = 1 there is no need of keeping them)

  (x-1/x-1) x+5/x+1 -x-2/x-1(x+1/x+1)

= x + 5/x + 1 - x - 2/x - 1

= x²/x + 5/x + x/x - x²/x - 2/x - x/x

= x² + 5 + x - x² - 2 - x

= 5 -2

= 3

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Given f(x) - 3x= 1 and g(x) - 2x-3, for which value of x does g(x)= f(2)?
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jenyasd209 [6]

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3 0
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Read 2 more answers
A) For ΔJKL use the Triangle Proportionality Theorem to solve for x.
scoray [572]

Answer:

Part a) The value of x is 10

Part b) The perimeter of triangle JKL is 79\ units

Step-by-step explanation:

Part a) Find the value of x

we know that

The <u>Triangle Proportionality Theorem,</u> states that if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally

\frac{3x-5}{3x-5+10}=\frac{28-8}{28}\\ \\\frac{3x-5}{3x+5}=\frac{20}{28} \\ \\(3x-5)(28)=(3x+5)(20) \\ \\84x-140=60x+100\\ \\84x-60x=140+100\\ \\24x=240\\ \\x=10

Part b) we know that

The perimeter of triangle JKL is equal to

P=JK+KL+JL

substitute the values

P=(3x+5)+28+16=3x+49

substitute the value of x

P=3(10)+49=79\ units

8 0
3 years ago
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