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3 years ago

What is the length of

Mathematics

1 answer:

saveliy_v [14]3 years ago

6 0

Answer:

17 units

Step-by-step explanation:

Because the triangle is isosceles, 2 of its sides are congruent; namely, the two sides that are opposite of the 2 congruent angles are contruent.

Because of the reason stated above, we can see that AC is congruent to BC, meaning that:

x+9=2x-8

-x -x

9=x-8

+8 +8

17 = x

Notice that BC is equal to x, so 17 is our final answer.

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1) For the following problem: Let f={(-2,3),(-1,1),(0,0),(1,-1), (2,-3)} and let g-{-3,1),(-1,-2), (0, 2),(2, 2),(3,1)}.Find the

N76 [4]

Answer:

1. f(1)=-1 and g(-1)=-2.

2. (gof)(1)=-2.

3. (gofof)(-1)=-2

4. (fog)(3)=-1

Step-by-step explanation:

The given functions are defined as

f={(-2,3),(-1,1),(0,0),(1,-1), (2,-3)}

g={(-3,1),(-1,-2), (0, 2),(2, 2),(3,1)}

The value of function f at x=1 is -1, So, f(1)=-1.

The value of function g at x=-1 is -2, So, g(-1)=-2.

Therefore the value of f(1) is -1 and the value of g(-1) is -2.

$(g\circ f)(1)=g(f(1))$ $[\because (g\circ f)(x)=g(f(x))]$

$(g\circ f)(1)=g(-1)$ $[\because f(1)=-1]$

$(g\circ f)(1)=-2$ $[\because g(-1)=-2]$

Therefore the value of (gof)(1) is -2.

$(g\circ f\circ f)(-1)=(g\circ f)(f(-1))$ $[\because (g\circ f)(x)=g(f(x))]$

$(g\circ f\circ f)(-1)=(g\circ f)(1)$ $[\because f(-1)=1]$

$(g\circ f\circ f)(-1)=-2$ $[\because \text{From part 2}, (g\circ f)(1)=-2]$

Therefore the value of (gofof)(1) is -2.

$(f\circ g)(3)=f(g(3))$ $[\because (f\circ g)(x)=f(g(x))]$

$(f\circ g)(3)=f(1)$ $[\because g(3)=1]$

$(f\circ g)(3)=-1$ $[\because f(1)=-1]$

Therefore the value of (fog)(3) is -1.

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(

−

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Step-by-step explanation:

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