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3 years ago

Find the distance from A to C across the gorge illustrated in the figure.

Mathematics

2 answers:

dolphi86 [110]3 years ago

4 0

Answer:

the correct answer is 112.03

goblinko [34]3 years ago

4 0

Step-by-step explanation:

tan B = AC/BC

tan 35°= AC / 160

0.700 = AC /160

=> AC = 160 × 0.700

AC = 112.00

so, the distance from A to C is 112.00 feet

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NARA [144]

Ans(a):

Given function is $f(x)=\frac{3x-1}{x+4}$

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.

Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

$g(x)=\frac{3x-1}{x+4}+4$

We may simplify this equation but that is not compulsory.

Comparision:

Graph of g(x) will be just 4 unit upward than graph of f(x).

Ans(c):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

$8=\frac{3x-1}{x+4}+4$

$8-4=\frac{3x-1}{x+4}$

$4=\frac{3x-1}{x+4}$

$4(x+4)=(3x-1)$

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Hence final answer is x=-17

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Given,

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$\begin{gathered} 3x+y=-7 \\ 4x-y=14 \end{gathered}$

Required

The solution of the linear equation.

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$\begin{gathered} 4x-y=14 \\ 4x+7+3x=14 \\ 7x+7=14 \\ 7x=7 \\ x=1 \end{gathered}$

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