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Arte-miy333 [17]
3 years ago
15

Find the missing side

Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0

Answer:

Step-by-step explanation:

\sqrt{61}

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For f(x) = 4x +1 and g(x) = x2 - 5, find (g/f) (x).
Softa [21]

Answer:

\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}

Step-by-step explanation:

f(x)=4x+1

g\left(x\right)=x^2\:-\:5

As

(g/f)(x) = g(x) / f(x)

            =\:\frac{x^2\:-\:5}{4x+1}\:\:\:\:\:\:

            =\frac{x}{4}+\frac{-\frac{x}{4}-5}{4x+1}

              =\frac{x}{4}-\frac{1}{16}+\frac{-\frac{79}{16}}{4x+1}

               =\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}

Therefore,

\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}

8 0
3 years ago
A man travelled 3/5 of his journey by rail, 1/4 by a taxi, 1/8 by a bus and the remaining 2 km on foot.What is the length of his
docker41 [41]
Hello friend,here is the solution

<span>Let x be the total distance </span>

<span>Distance travelled by rail = 3/5 x </span>

Distance travelled by taxi = 1/4 x

<span>Distance travelled by bus = 1/8 x </span>

<span>The equation we obtain is </span>
========================

<span>x = 3/5 x + 1/4 x + 1/8 x +2 </span>

______________________________________

<span>hope this solution helps you......</span>
7 0
3 years ago
The volume of a cube is given by s9 and the total surface area of a cube is given by 632, where s is the side length of the cube
Mariana [72]

Answer:

Surface area of a cube = side * side * 6

632 = side * side * 6

side^2 = 632/6

side^2 = 105.3333333333

side = 10.2632028789

********************************************

For a 5 inch side

volume = 5 * 5 * 5

= 125 cubic inches

surface area = 5 * 5 * 6

surface area = 150 square inches

Step-by-step explanation:

3 0
3 years ago
Please help with 17!
solmaris [256]
Since f(x) is up and down, simply decrease the overall equation by 2 to get 2sqrt(x+3)+3 instead of +5. To move it 5 to the right, we have to do something kind of weird, which is subtract 5 from (x+3) instead of add 5 to get
 2sqrt(x-2)+3. 
8 0
3 years ago
60 in<br> 63 in<br> What is the length of the hypotenuse?<br> inches<br> Submit
saveliy_v [14]

Answer:

assuming 60 and 63 are the side lengths

87 in is the hypotenuse

Step-by-step explanation:

60^2 + 63^2 = x^2

5 0
2 years ago
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