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VMariaS [17]
3 years ago
6

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. If f(X)=25-x^2 and

g(X)=x+5, what is (f/g)(x)? Write your answer in simplest form. When f(X)=25-x^2 and g(X)=x+5, (f/g)(x) .
Mathematics
2 answers:
Licemer1 [7]3 years ago
8 0

f(x)=25-x^2\\\\g(x)=x+5\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}=\dfrac{25-x^2}{x+5}=\dfrac{5^2-x^2}{x+5}=\dfrac{(5-x)(5+x)}{5+x}=5-x\\\\for\ x\neq-5

Arada [10]3 years ago
6 0

Answer: -x+5

Step-by-step explanation:

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There is a L-shaped sidewalk that is 158 meters long. By cutting across the lawn, the
NikAS [45]

Answer:

Each side of the L-shaped sidewalk is 126 m and 32m respectively.

Step-by-step explanation:

Given:

Total length of the sidewalk = 158 meters

Cutting across the lawn the distance = 130 meters

The L-shaped lawn will be treated as a right angled triangle.

So the 130 m distance is the hypotenuse here.

Let one side of the L-shaped lawn be 'x' meter so the another side will be (158-x) meters.

Applying Pythagoras formula.

(Hypotenuse)^2=(height)^2+(base)^2

So,

⇒ (130)^2=x^2 +(158-x)^2

⇒ (130)^2=x^2+(158-x)(158-x)

⇒ 16900=x^2+24964-158x-158x+x^2

⇒ 16900 =2x^2-316x+24964

⇒ 2x^2+316x+24964-16900=0

⇒ 2x^2-316x+8064=0

⇒ x^2-158x+4032=0

Applying quadratic formula;

Quadratic formula : \frac{\pm b \sqrt{b^2-4ac} }{2a} where a=1 and b=-158 and c=4032

So the value of x= 126 and 32.

The length of each side of the sidewalk is 'x'= 126 m and '(158-x)'='(158-126)'=32 m

7 0
3 years ago
Please help! im bad at this!
mart [117]
What type of math is this, is this algebra?
6 0
3 years ago
The lot that Dana is buying for her new one story house is 35 yards by 50 yards. Dana's house plans show that her house will cov
Maslowich
35x50=1,750-1,600=150. We need to find out what 150 is of 1,600.
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(you can make it whole if you want)
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3 0
3 years ago
What is .015 as fraction
schepotkina [342]
It is 15 / 1000 in the fraction form.
4 0
3 years ago
Read 2 more answers
2 Points
masya89 [10]
The answer is 120. Because inscribed angle is Half of the arc measure. Double 60 and we get 120.
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3 years ago
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