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stealth61 [152]
3 years ago
9

Given the perimeter is 180cm what is the length and breadth of the rectangle?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0
Check out Kathy way tbh
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I’m Really lost if I could get a answer it would be greatly appreciated
Nataly [62]
<h3>Answers:</h3>

f(g(x)) = \sqrt{x^2+5}+5\\\\g(f(x)) = x+30+10\sqrt{x-1}

================================================

Work Shown:

Part 1

f(x) = \sqrt{x-1}+5\\\\f(g(x)) = \sqrt{g(x)-1}+5\\\\f(g(x)) = \sqrt{x^2+6-1}+5\\\\f(g(x)) = \sqrt{x^2+5}+5\\\\

Notice how I replaced every x with g(x) in step 2. Then I plugged in g(x) = x^2+6 and simplified.

------------------

Part 2

g(x) = x^2+6\\\\g(f(x)) = \left(f(x)\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}+5\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}\right)^2+2*5*\sqrt{x-1}+\left(5\right)^2+6\\\\g(f(x)) = x-1+10\sqrt{x-1}+25+6\\\\g(f(x)) = x+30+10\sqrt{x-1}\\\\

In step 4, I used the rule (a+b)^2 = a^2+2ab+b^2

In this case, a = sqrt(x-1) and b = 5.

You could also use the box method as a visual way to expand out \left(\sqrt{x-1}+5\right)^2

6 0
3 years ago
Christy dove to a depth of 12 feet below the surface of the water write the depth as an integer
Varvara68 [4.7K]

If we use the surface of the water as our frame of reference, then Christy's vertical position could be represented by -12 ft.

4 0
3 years ago
$970 at 4 1/4% simple interest for 2 years
iogann1982 [59]
For simple interest 
i=prn
where i= interest p=amount invested, r=rate n=time period
i= 970*4 and 1/4 * 2
i= $8245<span />
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3 years ago
Angle of elevation is 40. If I’m 30 ft from base of a tree what is height of tree
PSYCHO15rus [73]
Height of tree is given by the distance multiplied by the tangent of the angle of elevation:
Height = 30*tan(40) = 30(0.8391)=25.17 ft

6 0
3 years ago
Find p (rolling 2 or 5) with one number cube
inysia [295]

Answer:

Step-by-step explanation:

P(rolling 2 or 5)=2/6=1/3

5 0
3 years ago
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