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KengaRu [80]
3 years ago
9

Help please thank you lol

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0

Answer:

DE=3 cm

Step-by-step explanation:

From the information we know, we can tell that triangle ABC is a scale factor of 2 from triangle DEF, because 10/5=2.

Side DE would be proportional to side AB.

Side AB is 6, so we would have to divide that by 2, because of our scale factor.

6/2=3.

Hope this helped! Have a good rest of your day!

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Given that f(x)= 2x+1 and g(x)= x^2 +2x+1 find (F+g)(2). Find (F.g)(x) find f(x)/g find f(2) +g(-2)?
Pepsi [2]

Answer:

(f+g)(2) = 14

f(g(x)) = 2x^2 + 4x +3

\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}

f(2) + g(-2) = 6

Step-by-step explanation:

Function composition and transformation combines functions together using operations such as addition, subtraction, multiplication, division and substitution. To find each, perform the operation with the functions f(x) = 2x+1 and g(x) = x^2 + 2x +1.

(f+g)(x) is the functions f and g added together with 2 substituted for x.

(f+g)(x) = 2x+1 + x^2 +2x + 1 = x^2 + 4x + 2\\(f+g)(2) = 2^2 + 4(2) + 2 = 14

(f·g)(x) is function composition that means f(g(x)) or substitute g(x) into f(x).

f(g(x)) = 2(x^2+2x+1)+1 = 2x^2 + 4x+2 + 1\\f(g(x)) = 2x^2 + 4x +3

f(x) / g(x) is division of the two functions. Division can only occur with polynomials if they share the same factors or things which multiply to create them. If none are present, do not simplify.

\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}

This cannot be simplified.

f(2) + g(-2) means find the function value of f at 2 and the function value of g at -2 then add them together.

f(2)+g(-2) = 2(2)+1 + ((-2)^2+2(-2) + 1)\\f(2) + g(-2) = 5 + (4-4+1)\\f(2) + g(-2) = 5 +1 = 6

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4 years ago
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It takes 40 minutes more going up or 40/60 = 0.67 hours more.

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t + 0.67 = time required for him running up

 

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So the total length of the hike is:

length = 2 * (5 miles / hr) * (1.005 hr)

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Solve mathematics question, please:) Unanswered re-asked question.
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