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noname [10]
3 years ago
15

After studying the diagram shown, Michael makes the following conclusions: 1. DG = 3 and the area of square DEFG is 9. 2. AG = 4

and the area of square GHIA is 16. 3. DA = 5 and the area of square ABCD is 25. What conclusion can he make about the sides (DG, AG, and DA) of the yellow triangle?
Mathematics
2 answers:
Mrrafil [7]3 years ago
7 0
DUDE WHY hjdksiueryhfnjcmxkswieuryghbfvncmxskjeury thats all i see
amid [387]3 years ago
6 0

Answer:

C) DA2 = DG2 + AG2

Step-by-step explanation:

The solution is DA2 = DG2 + AG2. Michael determines that DA = 3, AG = 4 and DA = 5. The sum of the squares of DA and AG is equal to the square of DA.

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Suppose that the functions r and a are defined for all real numbers x as follows. r(x)=2x-1 S(x)=5x write the expressions for (r
NeTakaya

\boxed{(r-s)(x)=-3x-1} \\ \\ \boxed{(r\cdot s)(x)=10x^2-5x} \\ \\ \boxed{(r+s)(-2)=-15}

<h2>Explanation:</h2>

In this exercise, we have the following functions:

r(x)=2x-1 \\ \\ s(x)=5x

And they are defined for all real numbers x. So we have to write the following expressions:

First expression:

(r-s)(x)

That is, we subtract s(x) from r(x):

(r-s)(x)=2x-1-5x \\ \\ Combine \ like \ terms: \\ \\ (r-s)(x)=(2x-5x)-1 \\ \\ \boxed{(r-s)(x)=-3x-1}

Second expression:

(r\cdot s)(x)

That is, we get the product of s(x) and r(x):

(r\cdot s)(x)=(2x-1)(5x) \\ \\ By \ distributive \ property: \\ \\ (r\cdot s)(x)=(2x)(5x)-(1)(5x) \\ \\ \boxed{(r\cdot s)(x)=10x^2-5x}

Third expression:

Here we need to evaluate:

(r+s)(-2)

First of all, we find the sum of functions r(x) and s(x):

(r+s)(x)=2x-1+5x \\ \\ Combine \ like \ terms: \\ \\ (r+s)(x)=(2x+5x)-1 \\ \\ (r+s)(x)=7x-1

Finally, substituting x = -2:

(r+s)(-2)=7(-2)-1 \\ \\ (r+s)(-2)=-14-1 \\ \\ \boxed{(r+s)(-2)=-15}

<h2>Learn more: </h2>

Parabola: brainly.com/question/12178203

#LearnWithBrainly

5 0
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20 points help ASAP please and thank you
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