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Hunter-Best [27]
3 years ago
9

Please help me with those questions

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0

Answer:

5a) 2 sides are equal to each other

5b)10\sqrt{2}

6) 16\sqrt{2}

Step-by-step explanation:

5b) I'm assuming that in this question you are trying to find the hypotenuse? So you use the pythagorean theorum, which is a^2+b^2=c^2. c represents the hypotenuse, so it would be 10^2+10^2=c^2 because the two sides are equal. Then 100+100=200 and the square root of that is 10\sqrt{2}.

6)a^2+b^2=32^2

since a=b you can write the equation as, 2a^2=1024

a^2=1024/2 , which equals a=\sqrt{512}

and simplify it to 16\sqrt{2}

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pychu [463]

Answer:

17/12 = 1 5/12

Step-by-step explanation:

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3 years ago
What is the shape of the graph of the function?<br> g(x)= 3/2 (2/3) ^x
Andrew [12]

Answer:

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

Given the function

g\left(x\right)=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

so

substituting x = 0 in the fuction

y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x

y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^0

Apply rule:  a^0=1,\:a\ne \:0

y=1\cdot \frac{3}{2}

y=\frac{3}{2}

y = 1.5

Therefore, the point representing the y-intercept is:

  • (0, 1.5)

Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

so

substituting y = 0 in the function

0=\frac{3}{2}\left(\frac{2}{3}\right)^x

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

\left(\frac{2}{3}\right)^x=0

We know that a^{f\left(x\right)} can not be zero or negative for x ∈ R

Thus, NONE represents the x-intercept.

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

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3 years ago
Serious answers only
slavikrds [6]

Answer:

UR ANSWER IS IN THE ABOVE ATTACHMENT ☝️

6 0
3 years ago
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