Is 2 to 4, 11 to 11/2 a proportion

I need help with this question please

user100 [1]

Answer:

The exact length of the third side would be 9.

Step-by-step explanation:

To find the length of the triangle, just add the height (6) and the base (3) which equals 9.

4 0

3 years ago

Which rational exponent represents a square root? A. 1 / 2 B. 3/2 C. 1/3 D. 1/4

Fofino [41]

Answer:

1/2 rational exponent represents a square root.

Therefore, option A is correct.

Step-by-step explanation:

As we know that raising to the one-half power i.e. $\frac{1}{2}$ is the same

as taking the square root.

so $x^{\frac{1}{2}}$ is the same as the square root of $x$ .

For example, taking the square root of 4 will determine:

$4^{\frac{1}{2}}$

$\mathrm{Factor\:the\:number:\:}\:4=2^2$

$4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}$

$\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0$

$\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}$

so the expression becomes

$4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}$

$=2^1$

$=2$ ∵ $\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a$

so, 1/2 rational exponent represents a square root.

Therefore, option A is correct.

5 0

2 years ago

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M Find the measure of the angles.

bearhunter [10]

Answer:

Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:

x + 59 + x + 51 + 84 = 180 My equation

2x + 194 = 180 add like terms

2x = -19 subtract 194 from both sides of the equation

x = -7 divided both by 2x to get x alone

It has occurred to me that I am finding x here (it still makes no sense to get a negative number) but this is the only equation I know to set up.

Notes:

This is for geometry homework and I realize just asking you to solve my problems is academically dishonest off topic if I have not put genuine effort into the question, which I have (put effort in, that is). I have put a lot of mental effort into figuring this out, though, so I will tell you what I did and hopefully you can tell me where I went wrong and how to correct my mistake, because I think it is obvious I made one. For the record I accidentally deleted my math notes from my iPad and Googling the question this morning produces hard to understand results. My geometry teacher was unavailable while I was working last night due to my lack of internet connection.

6 0

2 years ago

The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g.

Dovator [93]

The statement "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g" is FALSE.

Domain is the values of x in the function represented by y=f(x), for which y exists.

THe given statement is "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g".

Now we assume the $g(x)=x+2$ and $f(x)=\frac{1}{x-6}$

So here since g(x) is a polynomial function so it exists for all real x.

$f(x)=\frac{1}{x-6}$ does not exists when $x=6$ , so the domain of f(x) is given by all real x except 6.

Now,

$(fg)(x)=f(g(x))=f(x+2)=\frac{1}{(x+2)-6}=\frac{1}{x-4}$

So now (fg)(x) does not exists when x=4, the domain of (fg)(x) consists of all real value of x except 4.

But domain of both f(x) and g(x) consists of the value x=4.

Hence the statement is not TRUE universarily.

Thus the given statement about the composition of function is FALSE.

Learn more about Domain here -

brainly.com/question/2264373

#SPJ10

3 0

1 year ago

Which expression is NOT equivalent to the others?

Wewaii [24]

Answer:

the first expression

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers