Answer:
f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.
Step-by-step explanation:
The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.
* if x>1, then x-1>0.
* Also since the parabola opens up, then y>5.
So let's solve y=(x-1)^2+5 for x.
Subtract 5 on both sides:
y-5=(x-1)^2
Take square root of both sides:
Plus/minus sqrt(y-5)=x-1
We want x-1>0:
Sqrt(y-5)=x-1
Add 1 on both sides:
Sqrt(y-5)+1=x
Swap x and y:
Sqrt(x-5)+1=y
x>5
y>1
Answer:
1.) Triangle is <u>1/2 x b x h (Which is option C)</u>
2.) Rhombus is<u> ½ × d1 × d2. (Which is option A)</u>
3.) Trapezoid is <u>½(b 1+b 2)h or (b1 + b2)h/2 (Which is option B)</u>
4.) Parallelogram is <u>base x height (Which is option D)</u>
Step-by-step explanation:
Answer:
just send them here , I will answer the ones I know .
<span><u><em>
Answer:</em></u>
They are not equal
<u><em>
Explanation:</em></u>
<u><em>Let's take a look at each one of them separately:</em></u>
</span>
<span> : This fraction is in the simplest form. It is equivalent to 0.2
The fraction is formed by dividing one part over five
</span>
<span> : This fraction is not in the simplest form. We can divide 5 by 5 and the answer would be 1. Therefore, </span>
<span> is equivalent to 1
</span>
<span> : This fraction is not in the simplest form. We can divide 5 by 1 and the answer would be 5. Therefore, </span>
<span> is equivalent to 5.
Based on the above, we can cnfirm that 0.2 , 1 and 5 are not equivalent.
Therefore, the given fractions are not equivalent
Hope this helps :)</span>