Answer:
the set of all possible outputs for a function is the range
14. trapezoid
- the bases are parallel
15. rhombus
- if you add 57 and 33 you will get 90 degrees. that means all the other angles the diagonals create intersecting each other are 90 degrees, and one of the properties of a rhombus is they have perpendicular diagonals.
16. kite
- two adjacent sides are congruent, and the two angles drawn are congruent
Algebra Calculator
I will solve your equations by substitution.<span><span><span>12y</span>=4</span>;<span><span>x−<span>5y</span></span>=18</span></span>
Step: Solve<span><span> 12y</span>=4</span>for y:<span><span><span>12y/</span>12</span>=<span>4/12</span></span>(Divide both sides by 12)<span>y=<span>13</span></span>Step: Substitute <span>1/3 </span>for y in<span><span><span> x−<span>5y</span></span>=18</span>:</span><span><span>
</span></span><span><span>x−<span>5y</span></span>=18</span><span><span>
</span></span><span><span>x−<span>5<span>(<span>1/3</span>)</span></span></span>=18</span><span><span>
</span></span><span><span>x+<span><span>−5/</span>3</span></span>=18</span>(Simplify both sides of the equation)<span><span><span>
</span></span></span><span><span><span>x+<span><span>−5</span>/3</span></span>+<span>5/3</span></span>=<span>18+<span>5/3</span></span></span>(Add 5/3 to both sides)<span>
</span><span>x=<span>59/3</span></span>
Answer:<span><span>x=<span><span><span>59/3</span> and </span>y</span></span>=<span>1/<span>3</span></span></span>
Assuming you want the expression to be simplified.
We begin with the following:

Simplify the first part,

. That is 25. Now we have this:
Next, simplify

, which is 1/3, and get this:
The next part is

. Simplify the denominator,

, which is 81. Simplify the numerator, which is 1/125. Then divide 1/125 by 81, which we will keep as a fraction for simplicity's sake, but simplify it to

. Now we have:

Now simplify

, which is 0.2, or 1/5. Now we have:
Finally, simplify

. That is 1/27. We have:

Lastly, multiply them all together! Now we are done, with the product of:

That certainly did take a while to type in all the LaTex, so I really hope that helped!
Note- if anything isn't working with the LaTex, just tell me and I'll fix it! (: