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The vertex describes the axis of symmetry for this parabola

   vertex = -8,5           vertical axis of symmetry = x = -8

This is the equation of a circle  with center  94 , 9     and radius   = 8

   the shortest distance to the x - axis will be at the bottom of the circle .....distance will be    9 - 8 = 1 unit

      this will be at point    94,1

Well , since x=4 we have x+3 which means 4+3 = 7

ANSWER: 7 

Hello Ginger,  my mind is off on a very silly wander....

When people take 3 or more spoons of sugar in their coffee I often make a snide remark regarding them having coffee with their sugar.

You are right they are having sugar with their water. Maybe with a sprinkle of coffee for added flavour.  

I suppose a person and many other things are largely composed of water.  

Giving birth to water sounds somewhat less painful than giving birth to a baby.

Wandern, in German, means to hike.  Vielleicht könnte ich zu einem See wandern, und einen Fisch fangen!

Mmm Abendessen! 

That sounds much more productive than this silly soliloquy is.  :)

Mathguy, you did use the quadratic formula. You presented your work in very formal detail, and your solution is correct for the equation you presented. The roots are incorrect for the asked question because you used 120 (instead of 100) as the quadratic coefficient.

EP’s method is easier because you plug the coefficients into a computerized solver and it gives you the roots. There’s nothing wrong with that –the method is less prone to calculation errors and it’s very fast. However it’s a good idea to do these manually on occasion to keep the actual process active in your working memory.  Of course, check your work with a computerized solver to confirm your solution results.

GA

--. .-

Yes, but you didn't answer my question Ticon6     :)

Yes, off topic but sweet     

Here is a scale drawing of the triangles.  

There are obviously no right angles so Pythagoras's theorum cannot be used.   

I hope that helps you xmathguy  

Civonamzuk,

If you believe an answer is incorrect then it is up to you to state that clearly and politely.

If there is incorrect working or an incorrect statement then it is up to you to explain where the problem lies.

Just as Geno did when he explained why Xxmathman's answer was incorrect. 

Do not just over-write people with no explanation.

Do not overwrite  people without a clear explanation of why you are doing it. 

Don't make a habit of giving final answers without explanations.

Part done, well explained, unfinished answers are usually best! 

Educators on this site want to aid learning,  NOT facilitate cheating.

Civonamzuk,

XxMathman has asked you to explain why his answer is wrong. 

All you have done is said "it is wrong because my answer is right and yours is different."   I have paraphrased

That must be the most useless answer of the day !

See Alan’s solution here:

Good explanation.  I actually prefer "literal" but for you I'll cop to pedantic, negative connotation notwithstanding.

AD = 5.989610382

Perimeter = 46 inches

hm....

you're right...

that was a much easier way thank you!

\(458-98=360\)

\(360\div45=8\)

so 8 hours of labor!

Area = 6.923 square units

Important: Triangles PQM and PRM are NOT right-angled triangles!!!

Use Quadratic Formula    a = 100      b = 20       c = -24   

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

to find x = 2/5   and  - 3/5

(6+16) / 2  *  14  = 11* 14 = 154 in²

um..... I can't tell apart letters on this thing, can you plz write a little clearer?

the midpoint of QR is M, so on eaither side of M, it is 7

one side is 7, one side is PM, and the hypotenuse is 18. So the pythagorean thereom works here

waitwaitwait

how am i wrong?

if the prism's dimensions are 3, x and y, then 2xy + 2(3x) + 2(3y) = 52, taking into account the six rectangular face area totals.

It's a matter of experimentation to see which (x,y) ordered pairs satisfy that area relationship. I found that if x=2, y=4, then that works, for area, and therefore the volume is 2(4)(3) = 24 cu units.