naiomireyes74p2aybs
28.07.2019 •
Mathematics
Bethany,lauren,amanda,and david all meet at family reunion. they are comparing their ages. they have found that laura is 13 years older than metheny and david is 11 years older than amanda. they also found that the product of bethany and laura sage is equal to twice and amanda's age.also, if they subtract 20 years from both bethany's and louren's age, the product is equal to david's age. if x represents bethany's age y represents amanda's age, then which of the following system of equations can be used to determine the age of all for family members based on their findings?
Solved
Show answers
More tips
- L Leisure and Entertainment The Best Film of 2010: A Look Back at the Academy Awards...
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- L Leisure and Entertainment What to Bring on a Hike? Essential Items to Pack for a Safe and Enjoyable Adventure...
- L Leisure and Entertainment Couchsurfing: A New Way to Travel...
- S Style and Beauty Autotanning: Harmful or Safe?...
- F Food and Cooking 10 Ideas for a Wedding Anniversary Gift...
- H Health and Medicine How to Reduce Sweating in the Heat and Beyond: Say Goodbye to Excessive Sweat...
- F Food and Cooking Do Aphrodisiacs Really Work? Separating Fact from Fiction...
- H Health and Medicine What to Eat to Lose Weight?...
- A Animals and plants How to Teach Your Parrot to Talk?...
Answers on questions: Mathematics
- M Mathematics Please help, i accidentally skipped the lesson and i m not sure what to do....
- M Mathematics Which of the following shows the graph of y- 2 In x? 5 4 3+ 2+ 1 5 4 3 2 11 1 2 3 4 5 X -27 -34 9 4...
- H History 10 points!! please answer...
- S Social Studies The United States is multicultural because everyone holds the same values and beliefs. each individual holds many different and conflicting values and beliefs. There are...
- M Mathematics What is the effect on the graph of the function f(x) = IXI when f(x) is changed to f(x + 9)? A) shifts right by 9 units B) shifts left by 9 units C) shifts up by 9 units...
- C Chemistry Transition metals when moving from left to right on the periodic table?...
Ответ:
is correct.
We know that Bethany's age is x. Since Laura is 13 years older, her age is x+13. The product of their ages is equal to twice Amanda's age, and Amanda's age is y. This gives us:
x(x+13) = 2y
Using the distributive property, we have
x²+13x=2y
Dividing everything by 2 (to isolate y), we have:
x²/2 + (13/2)x = y
If we take 20 years off of Bethany's age, it is now represented as x-20. Taking 20 years off of Laura's age would be (x+13-20) or x-7. The product of their ages now is equal to David's age; David is 11 years older than Amanda, so his age is y+11. This gives us:
(x-20)(x-7)=y+11
Multiplying the binomials we have:"
x*x - 7*x - 20*x - 20(-7) = y+11
x²-7x-20x--140=y+11
x²-27x+140=y+11
To isolate y, subtract 11 from both sides:
x²-27x+140-11 = y+11-11
x²-27x+129 = y
Ответ:
Step-by-step explanation:
Given
The attached parallelogram
Required
Find x
JW is the midpoint of YW. So:
This gives
Subtract 1 from both sides
Divide through by 2