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Levart [38]
3 years ago
14

Lara is trying to solve a puzzle where she has to figure out two numbers, x and y.. Five times x is greater than or equal to 3 m

ore than y. Also, 1 more than 4 times y is greater than twice x. Which graph represents the possible solutions?

Mathematics
2 answers:
Viefleur [7K]3 years ago
5 0
<span>The graph that would represent the best solutions of the problem would be:

Graph the inequalities 5 x minus y greater than or equal to 3 and 2 x minus 4 y less than 1

I hope my answer has come to your help. God bless and have a nice day ahead!


</span>
kotegsom [21]3 years ago
3 0
5/3x = y
2x-1/4=y
 
So B
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I am having trouble with this problem. I need to find the lengths of this right triangle. How would you do this?
podryga [215]
You labeled the triangle wrong sides 'a' and 'b' are supposed to be the sides that make the right angle.  the other side is called the hypotenuse which is the longest side which you should have labeled 'c'

so Pythagorean theorem says
a^2+b^2=c^2
so
(2x+1)^2+(11x+5)^2=(12x+1)^2
distribute
(4x^2+4x+1)+(121x^2+110x+25)=(144x^2+24x+1)
add like terms
125x^2+114x+26=144x^2+24x+1
subtract 125x^2 from both sides
114x+26=19x^2+24x+1
subtract 114x from both sides
26=19x^2-90x+1
subtract 26 from both sides
0=19x^2-90-25
factor
(x-5)(19x+5)=0
therefor x-5=0 and/or 19x+5=0
so
x-5=0 add 5 to both sides
x=5
19x+5=0
subtract 5 from both sides
19x=-5
divide both sides by 19
x=-5/19
since side legnths can't be negative, we can cross this solution out

so x=5
subtitute
1+2x
1+2(5)
1+10=11
side a=11

11x+5
11(5)+5
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side b=60

12x+1
12(5)+1
60+1=60
side c=61
add them all up
side a+b+c=11+60+61=132=total legnth
5 0
3 years ago
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