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Lynna [10]
3 years ago
8

HELP ME !!! PLEASE ! I NEED HELP WITH THESE 2 PROBLEMS !!!! 20 POINTS!!!

Mathematics
1 answer:
Elena-2011 [213]3 years ago
4 0
In the first problem, the student is trying to find the solution of the two equations
so the student should use both equations
what the student did was only use the 2nd equation twice (if you use the same equation there are infinite solutions) when he/she should have used both equations

for the 2nd problem
trashaway=0.25x+25 where x=number of pounds
garbagenomore=45
solve where they intersect or where they are equal
45=0.25x+25
20=0.25x
80=x
80lb
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If the perimeter of a right triangle is 42 units and the length of the hypotenuse is 20 units, find the length of the other two
Mashutka [201]
So
a^2+b^2=c^2
c=hypotenuse
a^2+b^2=20^2=400

if the permiter is 42 then
p=hypotonuse+side+side
42=20+side+side
subtract 20 from both sides
22=side+side

a+b=22
subtract b from both sides
a=22-b
subsitute for a in equation below
a+2+b^2=c^2
(22-b)^2+b^2=400
b^2-44x+484+b^2=400
2b^2-44x+484=400
divide both sides by 2
b^2-22x+242=200
subtract 200 from both sides
b^2-22x+42=0
factor
(b+/-number)(b+/-number)
to find the numbers, find which 2 number multiply to 42 and add to get -22
the numbers must be neative since same signs multiplied=positive and negative+negative=negative
(b-number)(b-number)
facrors of 42=2,3,6,7,14,21
2,21
3,14
6,7
it's hard to find the number, but the numbers are -19.8882 and -2.11181
(b-19.8882)(b-2.11181)=0
if xy=0 then assume that x and y=0

b-19.8882=0
add 19.8882 to both sides
b=19.8882

b-2.11181=0
add 2.11181 to both sides
b=2.11181



the side legnths are 19.8882 units and 2.11181 units
4 0
4 years ago
How many systems dose this equation have​
allochka39001 [22]

Answer:

2

Step-by-step explanation:

6 0
2 years ago
If you have 21 cats and give 2 away how much will you have
nexus9112 [7]

Answer:

19

Step-by-step explanation:

21 - 2 is 19

5 0
4 years ago
Read 2 more answers
If f(x) and f–1(x) are inverse functions of each other and f(x)=2x+5, what is f–1(8)?
Anastaziya [24]
I hope this helps you

4 0
4 years ago
Read 2 more answers
What is the simplest form of x^2+5X-36/x^2-16<br> X+9/X+4<br> 9/4<br> X+9/X-4<br> -9/4
Digiron [165]

Answer:

\frac{ {x}  + 9}{x - 4}

Step-by-step explanation:

\frac{ {x}^{2}  + 5x - 36}{ {x}^{2}  - 16}  \\  \\  = \frac{ {x}^{2}  + 9x  - 4x- 36}{ {x}^{2}  -  {(4)}^{2} } \\  \\  = \frac{ x({x}  + 9)  - 4(x + 9)}{ (x + 4)(x - 4) }  \\  \\  = \frac{ ({x}  + 9) \cancel{(x  - 4)}}{  \cancel{(x + 4)}(x - 4) } \\  \\  = \frac{ {x}  + 9}{x - 4}

7 0
3 years ago
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