Answer:
The true statements are:
the first statement: Systems A and C have the same solution
the fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18
the fifth statement: Systems A and B have different soltuoins.
Explanation:
1) The first statement: systems A and C have the same solutiotn: TRUE
The fourth statement proves that that the two systems are equivalent which means that both have the same solution.
2) The second statement: All three systems have different solutions: FALSE
The fourth statement proves that the systems A and C have same solution, so this second statement is false.
3) The third statement: Systems B and C have the same solution: FALSE
<span>You can solve the two systems and will find the solutions are different
Solution of system B.
3x - 4y = 5
y = 5x + 3
replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5
=> 3x - 20x - 12 = 5
=> - 17x = 5 + 12
=> -17x = 17
=> x = - 17 / 17
=> x = - 1
y = 5x + 3 = 5(-1) + 3 = - 5 + 3 = - 2
=> solution x = -1 and y = -2
Solution of system C.
2x - 3y = 4
12x - 3y = 54
subtract
</span>
4) fourth statement: System C simplifies to <span>2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three: TRUE
Look:
Second equation of system C = 12x - 3y = 54
Divide by 3:
12x - 3y 54
----------- = -----
3 3
Distributive property:
12x 3y
------ - ----- = 18
3 3
4x - y = 18, which is the same second equation of system A, so the system C simplifies to the same system A, which is 2x - 3y = 4 and 4x - y = 18.
5) The fifth statement: systems A and B have different solutions: TRUE
</span><span>You can solve the two systems and will find the solutions are different
Solution of system A:
2x - 3y = 4
12x - 3y = 54 since it is equivalent to 4x - y = 18
-------------------
12x - 2x = 54 - 4 subtracting the first equation from the secon
10x = 50 adding like terms
x = 5 dividing by 10
From 2x - 3y = 4 => 3y = 2x - 4 = 2(5) - 4 = 10 - 4 = 6
=> y = 6 / 3 = 2
=> x = 5, y = 2
Solution of system B.
3x - 4y = 5
y = 5x + 3
replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5
=> 3x - 20x - 12 = 5
=> - 17x = 5 + 12
=> -17x = 17
=> x = - 17 / 17
=> x = - 1
Which is enough to prove that the two systems have different solutions.</span>
The answer would be 3,799.4 I don’t know how to get it to the nearest hundredth because I used my phone calculator but to find the answer you would take radiusxradiusxheightxpi so 11x11x10x3.14
The other factor of the polynomial which Sari is factoring and found that the one factor of this equation is (x+1) is (2x+3).
<h3>What is a factor of polynomial?</h3>
The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
The polynomial which Sari is factoring is,
One factor of this equation is
Factor the given polynomial using the split the middle term method,
Thus, the other factor of the polynomial which Sari is factoring and found that the one factor of this equation is (x+1) is (2x+3).
Learn more about factor of polynomial here;
brainly.com/question/24380382
Usando un sistema de ecuaciones, se encuentra que la rapidez inicial del primer ninõ es 4.95 m/s.
-------------------------
- Consideramos que la rapidez inicial de el primer ninõ es x, y de el segundo es y.
El primer niño rebota <u>1.5 veces más alto que el segundo</u>.
O sea:
La rapidez inicial del segundo niño es de 3.3 m/s.
Esto implica que 
¿Cuál es la rapidez (m/s) inicial del primer niño?
La rapidez inicial del primer ninõ es 4.95 m/s.
Un problema similar es dado en brainly.com/question/24646137
