Mathematics: A bicycle tire 28 inches in diameter. Approximately how far does the bicycle tire move forward each time the wheel goes around?

A bicycle tire 28 inches in diameter. Approximately

Ответ:

gugu1004

14.03.2023

Mathematics

part a) $x=3, y=-2$

part b) verification in the procedure

part c) the graph in the attached figure

step-by-step explanation:

we have

$x-y=5$ > equation a

$4x+y=10$ > equation b

part a) use substitution to find the solution to the systems of equations

in the equation a isolate the variable x

$x=y+5$ > equation c

substitute equation c in equation b

$4(y+5)+y=10$

$4y+20+y=10$

$5y=10-20$

$y=-10/5=-2$

find the value of x

$x=-2+5=3$

the solution is equal to

$x=3, y=-2$

part b) algebraically verify your answer to part a

we have that

the solution is $x=3, y=-2$

verify in the equation a and in the equation b

equation a

$x-y=5$

substitute the value of x and the value of y in the equation and then compare

)=5[/tex]

$3+2=5$

$5=5$ > is true

equation b

$4x+y=10$

substitute the value of x and the value of y in the equation and then compare

$4(3)+(-2)=10$

$12-2=10$

$10=10$ > is true

therefore

the point $(3,-2)$ satisfy both equations

hence

the point $(3,-2)$ is the solution of the system of equations

part c) graphically verify your answer to part a

we know that

the intersection point both graphs is the solution of the system of equations

using a graphing tool

see the attached figure

the intersection point is equal to $(3,-2)$

therefore

the point $(3,-2)$ is the solution of the system of equations

0,0(0 оценок)

A bicycle tire 28 inches in diameter. Approximately how far does the bicycle tire move forward each time the wheel goes around?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question