Question

Word problems):

Answer 1

Does anyone know how to do this and can explain it to me.

Answer 2

area is width times length
width is 6 feel less than length
if you call the length \(x\) then the width is \(x-6\) and the area is
\[x(x-6)=247\]

Answer 3

^_^

Answer 4

you can probably solve this by guessing and checking
for example \(20\times 14=280\) so you need to go a bit lower

Answer 5

well, lol actually only one lower

Answer 6

Can we solve the equation you made?

Answer 7

sure
you mean without guessing? i like to guess
but math teachers like equations
in this case it comes down to the same thing

Answer 8

Im not good at guessing lol but to solve this do you have to distribute the x on the outside of the parentheses?

Answer 9

when i see
\[x(x-6)=247\] i would make an educated guess
i guessed \(x=20\) but it is wrong because \(20\times 14=280\) so \(20\) is too big
then tried \(19\) and nailed it because \(19\times 13=247\)

Answer 10

but if you want to do this
\[x(x-6)=247\\
x^2-6x=247\\
x^2-6x-247=0\] you can do it that way too

Answer 11

now you have to guess as i did
two numbers six apart whose product is \(-247\) if you are going to solve it by factoring
you would get
\[(x-19)(x+13)=0\]

Answer 12

you kind of can't avoid the 19 and 13

Answer 13

Ohhh okay that makes sense sorry I was having computer troubles. I have a couple other problems to do so Im gonna go try and do those.

Answer 14

Could you help me with one more?

2. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. What is the maximum height, in feet, the ball will attain?