L=legnth
w=width
a=area
legnth is 3 more than twice its width
l = 3 + 2 times w
l=3+2w
a=65
a=l times w
subsitute
65=lw
l=3+2w
subsitute
65=(3+2w)(w)
65=3w+2w^2
subtract 65 from both sides
0=2w^2+3w-65
if we can factor then we can do
if zy=0 then assume z and/or y=0 so
to factor in ax^2+bx+c form when a is greater than 1,
aw^2+bw+c
2=a
3=b
-65=c
to factor first find
a times c=z
b=t+y
t times y=z
so
a times c=2 times -65=-130
b=3
factor -130
-130=
-1,130
-2,65
-5,26
-10,13
now add them together and see which ones make 3 or -3 (b)
-1+130=129
-2+65=63
-5+26=21
-10+13=3 match
seperate the middle number like that
3w=-10w+13w
so
2w^2-10w+13w-65=0
group
(2w^2-10w)+(13w-65)=0
factor
(2w)(w-5)+(13)(w-5)=0
reverse distribute ab+ac=a(b+c)
(2w+13)(w-5)=0
set each to zero
2w+13=0
w-5=0
solve
2w+13=0
subtract 13
2w=-13
divide 2
w=-6 and 1/2
impossible since width cannot be negative discard
w-5=0
add 5 to both sides
w=5
subsitute
65=wl
65=5l
divide 5
13=l
width=5 feet
legnth=13 feet
Answer:
(x, y) = (2, 1)
Step-by-step explanation:
given the 2 equations
2y - 3x = - 4 → (1)
6y + x = 8 → (2)
multiplying (2) by 3 allows the x terms to be eliminated
18y + 3x = 24 → (3)
add (1) and (3) term by term
(2y + 18y) + (- 3x + 3x) = (-4 + 24)
20y + 0 = 20 ( divide both sides by 20 )
y = 1
substitute y = 1 into either of the equations and solve for x
using (2), then
6 + x = 8 ( subtract 6 from both sides )
x = 2
solution (2, 1)
Ratio = 1/25
Let, the distance b/w cities on map = x
It would be: 1/25 = x/175
x = 175/25
x = 7
In short, Your Answer would be 7 in
Hope this helps!
Hi There!
Answer: Bowler 2
Why: if you notice that line in the box plot shows the median and it specifically shows that the meadian is 20 or so greater than Bowler 1.
Answer: B) 7 + or - the square root of 29 all over 2
Which of the following is a solution of x^2 - 7x = -5
A) 7 + or - the square root of 69 all over 2
B) 7 + or - the square root of 29 all over 2
C) -7 + or - the square root of 29 all over 2
D) -7 + or - the square root of 69 all over 2
Step-by-step explanation:
I just did the assignment and the correct answer is B) 7 + or - the square root of 29 all over 2! Hope this helps.
Good Luck!!