Answer:
width=4in.
length=13in
Step-by-step explanation:
let the width of the rectangle be x
then the length will be x+9
Area= length×width
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
the width is 4in. and the length is 4+9=13in.
According to your text first equation is
y = 3x+2
second equation is
y = Ix-1I + 1
Definition of our absolute value Ix-1I is
1) we take x-1 with condition x-1≥0 => x≥1
2) we take -(x-1) = -x+1 with x<1
Let's form the first system with condition x≥1
y= 3x+2 and y=x-1+1=> y=x
If the left sides of the equations are equal, than the right sides are equal too
3x+2=x => 3x-x=-2 => 2x=-2 => x=-1
This solution we can't accept because it does not meet the condition
x≥1
Lets's form the second system with condition x<1
y=3x+2 and y= -x+1+1 =. y = -x+2
In the same way as previous the right sides are equal =>
3x+2=-x+2 => 3x+x = +2-2 => 4x=0 => x=0
We accept this solution bacause its meet with condition x<1
When we replace this solution in equation y=3x+2 we got
y=3*0+2=2 Only one solution is (x,y) = (0,2)
Good luck !!!!!
Answer:
40words
Step-by-step explanation:
Answer: N=-4
Step-by-step explanation:
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
-4n - 9 = -1 • (4n + 9)
Equation at the end of step
2
:
-3 • (4n + 9) - 21 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
-12n - 48 = -12 • (n + 4)
Equation at the end of step
4
:
-12 • (n + 4) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : -12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : n+4 = 0
Subtract 4 from both sides of the equation :
n = -4
One solution was found :
n = -4
Answer:
if the height is 5 then the answer is 1.2 but its possible i am wrong.
