Answer:
8-10 feet
Step-by-step explanation:
If the length of the carpet is two more than the width, the width can be expressed as x and the length can be expressed as x+2. This means that the area(x^2+2x) must be greater than 48 but no less than 80.
Now we can solve for both the maximum and minimum cases:
x^2+2x=48, x^2+2x-48=0, now we can factor, (x+8)(x-6)=0, and now we can use the Zero Product Property to find x=-8;x=6. Since we cant have negative width, x at least has to be equal to 6.
x^2+2x=80,x^2+2x-80=0, now we can factor, (x+10)(x-8), and now using the Zero Product Property to find x=-10;x=8, and since it must be positive, at most x can equal 8.
Now since the length is two more than the width, x, you add two to both of these values and get a range of 8-10 feet.
Answer:
2x^2-3x-5=y
(2x-5)(x+1)=y
(2x-5)(x+1)=0
2x-5=0
2x=5
x=2.5
x+1=0
x=-1
Have a great day!
Step-by-step explanation:
We have to calculate the 20% of $30.75
The 20% of $30.75=(20/100)*$30.75=(20*$30.75)/100=$6.15
The sale price of the jacket was $6.15.
For similarity measures of corresponding angles should be equal so we would use AA similarity postulate
<span>Information is given(reasons are in the parenthesis)
Angle A and angle B are supplementary. Angle B and Angle C are supplementary (given)
DC is parallel to AB (consecutive interior angles are supplementary )
BC is parallel to AD (consecutive interior angles are supplementary)
ABCD is a parallelogram (definition of parallelogram, has to pairs of parallel sides)</span>
