Answer:
<em>Any width less than 3 feet</em>
Step-by-step explanation:
<u>Inequalities</u>
The garden plot will have an area of less than 18 square feet. If L is the length of the garden plot and W is the width, the area is calculated by:
A = L.W
The first condition can be written as follows:
LW < 18
The length should be 3 feet longer than the width, thus:
L = W + 3
Substituting in the inequality:
(W + 3)W < 18
Operating and rearranging:
Factoring:
(W-3)(W+6)<0
Since W must be positive, the only restriction comes from:
W - 3 < 0
Or, equivalently:
W < 3
Since:
L = W + 3
W = L - 3
This means:
L - 3 < 3
L < 6
The width should be less than 3 feet and therefore the length will be less than 6 feet.
If the measures are whole numbers, the possible dimensions of the garden plot are:
W = 1 ft, L = 4 ft
W = 2 ft, L = 5 ft
Another solution would be (for non-integer numbers):
W = 2.5 ft, L = 5.5 ft
There are infinitely many possible combinations for W and L as real numbers.
The Slope of lines parallel to line is 1/2 and the Slope of lines perpendicular to line is -2.
<h3>What is the equation of a straight line ?</h3>
An equation that can be written in the form of y = mx+c
where m is the slope of the line
and c is the intercept on y axis
The equation given in the question is
y=1/2x−7
in this the slope = 1/2
Intercept = -7
For parallel Lines
For a parallel line , the slope of the line is same
and is given by m = 1/2
For a perpendicular line
Slope will be equal to
-1/m
here -1/m = -2
Therefore the slope for perpendicular line is -2.
To know more about Straight Line equation
brainly.com/question/959487
#SPJ1
The domain of the function is represented by option C. All real numbers.
HEY MATE YOUR ANSWER IS HERE
★ GIVEN EQUATION ★
X + Y = 4
★ SOLUTION ★
LET VALUE OF X = 0 , 1 , 2 , 3 AND 4
WHEN X = 0
0 + Y = 4
Y = 4
WHEN X = 1
1 + Y = 4
Y = 3
WHEN X = 2
2 + Y = 4
Y = 2
WHEN X = 3
3 + Y = 4
Y = 1
WHEN X = 4
4 + Y = 4
Y = 0
NOW OUR 5 COORDINATES OF LINE X + Y = 4 ARE
A ( 0 , 4)
B ( 1 , 3 )
C ( 2 , 2)
D ( 3 , 1 )
E ( 4 , 0 )
THANKS FOR YOUR QUESTION HOPE THIS HELPS
can i have a brill
thank u
good luck
