The length of the rectangle garden is three feet less than twice its width. if the perimeter of the garden is 42 feet, what is its length? ( 10marks)

13 feet

Step-by-step explanation:

You are given that the perimeter, P, of the rectangle is 42 meters (i.e., P = 42). Also, the length, L, of the rectangle is 3 meters less than 2 times the width, W (i.e., L = 2W - 3).

Recall that the perimeter, P, of a rectangle is given by the following formula:

    P = 2W + 2L

Substituting 2W - 3 for L, we arrive at the following:

   P = 2W + 2(2W - 3)

   P = 2W + 2·2W + 2·-3  

   P = 2W + 4W - 6

   P = 6W - 6

Since we were given that  P = 42, then

    42 = 6W - 6

    42 + 6 = 6W - 6 + 6

    48 = 6W

    48/6 = 6W/6

    8 = W

Therefore, the width of the rectangle is 8 meters. Use this value to solve for the length:

    L = 2W - 3

    L = 2·8 - 3

    L = 16 - 3

    L = 13

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.