<h2>
Answer:</h2>
Step 1: Determine <u><em>b</em></u> by using the point (-6,-2), the given slope, and the slope intercept formula, y = mx + b.
Step 2: Now that we have <u><em>b</em></u>, we can determine the equation of the line.
I didn't use <em>+ (-1)</em> because <em>b</em> is negative. Therefore you need to change the equation from <em>y = 1/6x + (-1)</em> to <em>y = 1/6x - 1</em>.
Given number is 7664
Value of first 6 is 600.
Value of second six is 60.
So we can find
So we can say six in 100 place is 10 times greater than six in tenth place.
9514 1404 393
Answer:
graphs left to right have a=1, a=0.25, a=-1
Step-by-step explanation:
A negative value of 'a' makes the parabola open downward, so the rightmost graph goes with a=-1.
A value of 'a' less than 1 flattens the graph, so the middle graph goes with a=0.25.
A value of 1 gives a standard open-upward parabola, corresponding to the leftmost graph.
a) The equations to determine the length and the width of the rug are
l = 4 + w and l × w = 21
b) The enlarged rug's area = 60 square feet
Step-by-step explanation:
Step 1 :
Let l be the length and w represent the width of the rectangular rug
Given the area = 21 square feet.
So l × w = 21
Also given, the length is 4 feet longer than the width .
So we have
l = 4 + w
Step 2 :
Using the above 2 equations we have
(4+w)w = 21
w² + 4 w - 21 = 0
(w+7)(w-3) = 0
=> w = -7 or w = 3
Since w is the width of the rug, we take the positive value w = 3 as the width
So w = 3 feet
So
l = 4 + w = 4 +3 = 7 feet
Step 3 :
When a 1.5 foot border is added all the way round the rug, the length and width are increased by 3 feet (1.5 feet on both sides) the rug's enlarged length and the rug's enlarged width is
l = 7 + 3 = 10
w = 3 + 3 = 6
The enlarged rug's area = 10 × 6 = 60 square feet
Step 4 :
Answer :
The equations to determine the length and the width of the rug are
l = 4 + w and l × w = 21
The enlarged rug's area = 60 square feet
