Answer:
x = 6
Step-by-step explanation:
First find the gradient,
Since this line has no gradient, it means that it's a horizontal or vertical line. We cannot substitute in the values because the gradient is 0 so this line will only be x = 6
Cynthia Besch wants to buy a rug for a room that is 21 ft wide and 34 ft long. She wants to leave
1 answer:
Answer:
Dimensions of the rug = 13 ft × 26 ft
Step-by-step explanation:
Dimensions of the room = 21 ft × 34 ft
Area of the room = 21 × 34 = 714 ft²
Cynthia wants to leave a uniform strip of floor around the rug.
Let the width of the rug = x ft
Then the dimensions of the rug will be = (21- 2x)ft × (34 - 2x)ft
Area of the rug = (21 - 2x)×(34 - 2x) square feet
338 = (21 - 2x)×(34 - 2x)
338 = 714 - 68x - 42x + 4x²
4x² - 110x + 714 - 338 = 0
4x² - 110x + 376 = 0
2x² - 55x + 188 = 0
2x² - 47x - 8x + 188 = 0
x(2x - 47) - 8(x - 47) = 0
(x - 4)(2x - 47) = 0
x = 4,
For x = 23.5 area of the rug will be negative.
Therefore, x = 4 ft will be the width of the rug.
Dimensions of the rug will be 13 ft × 26 ft.
You might be interested in
Answer:
Odds against the events are 7/9.
Step-by-step explanation:
It is given that:
Odds in favor of event = 2 : 9 or 2/9
Let,
These odds are out of 1.
The odds against the event would be
Odds against = 1 - 2/9
Odds against =
Odds against =
Therefore,
Odds against the events are 7/9.