Answer: the length of the field is 70 yards. The width of the field is 35 yards
Step-by-step explanation:
Let L represent the length of the rectangular athletic field.
Let W represent the width of the rectangular athletic field.
A rectangular athletic field is twice as long as it is wide. This means that
L = 2W
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter of the athletic field is 210 yards, it means that
210 = 2(L + W)
L + W = 210/2 = 105
Substituting L = 2W into L + W = 105, it becomes
2W + W = 105
3W = 105
W = 105/3 = 35
L = 2W = 2 × 35
L = 70
It should be k= 4 or -1/3
Answer:
2x²(x + 3)(x - 18)
Step-by-step explanation:
2x^4 - 30x^3 - 108x^2
~Factor out common term
2x²(x² - 15x - 54)
~Factor whats inside parenthesis
2x²(x + 3)(x - 18)
Best of Luck!
Step-by-step explanation:
x+x+10+50=180
2x+60=180
2x=180-60
2x=120
x=120/2
x=60
Answer:
- rotation 90° CCW
- translation 2 units upward
Step-by-step explanation:
It can help to draw a diagram.
In the attached diagram, the red triangle (RST) is the original, the purple one (ABC) is after rotation CCW by 90°, and the blue one (R'S'T') is after that is translated upward 2 units. R'S'T' is the final position.
Since RS and R'S' are oriented 90° with respect to each other, clearly a CCW rotation of that amount is required. The trick is to figure out which direction the translation occurs.
The translation can be done before or after the rotation. If done before, it needs to be 2 units to the right (not a choice). If done after, it can be 2 units up, as in this drawing.