The figure shown is a rectangle. If you draw a new rectangle in which the dimensions are doubled, what is the relationship betwe
en the PERIMETERS of the two rectangles?
A) The perimeter of the new rectangle is twice that of the original rectangle.
Eliminate
B) The perimeter of the new rectangle is one-half that of the original rectangle.
C) The perimeter of the new rectangle is four times that of the original rectangle.
D) The perimeter of the new rectangle is one-fourth that of the original rectangle.
A) The perimeter of the new rectangle is twice that of the original rectangle.
Eliminate
B) The perimeter of the new rectangle is one-half that of the original rectangle.
C) The perimeter of the new rectangle is four times that of the original rectangle.
D) The perimeter of the new rectangle is one-fourth that of the original rectangle.
1 answer:
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Answer:
x = y²
Step-by-step explanation:
Any point (x, y ) on the parabola is equidistant from the focus and the directrix
Using the distance formula, then
= | x + 3 |
Squaring both sides
(x - 3)² + y² = (x + 3)² ← expanding both sides
x² - 6x + 9 + y² = x² + 6x + 9 ← subtract x² + 6x + 9 from both sides
- 12x + y² = 0 ( subtract y² from both sides )
- 12x = - y² ( divide both sides by - 12 )
x = y²
Answer:
25
Step-by-step explanation:
We require to solve for n, hence
n(n + 1) = 325
multiply both sides by 2 to eliminate the fraction
n(n + 1) = 650
n² + n = 650
subtract 650 from both sides to have equation in standard form
n² + n - 650 = 0 ← in standard form
(n + 26)(n - 25) = 0 ← in factored form
equate each factor to zero and solve for n
n + 26 = 0 ⇒ n = - 26
n - 25 = 0 ⇒ n = 25
however, n > 0 ⇒ n = 25