Answer:
50 ft.
Step-by-step explanation:
It is given that the ratio of width-to-length is 2 : 5.
Let,
Width = 2x ft
Length = 5x ft
Perimeter of the rectangle is
It is given that the perimeter of the rectangle is 140 ft.
Divide both sides by 14.
The value of x is 10.
Therefore, the length of the rectangle is 50 ft.
Jenna is correct, radical 2 is not rational but 2 is
With 8% tax of $192, $2,592.
Answer:
(d) -11
Step-by-step explanation:
The sum of the acute angles of a right triangle is 90°. (That makes the sum of all angles be 180°, as it is for any triangle.)
65° +(36 +x)° = 90°
x = 90 -101 . . . . . . . . divide by °, subtract 101
x = -11
Answer:
Option D is correct.
Step-by-step explanation:
The vertex is (-3,6)
We will check which equation satisfies the given vertex.
A) y = -3(x-3)^2 - 6
if x = -3 then value of y should be 6
Checking:
y = -3(-3-3)^2 - 6
y = -3(-6)^2 - 6
y = -3(36) -6
y = -114
if x= -3, y ≠ 6
B) y = -3(x+3)^2 - 6
if x = -3 then value of y should be 6
Checking:
y = -3(-3+3)^2 - 6
y = -3(0)-6
y = -6
if x= -3, y ≠ 6
C) y = -3(x-3)^2 + 6
if x = -3 then value of y should be 6
Checking:
y = -3(-3-3)^2 + 6
y = -3(-6)^2 + 6
y = -3(36) + 6
y = -102
if x= -3, y ≠ 6
D) y = -3(x+3)^2 + 6
if x = -3 then value of y should be 6
Checking:
y = -3(-3+3)^2 + 6
y = -3(0)^2 + 6
y = 6
So, if x= -3, y =6 so, if the vertex of parabola is at (-3,6) the equation will be
y = -3(x+3)^2 + 6
So. Option D is correct.