Answer:
Dimensions = 21 centimeters by 4.2 centimeters.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 50cm
Translating the word problem into an algebraic expression, we have;
L = 5W
To find the dimensions of the rectangle;
Perimeter of rectangle = 2L + 2W
50 = 2L + 2W
50 = 2(5W) + 2W
50 = 10W + 2W
50 = 12W
W = 50/12
W = 4.2 cm.
To find the length;
L = 5W
L = 5*4.2
L = 21 cm.
we are given
Firstly, we will simplify left side
and then we can solve for k
Left side is
we can arrange like terms
now, we can use property of exponent
now, we can equate it with right side
and we get
We can see that both sides have 30 , a and b
and they are equal
so, exponent of a must also be equal
now, we can solve for k
................Answer
The vertex is F. (-1,-9) x-intercepts are D. (-4,0),(2,0).