A function, h(x), is defined as shown. h(x) = StartLayout Enlarged left-brace 1st row 1st column one-fourth x minus 4, 2nd colum
2 answers:
You might be interested in
Answer:
There are two possible solutions for the other two vertices of the rectangle:
(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)
Step-by-step explanation:
Geometrically speaking, the perimeter of a rectangle () is:
(1)
Where:
- Base of the rectangle.
- Height of the rectangle.
Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:
If we know that and
, then the height of the rectangle is:
There are two possible solutions for the other two vertices of the rectangle:
(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)
Answer: 20 unit.
Step-by-step explanation:
Since, Here the vertices of the rhombus defg are d(1, 4), e(4, 0), f(1, –4), and g(–2, 0).
Where, de, ef, fg, gd are sides of the rhombus defg.
By the distance formula,
Thus, the side of rhombus = 5
By the property of rhombus,
de = ef = fg = gd = 5 unit.
Thus, the perimeter of the given rhombus defg = de + ef + fg + gd = 5+5+5+5 = 20 unit