Answer:
40 ft²
Step-by-step explanation:
The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle
✔️Area of triangle 1:
Area = ½*bh
b = 6 - 3 = 3 ft
h = 11 - 7 = 4 ft
Area of triangle 1 = ½*3*4 = 6 ft²
✔️Area of triangle 2:
Area = ½*by
b = 2 ft
h = 3 ft
Area of triangle 2 = ½*2*3 = 3 ft
✔️Area of rectangle = L × W
L = 11 ft
W = 3 ft
Area of rectangle = 11 × 3 = 33 ft
✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²
Given:
The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).
To find:
The vertices for
.
Solution:
The rule
represents refection of polygon QRST across the x-axis.
If a figure is reflected across the x-axis, then

Using this rule, we get




Therefore, the vertices for
are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).
Answer:
x=25
Step-by-step explanation:
divide each side by 5
125/5=25
g(x) = x^3 − x^2 − 4x + 4
g(x) = x^3 + 2x^2 − 25x − 50
g(x) = 2x^3 + 14x^2 − 2x − 14