Answer:
x² + 16x + 64
Step-by-step explanation:
To find f(g(x)) , substitute x = g(x) into f(x), that is
f(x + 7)
= (x + 7)² + 2(x + 7) + 1 ← expand (x + 7)² using FOIL
= x² + 14x + 49 + 2x + 14 + 1 ← collect like terms
= x² + 16x + 64
Answer:
the length measure of OP is 35 yd
Step-by-step explanation:
The problem says that the two shapes are congruent. This means they have the same length and angle measurements. So, in order to find out what OP is, you have to find its corresponding part which is WX. The measurement of WX is 35 yd which means that the measurement of OP is also 35 yd because they are corresponding side lengths therefore being the same.
6.6 Symmetries of Regular
Polygons
A Solidify Understanding Task
A line that reflects a figure onto itself is called a line of symmetry. A figure that can be carried onto
itself by a rotation is said to have rotational symmetry. A diagonal of a polygon is any line
segment that connects non-consecutive vertices of the polygon.
For each of the following regular polygons, describe the rotations and reflections that carry it onto
itself: (be as specific as possible in your descriptions, such as specifying the angle of rotation)
1. An equilateral triangle
2. A square
3. A regular pentagon
4. A regular hexagon
Can you clarify or add a picture?
Answer:
$82.50
Step-by-step explanation:
8.75 * 8 = 70
5 * 2.50 = 12.5
70 + 12.5 = 82.5
So, one employee would earn a total of $82.50 which also means that each employee earned $82.50
