Answer:
Step-by-step explanation:
f(x) = (x + 3)(x - 2) has two zeros: One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).
The axis of symmetry is a vertical line located halfway between -3 and 2:
x = -1/2.
The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).
With this information we can eliminate the last two possible answers. Note that the x-intercepts of the first graph are -3 and 2, Thus, the first graph is the correct one.
Answer: I believe the answer is 216 Square units.
Explanation:
1. Cut the shape in half. Now you have a square and a triangular shape.
2. The square is 12 inches on all four sides. 12 • 12 = 144. 144 is the area for the square.
3. Now, the triangular shape. The bottom of the shape is 12 because we divided the total 24 in half with the square. The left side (the longer side) of the shape is also 12 because it is parallel to the square with 12 as the same measurement. The right side (the shorter side) of the shape is 6 because it's half the size of the square’s length. The length of the top of the shape is also 12 because it is half of the square’s width of 24.
4. Now that we have found the measurements of the triangular shape, we can multiply (length • width) and add. The square is 144 units (12•12=144) and the triangular shape is 72 (12•6=72). 144 + 72= 216.
I hope this helps! :)
The hinge theorem states that if two triangles have equivalent side lengths but different angles, the triangle with the larger angle is going to have a longer opposing side.
UVT < UTS < STR
That means that VU < US < SR, due to the hinge theorem
The answer would be 14, because 1.75 x 8= 14
