Answer:
1. -6
Step-by-step explanation:
f(x)=x²-9
g(x)= x-3
1. (f+g)(2) =
(2²-9)+(2-3) = (4-9)+(2-3) = (-5)+(-1)= -6
Answer:
B.99°
Step-by-step explanation:
105°+ 66°+90°+ angle c=360°
angle c= 360° - 261
=99°
Answer:
im not really smart lol
Step-by-step explanation:
Answer:
length=16feet width=12feet
Step-by-step explanation:
This may not be the best way, i just stumbled upon the answer using this.
I knew 14*14=196, which is relatively close to 192.
Then, I took away 2 from one of the 14s and added it to the other 14.
14-2=12 14+2=16
Apparently, 16*12 is 192, so that's the answer.
the Answer:
Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.
Note:
A dilation is NOT referred to as a rigid transformation (or isometry) because the image is NOT necessarily the same size as the pre-image (and rigid transformations preserve length).
What happens when scale factor k is a negative value?
If the value of scale factor k is negative, the dilation takes place in the opposite direction from the center of dilation on the same straight line containing the center and the pre-image point. (This "opposite" placement may be referred to as being a " directed segment" since it has the property of being located in a specific "direction" in relation to the center of dilation.)
Let's see how a negative dilation affects a triangle:
Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.