Answer:
f(3)=g(6) point of intersection
ANSWER

EXPLANATION
The width of the rectangle is |AB|
A(-1,4) and B(3,3)
We use the distance formula,

This implies that,.




The length is BC
C(1,-5) and B(3,3)





The area is



Part.1Given equation:
C(t) = -0.30 (t – 12)²<span> + 40
</span>For t = 0
C(t) = -0.30 (0 - 12)² + 40
C(t) = -0.30 (-12)² + 40
C(t) = -3.2<span>
</span><span>For t = 12 (noon)
C(t) = -0.30 (12 - 12)</span>² + 40
C(t) = -0.30 (0)² + 40
C(t) = 40
<span>For t = 24 (midnight)
</span>C(t) = -0.30 (24 - 12)² + 40
C(t) = -0.30 (12)² + 40
C(t) = -0.30 × 144 + 40
C(t) = - 43.2 + 40
C(t) = -3.2
Part.2
Graph of the equation is given in the attachment.
Part.3
C(t) = –0.30(t – 12)²<span> + 40
F(t)=9/5C(t)+32
Substituting the values:
</span>F(t)=9/5{–0.30 (t – 12)² + 40}+32
F(t) = -0.54 (t – 12)² + 72 + 32
F(t) = -0.54 (t – 12)² + 104
The first false statement in the proof as it stands is in Line 5, where it is claimed that a line of length 2.83 is congruent to a line of length 4.47. This mistake cannot be corrected by adding lines to the proof.
_____
The first erroneous tactical move is in Line 4, where the length of DE is computed, rather than the length of FD. This mistake can be corrected by adding lines to the proof.
A correct SAS proof would use segment FD in Line 4, so it could be argued that the first mistake is there.