<span> 32x4 - 12x2 + 7x
-------------------
2x</span>
Answer: c 5 cm
Step-by-step explanation: 40 - 35 is 5 cm
This is a proportional problem.
The distance 'd' corresponds to the 9 inches.
The 7-ft pin corresponds to the size 's'.
Convert 7ft to 7/3 yds. This way you have equal ratio of yds to inches.
The answer is z = 3 + i
z = a + bi
conj(z) = a - bi
conj(7 + 3i) = 7 - 3i
<span>(conj)z + 2z = 2 + 4i + conj(7 + 3i)
</span>a - bi + 2(a + bi) =<span> 2 + 4i + 7 - 3i
</span>a - bi + 2a + 2bi =<span> 2 + 4i + 7 - 3i
</span>3a + bi = 9 + i
From here:
3a = 9 and bi = i
a = 9/3 b = i/i
a = 3 b = 1
z = a + bi
z = 3 + 1 * i
z = 3 + i
ANSWER
T(-2,1)
EXPLANATION
Let T(a,b) be the coordinates.
When this point is rotated 90° counterclockwise about the origin,
Then,
If this point is then translated using the rule;
then,
It was given that, T"(-2,5)
This implies that,
-b-1=-2
-b=-2+1
-b=-1
b=1
a+7=5
a=5-7
a=-2
Therefore the coordinates of T are:
(-2,1)