Answer:
-15.96
Step-by-step explanation:
A conjugate is a binomial with the sign inside changed. So the conjugate of (1/5 + 4i) is (1/5 - 4i)
Set the original and the conjugate next to each other and F.O.I.L. Multiply the first numbers of each binomial, the 1/5 and the 1/5 to get 1/25. This is the "F."
Multiply the outer members, the 1/5 and the 4i to get - 60i. This is the "O."
Multiply the inner numbers ( the + 4i and the 1/5) to get + 60i. This is the "I."
Multiply the positive 4i and the negative 4i to get 16i squared
The positive 60i and the negative 60i cancel each other out.
The i squared changes into - 1. This makes the 16 negative.
Add 1/25 to - 16 to get - 15.96
3, 6, 9, 12, 15
5, 10, 15
1/3 = 5/15
3/5 = 9/15
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Answer:
True
Step-by-step explanation:
an obtuse triangle is a big one, an acute triangle is a small one. They are both triangles, but they are not similar besides that
Answer: k = -8/9j + -1/9m + 1
Step 1: Flip the equation.<span><span><span><span>−8j </span>− 9k </span>+ 9 </span>= m
</span>Step 2: Add -9 to both sides.<span><span><span><span><span>−8j </span>− 9k </span>+ 9 </span>+ −9 </span>= <span>m + −9</span></span><span><span><span>−8j </span>− 9k </span>= <span>m − 9
</span></span>Step 3: Add 8j to both sides.<span><span><span><span>−8j </span>−9k </span>+ 8j </span>= <span>m −9 + 8j</span></span><span><span>−9k </span>= <span><span>8j + m </span>−9
</span></span><span>Step 4: Divide both sides by -9.
-9k/-9 = 8j + m - 9/-9
</span><span>k = -8/9j + -1/9m + 1</span>
