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weqwewe [10]
3 years ago
15

Simplify the given expression:

Mathematics
1 answer:
maria [59]3 years ago
8 0
We will multiply the two using the distributive property:
-5(1 - 2i) + 3i(1 - 2i)
= -5 + 10i + 3i - 6i²
Now, i² = -1
= -5 + 10i + 3i -6(-1)
= 6 - 5 + 10i + 3i
= 1 + 13i
The second option is correct.
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The measure of one angle is 13 less than five times The measure of another angle. The sum of the measure of the two angles is 14
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\huge\boxed{a=\frac{229}{2};\ \ b=\frac{51}{2}}

<em>In decimal form, a = 114.5; b = 25.5</em>

We will write this as a system of equations, where a and b are the two angles.

\left \{ {{a=5b-13} \atop {a+b=140}} \right

We will use substitution to solve this system. We know what a equals, so we plug that into the second equation.

5b-13+b=140

Combine the like terms.

6b-13=140

Add 13 on both sides.

6b=153

Divide both sides by 6.

b=\frac{153}{6}=\boxed{\frac{51}{2}}

Now just subtract that from 140.

a=140-\frac{51}{2}=\boxed{\frac{229}{2}}

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A fruit punch recipe that serves 20 people calls for 32 fluid ounces of pineapple juice and 48 fluid ounces of orange juice. Mon
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Step-by-step explanation:

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