The answer is: [A]: He did not apply the distributive property correctly for 4(1 + 3i) .
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Explanation:
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Note the distributive property of multiplication:
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a*(b+c) = ab + ac.
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As such: 4*(1 + 3i) = (4*1) + (4*3i) = 4 + 12i ;
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Instead, Donte somehow incorrectly calculated:
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4*(1 + 3i) = (4*1) + 3i = 4 + 31; (and did the rest of the problem correctly);
Note: - (8 - 5i) = -8 + 5i (done correctly;
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So if Donte did not apply the distributive property correctly for 4*(1+3i)—and incorrect got 4 + 3i (as mentioned above); but did the rest of the problem correctly, he would have got:
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4+ 3i - 8 + 5i = -4 + 8i (the incorrect answer as stated in our original problem.
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This corresponds to: "Answer choice: [A]: <span>He did not apply the distributive property correctly for 4(1 + 3i)."
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Answer: 7
Step-by-step explanation:
5+7+9=21
3 total numbers to start with so;
21/3=7
Step 1: Given
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
Step-by-step explanation:
We need to match the reason with the correct step in the equation.
Equation:
Given:
Applying Distributive property a(b+c)=ab+ac
Now, Applying addition property of equality:
Adding +4x on both sides
Now, Applying Division property of Equality:
Divide both sides by 6:
So, Answer will be:
Step 1: Given
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
Keywords: Solving Equations
Learn more about Solving Equations at:
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Option d) is correct, i.e. a rotation, then a dilation. Transformation will create a pair of similar but not congruent triangles.
Which composition of transformations will create a pair of similar, not congruent triangles?
<h3>What is congruent geometry?</h3>
In congruent geometry, the shapes that are so identical. can be superimposed to themselves.
When triangle is rotated, than position of angles will change. Aftermath the dilation of the triangle would increase the proportion of the sides, but angles remains equal, by which the triangle remain similar but not congruent.
Thus, a rotation, then a dilation transformation will create a pair of siilar but not congruent triangles.
Learn more about congruent geometry here.
brainly.com/question/12413243
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Answer:
Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.
Step-by-step explanation:
Given the equation of a line, -2y = 5x + 8, first rewrite the equation in the slope-intercept form, before determining the slope of the lines that will be parallel to it, and slope of lines that will be perpendicular to it.
-2y = 5x + 8
Divide both sides by -2
y = 5x/-2 + 8/2
y = -⁵/2x + 4
The slope of the line of this equation is -⁵/2.
Linea that will be parallel to the given equation will have the same slope, while all lines that will be perpendicular to it will be a negative reciprocal of the slope of the equation.
Therefore:
Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.
