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vitfil [10]
3 years ago
8

Which of the following is true regarding the quotient of StartFraction 7 + 9 I Over 1 + 2 I EndFraction? Check all that apply.

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

The real part of the quotient is 5.

The imaginary part of the quotient is –1.

The quotient is located in quadrant IV.

Step-by-step explanation:

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The boy to girl ratio in the class was 5 to 4 if there were 27 students how many boxes were there draw a ratio box for the probl
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3 years ago
If point P is 4/7 of the distnace frm M to N, what ratio does the point P partiion the directed line segment from M to N
vredina [299]

Answer: 4:3.

Step-by-step explanation:

Given: Point P is \dfrac{4}{7} of the distance from M to N.

To find: The ratio in which the point P partition the directed line segment from M to N.

If Point P is between points M and N, then the ratio can be written as

\dfrac{MP}{MN}=\dfrac{MP}{MP+PN}

As per given,

\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}

Hence, P partition the directed line segment from M to N in 4:3.

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