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3 years ago

A system of linear equations contains two equations with negative reciprocal slopes. How many solutions will it have?

Mathematics

2 answers:

pishuonlain [190]3 years ago

5 0

<h2>Answer:</h2>

The number of solutions will be one.

( i.e. the system of equation has a unique solution )

<h2>Step-by-step explanation:</h2>

We are given a system of equations such that:

One of the equation has a negative reciprocal slope as compared to the other.

This means that the two lines are perpendicular.

Hence, the two lines will definitely meet or intersect at just one point and at right angles.

Also we know that the solutions of a system of linear equations are the points where the two lines intersect.

Hence, we will have just one solution.

( since here the two lines will intersect at just one point )

Yanka [14]3 years ago

3 0

Answer:

1 solution

Step-by-step explanation:

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Step-by-step explanation:

In this case the side-splitter theorem states that :

$\frac{x}{12} = \frac{6}{9} \\\\Then\\\\x = \frac{12*6}{9} = \frac{72}{9} =8$

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3 years ago

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3 years ago

The measure of an angle is 164°. What is the measure of its supplementary angle?

storchak [24]

Answer:

Step-by-step explanation:

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2 years ago

In a right angle,the altitude to a 6ft hypotenuse.Find the length of the altitude and each leg.

Nuetrik [128]

Answer:a=3.6 and b=4.8

Step-by-step explanation:(a^2)+(b^2)=(c^2)

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4 years ago

Find the interquartile range of the following data set.

BigorU [14]

The interquartile range of 48, 26, 31, 50, 38, 40, 42, 34, 44, 36, is: D. 10.

<h3>What is the Interquartile Range of a Data Distribution?</h3>

The interquartile range of a data distribution is determined as: upper quartile (Q3) - lower quartile (Q1).

<h3>How to Find the Upper Quartile and Lower Quartile of a Data Distribution?</h3>

The upper quartile of a data distribution is the center of the second half of a data distribution while the lower quartile is the center of the first half of a data distribution.

Given the data, 48, 26, 31, 50, 38, 40, 42, 34, 44, 36:

Order the data set as, 26, 31, 34, 36, 38, 40, 42, 44, 48, 50

The first half of the data is: 26, 31, 34, 36, 38.

The center is 34.

Lower quartile (Q1) = 34.

The second half of the data is: 40, 42, 44, 48, 50. The center is 44.

Upper quartile (Q3) = 44.

Interquartile range = 44 - 34

Interquartile range = 10

Learn more about interquartile range on:

brainly.com/question/4102829

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2 years ago