The required distance between the points (−1, −4) and (−9, −8). is the square root of 80 units. Option D is correct.
Given that,
The distance between points (−1, −4) and (−9, −8) is to be determined.
<h3>What is Distance?</h3>
Distance is defined as the object traveling at a particular speed in time from one point to another.
here,
D = √[[x₂ - x₁]² + [y₂+ - y₁]²]
Substitute the value in the above equation,
D = √[[-9 + 1]² + [-8 + 4]²]
D = √[[-8]² + [ 4]²]
D = √[64 + 16]
D = √80
Thus, the required distance between the points (−1, −4) and (−9, −8). is the square root of 80 units. Option D is correct.
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Using Sarai's measurements, Line 3 must be parallel to Line 5 according to (A) Converse of Alternate Exterior Angles Theorem.
Alternate Exterior Angles theorem states that, "If two lines are parallel and they are intersected by same straight line then the alternative exterior angles formed by the figure are equal to each other."
Converse of the above theorem states that, "If two lines intersected by one transverse and formed alternate exterior angles, and if they are equal to each other then that two lines are parallel to each other."
Here in Sarai's measurement we can see that Line 3 and Line 5 are intersected by one straight line and the formed alternate exterior angles both are 65, which shows they are equal to each other.
Hence by Converse of Alternate Exterior Theorem we can say that Line 3 and Line 5 are parallel to each other.
So, Line 3 must be parallel to Line 5 according to Converse of Alternate Exterior Angles Theorem.
Hence Option (A) is correct.
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Answer:
Option D
Step-by-step explanation:
When we study about relationship between two or more variables we sometimes ignore factors which affect the relationship other than these two variables. These are also called extraneous variables or lurking variables. These affect the relationship very much.
Thus we find that out of 4 options given, Option I is incorrect because lurking variables need not be equal to almost 0.
Option B is incorrect because these need not have an infinite possible values.
Option C is a lurking variable need not be a response variable alone normally this would be an explanatory variable
Option D is right
A lurking variable is an explanatory variable that was not considered in a study, but that affects the value of the response variable in the study. In addition, lurking variables are typically related to explanatory variables in the study.
Y decreases as x increases.