explanation:
The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0. The y-coordinate moves from 4 to -5, or down by 9, so the new y-coordinate must be -5-9 = -14.
An alternate solution would be to substitute (4,4) for (x1,y1) and (2,-5) for (x,y) into the midpoint formula:
x=(x1+x2)/2
y=(y1+y2)/2
Solving each equation for (x2,y2) yields the solution (0,-14).
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Answer: 21,400 mg
Step-by-step explanation: Multiply the mass value by 1000
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Answer:
Let's begin by writing the mathematical equations given by the sentences.
Let X = smaller number
Let Y = larger number
The first sentence tells us
X + Y = 38
The second sentence tells us
X = Y/3 + 6
Since you weren't given a specific method to use, you can use either the substitution method or the elimination(addition) method, whichever works best for you.
Since the 2nd equation has the X isolated, I'm going to isolate the X in the first equation,
X = 38 - Y
Since both equations are equal to X, I can set them equal to one another and solve for Y.
Y/3 + 6 = 38 - Y
Y + 18 = 114 - 3Y
4Y = 96
Y = 24
Then use either of the two original equations to solve for X
X + Y = 38
X + 24 = 38
X = 14
Step-by-step explanation:
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In the research, it should be noted that this is a Proportion, because worry or not worry is categorical
<h3>What is a proportion?</h3>
A population proportion is the percentage of the population that possesses a particular trait.
For illustration, suppose there are 1,000 people in the population and 237 of them have blue eyes. There are 237 blue eyed people out of every 1,000 people, or 237/1000.
Therefore, it should be noted that this is a Proportion, because worry or not worry is categorical.
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A poll shows that 64% of Americans personally worry a great deal about federal spending and the budget deficit. State whether the parameter of interest is a mean or a proportion.