Answer:
Step-by-step explanation:
A biologist is interested in the average wingspan of hawks in the United States.
and
A researcher is interested in the average birth weight of newborn babies born in the United States.
Write the given line in standard form.
2x - 5y = 0
5y = 2x
y = (2/5)x
The given line has a slope of 2/5, and y-intercept of 0.
A parallel line will have the same slope. Let its equation be
y = (2/5)x + b
Because it has a y-intercept of 6, therefore b = 6.
Answer:
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuseAnswer:
Step-by-step explanation:
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<h2>→ <u>Answer :-</u></h2>
![\sf{x \: = \: 2}](https://tex.z-dn.net/?f=%5Csf%7Bx%20%5C%3A%20%3D%20%5C%3A%202%7D)
<h2>→ <u>Explanation :-</u></h2>
<u />
<u />![\sf{Expand \: 5(2x \: + \: 1): \: 10x \: + \: 5}](https://tex.z-dn.net/?f=%5Csf%7BExpand%20%5C%3A%205%282x%20%5C%3A%20%2B%20%5C%3A%201%29%3A%20%5C%3A%2010x%20%5C%3A%20%2B%20%5C%3A%205%7D)
![\sf{10x \: + \: 5 \: = \: 6x \: + \: 13}](https://tex.z-dn.net/?f=%5Csf%7B10x%20%5C%3A%20%2B%20%5C%3A%205%20%5C%3A%20%3D%20%5C%3A%206x%20%5C%3A%20%2B%20%5C%3A%2013%7D)
![\sf{Subtract \: 5 \: from \: both \: sides:}](https://tex.z-dn.net/?f=%5Csf%7BSubtract%20%5C%3A%205%20%5C%3A%20from%20%5C%3A%20both%20%5C%3A%20sides%3A%7D)
![\sf{10x \: + \: 5 \: - \: 5 \: = \: 6x \: + \: 13 \: - \: 5}](https://tex.z-dn.net/?f=%5Csf%7B10x%20%5C%3A%20%2B%20%5C%3A%205%20%5C%3A%20-%20%5C%3A%205%20%5C%3A%20%3D%20%5C%3A%206x%20%5C%3A%20%2B%20%5C%3A%2013%20%5C%3A%20-%20%5C%3A%205%7D)
![\sf{Simplify:}](https://tex.z-dn.net/?f=%5Csf%7BSimplify%3A%7D)
![\sf{10x \: = \: 6x \: + \: 8}](https://tex.z-dn.net/?f=%5Csf%7B10x%20%5C%3A%20%3D%20%5C%3A%206x%20%5C%3A%20%2B%20%5C%3A%208%7D)
![\sf{Subtract \: 6x \: from \: both \: sides:}](https://tex.z-dn.net/?f=%5Csf%7BSubtract%20%5C%3A%206x%20%5C%3A%20from%20%5C%3A%20both%20%5C%3A%20sides%3A%7D)
![\sf{10x \: - \: 6x \: = \: 6x \: + \: 8 \: - \: 6x}](https://tex.z-dn.net/?f=%5Csf%7B10x%20%5C%3A%20-%20%5C%3A%206x%20%5C%3A%20%3D%20%5C%3A%206x%20%5C%3A%20%2B%20%5C%3A%208%20%5C%3A%20-%20%5C%3A%206x%7D)
![\sf{Simplify:}](https://tex.z-dn.net/?f=%5Csf%7BSimplify%3A%7D)
![\sf{4x \: = \: 8}](https://tex.z-dn.net/?f=%5Csf%7B4x%20%5C%3A%20%3D%20%5C%3A%208%7D)
![\sf{Divide \: both \: sides \: by \: 4:}](https://tex.z-dn.net/?f=%5Csf%7BDivide%20%5C%3A%20both%20%5C%3A%20sides%20%5C%3A%20by%20%5C%3A%204%3A%7D)
![\sf{\frac{4x}{4} = \frac{8}{4}](https://tex.z-dn.net/?f=%5Csf%7B%5Cfrac%7B4x%7D%7B4%7D%20%3D%20%5Cfrac%7B8%7D%7B4%7D)
![\sf{Simplify:}](https://tex.z-dn.net/?f=%5Csf%7BSimplify%3A%7D)
![\sf{x \: = \: 2}](https://tex.z-dn.net/?f=%5Csf%7Bx%20%5C%3A%20%3D%20%5C%3A%202%7D)
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<em />![\underline{Answer :}](https://tex.z-dn.net/?f=%5Cunderline%7BAnswer%20%3A%7D)
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