The equation that shows the relationship between Amir's altitude relative to sea level (in meters) and time (in minutes) is y = -12x + 360
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent Amir's altitude relative to sea level after x minutes. He was at sea level after 30 minutes, hence:
0 = -12(30) + b
b = 360
y = -12x + 360
The equation that shows the relationship between Amir's altitude relative to sea level (in meters) and time (in minutes) is y = -12x + 360
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namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.
so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.
Answer: AB will be parallel to A'B'.
Step-by-step explanation: We know the definition of dilation about the centre. It is defined as the enlargement or shrinken of the original figure keeping the centre of dilation or the figure as fixed.
We are given ΔUVW and AB is perpendicular to UW. Now, if we dilate the triangle about the origin, then the triangle will either enlarge or shrink keeping the centre fixed.
Let us consider the enlarged triangle, ΔU'V'W' as shown in the attached figure. Also, line AB will move to the new position A'B'. We can clearly see that both the lines are parallel to each other.
Thus, the line segments AB and A'B' will be parallel too each other.
