EF is a median of trapezoid ABCD. The length of AB is 12, and the length of CD is 18. The length of BF is 4. What is the length
of FC?
1 answer:
Answer:
Step-by-step explanation:
The diagram representing the trapezoid is shown in the attached photo. The median EF is a line segment that is half way between the 2 bases. The length of the median is the average of the two bases. Therefore,
EF = (12 + 18)/2 = 15
Two similar trapezoids are formed. They are ABFE and EFCD
By comparing both trapezoids, it means that
4/15 = FC/18
Cross multiplying, it becomes
4 × 18 = 15FC
72 = 15FC
FC = 72/15
FC = 4.8
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y-intercept:
x-intercept:
Answer:
a.
b. The x - intercept represents the time at which the battery life drops to 0 %.
c. The y - intercept represents the initial battery life.
Step-by-step explanation:
a. Construct an equation using f(t) and t that represents the relationship between
"f(t)" the battery capacity of a typical smartphone after "t" months and "L" the
number of months the smartphone has been in normal use.
Let the initial battery life be I.
After one month, it decreases by 1%. So, our new value, I' = initial value - decrease = I - 1%I = 99%I.
After two months, it decreases by 1% to our new value I". So, our new value, I" = initial value - decrease = I' - 1%I' = 99%I' = 99%(99%)I = (99%)²I
After three months, it decreases by 1% to our new value I'". So, our new value, I"' = initial value - decrease = I" - 1%I" = 99%I" = 99%(99%)²I = (99%)³I
We see a pattern here.
After t months, f(t)
b. What does the horizontal intercept represent in context? (The x-intercept)
The x - intercept represents the time at which the battery life drops to 0 %.
c. What does the vertical intercept represent in context? (The y-intercept)
The y - intercept represents the initial battery life.