Hey there! I'm happy to help you!
To solve this, we can set up a proportion below! I will put the data in table, fraction, and ratio form so you can see different ways to visualize it.
HEIGHT LENGTH OF SHADOW
DIXON ? 18
ARIADNE 5 15
or
or
5:15= h:18
As we can see, we see that Ariadne's length of shadow is three times as large as her height. Therefore, that means that Dixon's height will be 1/3 of the length of his shadow!
18/3= 6
We can also use the cross multiplying method with our proportion and then solve for h!
h=5*18/15
h=90/15
h=6
Therefore, Dixon is six feet tall.
I hope that this helps! Have a great day!
Answer:
3) y = 3x
Step-by-step explanation:
a line equation is typically written as
y = ax + b
a is the slope, the inclination of the line. it is defined as ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.
so, e.g. going from (0,0) to (4,12) means
x changes by +4 (from 0 to 4)
y changes by +12 (from 0 to 12)
so, the slope is +12/+4 = 3
and the line equation starts like this
y = 3x + b
now, b is the y-intercept : the y value, where the line intercepts (crosses) the y-axis. in other words, the y value where x = 0.
and we have that right away, as the line goes through (0,0). that IS the y-intercept point. the y value there is 0.
therefore, b=0.
and so the full line equation is
y = 3x
Answer:
1) B. $9000
2) A. (4,5)
Step-by-step explanation:
I graphed this line below.
Start with an open dot on 7.
The reason we use an open dot is because x
does not equal 7, it is only greater than 7.
So from your open dot, draw an arrow to the right
to represent all numbers greater than 7.
Finally, state your answer in set notation if possible.
It is read as {x: x > 7}.
Answer: In an ordinary year, if you were to count all the days in a calendar from January to December, you'd count 365 days. But approximately every four years, February has 29 days instead of 28. So, there are 366 days in the year. This is called a leap year.
Step-by-step explanation:
