Given that the size of the buttons are:
1/8 inch, 3/8 inch and 1/4 inch
To compare the lengths we first convert the fractions into decimals for easy comparison.
To convert fractions into decimals we divide the numerator by the denominator:
1/8=0.125
3/8=0.375
1/3=0.25
from the above decimals we can see that 0.125 is the smallest and hence we conclude that the smallest button is 1/8 inches. The largest button is 3/8 inches.
Answer: the first answer
Step-by-step explanation: sorry i know it would’ve been better if i typed it but i’m running out of charge so it would be you first answer. this is because domain shows the minimum and maximum values x can be and range is the same but for y. the second and third functions aren’t in any format that i’ve learned before and it’s closest to interval notation which can be written as [min,max] with parentheses if it doesn’t touch those values. but yeah i hope this helped and i’m sorry if it is incorrect. good luck!
The general equation of the circle is:
(x -xo)^2 + (y - yo)^2 = r^2
Where xo,yo are the coordinates of the center and r is the radius of the circle.
Here (xo,yo) is (-16,30) and you can find the radius.
You can find the radius using the equation of the distance (Pythagoras) between the center (-16,30) and any point on the circunference. Here use (0,0)
r^2 = (-16 - 0)^2 + (30 - 0)^2 = 1156
Then, the equation is>
(x - (-16) )^2 + (y - 30)^2 = 1156
=> (x + 16)^2 + (y - 30)^2 = 1156. <----- answer
Answer:
31
Step-by-step explanation:
If you let X = the distance in miles from Dales's house, and understand rate = distance/ time, the rate going to mountains = x/7, and back from mountains is x/5. If dale was 18mph fast going home, the equation would be...
(coming home rate) = (going to mountain rate) + 18 which is
x/5 = x/7 + 18. Then solve for X.
Use the least common denominator = 35 so multiply everything by 35 and you get...
7x = 5x+630
simplify...
2x = 630, then
x = 315 .
Dale live 315 miles away from the mountains.
