The distance formula is based on the Pythagorean Theorem:
Distance = Square Root [(X2 - X1)^2<span> + (Y2 - Y1)^</span>2<span>]
</span>Distance = Square Root [(7 -1)^2 + (-7 -1)^2]
Distance = Square Root [ 6^2 + -8^2]Distance = Square Root [ 36 + 64 ]Distance = Square Root [100 ]Distance = 10
Source:http://www.1728.org/distance.htm
The slope of the first equation would be -5/2 because
2y=-5x+8
y=-5x/2+4
The y intercept of the 2nd equation is when x=0, so -7y=10
y=-10/7
The equation of the line would be y=-5x/2-10/7
Or in standard form....
5x/2+y=-10/7
5x+27=-20/7
Answer:
5/7
Step-by-step explanation:
We have two points ( 2,-2) and (9,3)
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 3- -2)/( 9-2)
= ( 3+2)/(9-3)
= 5/7
Answer:
4 batches:
cups
7 batches:
cups
Step-by-step explanation:
If he uses 2/3 cup of flour for <u>each</u> batch, then that is 2/3 four times, or 2/3 · 4.
× 
=
= 
If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to
.
× 
=
= 2
= 
Thus,
and
are the answers.
hope this helps!