Answer:
17.03 units
Step-by-step explanation:
The distance formula for the distance between two points (x1, y1) and (x2, y2) is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
For the given points, the distance is ...
d = √((8-(-3))^2 +(-6-7)^2) = √(11^2 +(-13)^2)
d = √(121 +169) = √290
d ≈ 17.03
The distance between the points is about 17.03 units.
Answer:
35.5
Step-by-step explanation:
1 5/2 + (8*4)= 35.5
(8*4)= 32
32+1 5/2
1 5/2=3 1/2
32+3 1/3
35.5 or 35 1/2
Answer:

Step-by-step explanation:
The <em>Richter scale</em>, the standard measure of earthquake intensity, is a <em>logarithmic scale</em>, specifically logarithmic <em>base 10</em>. This means that every time you go up 1 on the Richter scale, you get an earthquake that's 10 times as powerful (a 2.0 is 10x stronger than a 1.0, a 3.0 is 10x stronger than a 2.0, etc.).
How do we compare two earthquake's intensities then? As a measure of raw intensity, let's call a "standard earthquake" S. What's the magnitude of this earthquake? The magnitude is whatever <em>power of 10</em> S corresponds to; to write this relationship as an equation, we can say
, which we can rewrite in logarithmic form as
.
We're looking for the magnitude M of an earthquake 100 times larger than S, so reflect this, we can simply replace S with 100S, giving us the equation
.
To check to see if this equation is right, let's say we have an earthquake measuring a 3.0 on the Richter scale, so
. Since taking 100 times some intensity is the same as taking 10 times that intensity twice, we'd expect that more intense earthquake to be a 5.0. We can expand the equation
using the product rule for logarithms to get the equation

And using the fact that
and our assumption that
, we see that
as we wanted.
Answer:
The diagonals bisect each other
Step-by-step explanation:
2s = 10 s+5 = 10 FJ = JH
t+12 = 18 3t = 18 EJ = JG
The answer for the first one is (-2,-3) because if you put a point there, then it would make a right triangle and, if ou take the x term from the higher point and the y term from the lower point and put them togeteher, then you get (-2,-3)
if you mean directly proportional where x/y=k where is x goes up, y goes up as well so try them out
first one: x/y=k 1/11=k does 3/23=k as well? no so this is not proportional
second one: x/y=k 1/2=k does 3/-10=k as well? no, so this is not proportional
third one: x/y=k 1/-6=k does 3/-22=k asl well? no, so this is not proportional
fourth one: x/y=k 1/-8=k does 3/-24=k as well? yes, so this is the proportiona one
subsitute
if x=1 and y=7
try the first
7=1+7
false so the first one doesn't work
try the second
7=1-7
false, so the second one doesnt' work
third
7=1/7
false so the third one doesn't work either
try the fourth
7=(7)(1)
7=7
true so this is the naswer
7=7 tue