P(5,-3) Q(2,4) find distance
1 answer:
Answer:
The distance between the coordinates of the two points is measured by the Distance formula
Step-by-step explanation:
The distance between two points P(x1,y1) and Q(x2,y2) is measured by Distance formula i.e Distance= (x2-x1)²+(y2-y1)²
So, the distance between the two points P(5,-3) and Q(2,4) can be measured by
Distance PQ = (2-5)²+(4-(-3))²
PQ = (-3)²+7²
PQ= 9+49
PQ=58
So,the distance of PQ is
You might be interested in
Step-by-step explanation:
An exponential function is represented by function,
Where a is the y intercept and b is the growth factor.
The graph passes through (0,1) which is our y intercept so a=1
Know let find b.
The graph pass through (1,3) so plug in 1 for x and 3 for y.
So our base function is
In order for this function to shrink, we must shift the y intercept such that it is less than 1 but greater than -1.
So the only option is
Because 1/2<1
Sine law to find angle R
![\displaystyle \frac{\sin R}{122}= \frac{\sin 64}{187.5} \\ \\ \sin R = \frac{122\sin 64}{187.5} \\ \\ R = \sin^{-1} \left[ \frac{122\sin 64}{187.5} \right] \\ \\ R \approx 35.7899447211](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5Csin%20R%7D%7B122%7D%3D%20%5Cfrac%7B%5Csin%2064%7D%7B187.5%7D%20%5C%5C%20%5C%5C%0A%5Csin%20R%20%3D%20%20%5Cfrac%7B122%5Csin%2064%7D%7B187.5%7D%20%5C%5C%20%5C%5C%0AR%20%3D%20%5Csin%5E%7B-1%7D%20%5Cleft%5B%20%5Cfrac%7B122%5Csin%2064%7D%7B187.5%7D%20%5Cright%5D%20%5C%5C%20%20%5C%5C%0AR%20%5Capprox%2035.7899447211)
All angles in triangle add to 180 so we can find angle P
P = 180 - R - Q
P = 180 - 35.7899447211 - 64
P = 80.2100552789
sine law with angle P to find length of RQ
or use cosine law
either way the answer is 205.57 feet
All angles in triangle add to 180 so we can find angle P
P = 180 - R - Q
P = 180 - 35.7899447211 - 64
P = 80.2100552789
sine law with angle P to find length of RQ
or use cosine law
either way the answer is 205.57 feet