Answer: The required co-ordinates of point T are (13, -6).
Step-by-step explanation: given that S is the midpoint of the line segment RT, where the co-ordinates of point R are (-9, 4) and that of S are (2, -1).
We are to find the co-ordinates of point T.
We know that
the co-ordinates of the mid-point of a line segment with endpoints (a, b) and (c, d) are given by
![\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7Ba%2Bc%7D%7B2%7D%2C%5Cdfrac%7Bb%2Bd%7D%7B2%7D%5Cright%29.)
Let (h, k) be the co-ordinates of point T. Then, according to the given information, we have
![\left(\dfrac{-9+h}{2},\dfrac{4+k}{2}\right)=(2,-1)\\\\\\\Rightarrow \dfrac{-9+h}{2}=2\\\\\Rightarrow -9+h=4\\\\\Rightarrow h=4+9\\\\\Rightarrow h=13](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B-9%2Bh%7D%7B2%7D%2C%5Cdfrac%7B4%2Bk%7D%7B2%7D%5Cright%29%3D%282%2C-1%29%5C%5C%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B-9%2Bh%7D%7B2%7D%3D2%5C%5C%5C%5C%5CRightarrow%20-9%2Bh%3D4%5C%5C%5C%5C%5CRightarrow%20h%3D4%2B9%5C%5C%5C%5C%5CRightarrow%20h%3D13)
and
![\dfrac{4+k}{2}=-1\\\\\Rightarrow 4+k=-2\\\\\Rightarrow k=-2-4\\\\\Rightarrow k=-6.](https://tex.z-dn.net/?f=%5Cdfrac%7B4%2Bk%7D%7B2%7D%3D-1%5C%5C%5C%5C%5CRightarrow%204%2Bk%3D-2%5C%5C%5C%5C%5CRightarrow%20k%3D-2-4%5C%5C%5C%5C%5CRightarrow%20k%3D-6.)
Thus, the required co-ordinates of point T are (13, -6).
Rewrite 39 as (40-1) and then multiply this result by 5:
200-5 = 195 (answer)
Answer:
<h2>The flat pay $25 represents the intercept</h2>
Step-by-step explanation:
To answer this question we need to first understand and compare it with the equation of straight line.
i.e
which is the equation of line
where m= slope
y= dependent variable
x= independent variable
c= intercept
Given
![y= 25+5h](https://tex.z-dn.net/?f=y%3D%2025%2B5h)
comparing both expression we can see that
25 corresponds to c which is the intercept
Answer:
tan x = opp / adj = -3/4
Step-by-step explanation:
If sin x = -3/5, then we have the following info as a starting point:
opposite side = -3 (implying that the angle is in either QIII or QIV), and
hypotenuse = 5.
Using the Pythagorean Theorem, we find that x² + (-3)² = 5², where x is the length of the adjacent side. Solving for x², we get x² = 25-9 = 16, so that the adj. side, x, is either +4 or -4.
If cos x > 0, then x must be in either QI or QIV.
If both conditions are satisfied (sin x = -3/5 and cos x > 0), then the angle x must be in QIV.
Then tan x = opp / adj = -3/4.
Answer:
0.87
Step-by-step explanation:
y = ab^x
b is the rate of decay if it is between 0 and 1. Here, b = 0.87.
Answer: 0.87