Answer:
The coordinate of point B is (4, 8.25)
Step-by-step explanation:
Here, we want to find the coordinates of point B
To do this, we are to use the section internal division formula as follows;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
In this case;
(x1,y1) = (2,6)
(x2,y2) = (5,9)
(m,n) = (3,1)
Substituting these values into the section formula, we have;
(x,y) = (1(1) + 3(5))/(1 + 3) , (1(6) + 3(9))/3 + 1)
(x,y) = (16/4, 33/4)
(x,y) = (4,8.25)
Answer:
Mr. Chang will have 15714.90 dollars.
Step-by-step explanation:
p = 650
r = 
Number of periods or n = 
Future value formula is : ![p[\frac{(1+r)^{n}-1}{r} ]](https://tex.z-dn.net/?f=p%5B%5Cfrac%7B%281%2Br%29%5E%7Bn%7D-1%7D%7Br%7D%20%5D)
Putting the values in formula we get;
![650[\frac{(1+0.0195)^{20}-1}{0.0195} ]](https://tex.z-dn.net/?f=650%5B%5Cfrac%7B%281%2B0.0195%29%5E%7B20%7D-1%7D%7B0.0195%7D%20%5D)
= $15714.90
Hence, Mr. Chang will have 15714.90 dollars.
False.
Rhombuses may be rectangles<span>, as long as the shape is a square. </span><span>Every square is a </span>rhombus <span>if all its angles equal 90 degrees.</span>
Answer:
The original Slope is y=-1/3x-2
The perpendicular slope would be y=3x+b
Step-by-step explanation:
Original Slope:
You already have the y-interecpet, (0,-2), and you know two points (0,-2) and (-6,0), so you can find the slope with (y1-y2)/(x1-x2) so in this case, it would be (0-(-2))/(-6-0)= -1/3 and you can find y=1/3x-2.
Perpendicular Slope:
The slope of any perpendicular line would be the reciprocal of the original. So the reciprocal of -1/3 is 3. The b can be any real number because no matter the y-intercept the slope would still be perpendicular
