Answer: (1,16)
Step-by-step explanation:
The coordinates of a midpoint are given by the midpoint formula:
where
is the ordered pair for the midpoint,
is the ordered pair for the first endpoint, and
is the ordered pair for the second endpoint.
In this problem, the midpoint is given as ![(x_m,y_m) = (-3,7)](https://tex.z-dn.net/?f=%28x_m%2Cy_m%29%20%3D%20%28-3%2C7%29)
The known endpoint of XY is X = ![(x_1, y_1) = (-7, -2)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%20%3D%20%28-7%2C%20-2%29)
Y remains unknown so Y =
.
If the midpoint is given as (-3,7) we can compare the x value and the y value individually.
-3 = ![\frac{-7+x_2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-7%2Bx_2%7D%7B2%7D)
Solving for
, we get
= 1.
7 = ![\frac{-2+y_2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%2By_2%7D%7B2%7D)
Solving for
, we get
= 16.
Thus, the coordinates of Y are (1,16)
Answer:
Proved
Step-by-step explanation:
Given
![(2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=%282%20%2A%2010%5E2%29%20%2A%20%283%20%2A%2010%5E5%29%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
Required
Prove
On the right hand side, we have:
![2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=2%20%2A%2010%5E2%20%2A%203%20%2A%2010%5E5%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
Rewrite:
![2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=2%20%2A%203%2A%2010%5E2%20%20%2A%2010%5E5%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
![6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=6%2A%2010%5E2%20%20%2A%2010%5E5%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
Apply law of indices
![6* 10^{2+5} = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=6%2A%2010%5E%7B2%2B5%7D%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
![6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=6%2A%2010%5E7%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
Express 6 as 3.5 + 2.5
![(3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=%283.5%20%2B%202.5%29%2A%2010%5E7%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
Open bracket
![3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=3.5%20%2A10%5E7%2B%202.5%2A10%5E7%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
Proved
Xsquared+3x-4=6
xsquared+3x-10=0
(x+5)(x-2)=0
x=2,-5
There are 5 week days which is 120hours.15%of 120 hours is
120*.15=18 hours per week
Answer: 102 foot / feet tall
Step-by-step explanation:
First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1
Second, multiply . . . what is 1.2 x 85 ? 102
( sorry if this is wrong - I forgot how to do the second part for a sec )