Answer: x=1
Step-by-step explanation:
4 (-x+4)=12
(-4x+16)=12
-4x+16-16 =12-16
-4x/-4 =-4/-4
x=1
I don't know if this is right, please let me know if it is wrong ο(=•ω<=)ρ⌒☆
Answer:
Step-by-step explanation:
Probability of of winning next shot if he scores= 0.5
Probability of missing next shot if he misses = 1/6
a) Probability of scoring 2 shots later if he missed = (1-1/6)^2
=(5/6)^2
=25/36
b) % of successful shots= (1/2+5/6×(1/100))%
=4/3×1/100
=0.013%
Answer:
![y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2050%7Dx%2B%5Cfrac%7B%5Cdisplaystyle%2013%7D%7B%5Cdisplaystyle%2010%7D)
Step-by-step explanation:
Hi there!
Slope-intercept form:
where
is the slope and
is the y-intercept (the value of y when x is 0)
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two given points are
and ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
Plug in the given points (15,2.2) and (5,1.6):
![m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B%5Cdisplaystyle%201.6-2.2%7D%7B%5Cdisplaystyle%205-15%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B%5Cdisplaystyle%20-0.6%7D%7B%5Cdisplaystyle%20-10%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B%5Cdisplaystyle%200.6%7D%7B%5Cdisplaystyle%2010%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B%5Cdisplaystyle%200.3%7D%7B%5Cdisplaystyle%205%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2050%7D)
Therefore, the slope of the line is
. Plug this into
:
![y=\frac{\displaystyle 3}{\displaystyle 50}x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2050%7Dx%2Bb)
<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
![y=\frac{\displaystyle 3}{\displaystyle 50}x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2050%7Dx%2Bb)
Plug in a given point and solve for b:
![1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b](https://tex.z-dn.net/?f=1.6%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2050%7D%285%29%2Bb%5C%5C%5C%5C1.6%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2010%7D%2Bb%5C%5C%5C%5C1.6-%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2010%7D%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2010%7D%2Bb-%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2010%7D%5C%5C%5C%5C%5Cfrac%7B%5Cdisplaystyle%2013%7D%7B%5Cdisplaystyle%2010%7D%3Db)
Therefore, the y-intercept is
. Plug this back into
:
![y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Cdisplaystyle%203%7D%7B%5Cdisplaystyle%2050%7Dx%2B%5Cfrac%7B%5Cdisplaystyle%2013%7D%7B%5Cdisplaystyle%2010%7D)
I hope this helps!
Answer:
.
Step-by-step explanation:
As we know ,
The slope of a line that passes through
and
is given by :
![\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
The slope of a line that passes through (1 , 7K), and (-3,5K) =
![\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B5K-7K%7D%7B-3-1%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-2K%7D%7B-4%7D%5C%5C%5C%5C%3D%5Cdfrac%7BK%7D%7B2%7D)
Hence, the slope of the given line is
.