Step-by-step explanation:
m = y2 - y1/ x2 - x1
= 16 - 12 / 16 - 4
= 4/12 = 1/3
formula = y - y1 = m2 ( x - x1)
y - 12 = 1/3 ( x - 4)
y -12 = 1x/3 -4/3
y = 1x / 3 -4/3+12
= 1x/3 + 32/ 3
y = 1x/3 + 32/3
we have that
Part c)
the probability is equal to
P=0.14+0.27+0.58
<h2>P=0.99</h2>
because is the sum of
x=1, x=2 and x=3
Part D
the probability is
P=0.01+0.14+0.27
<h2>P=0.42</h2>
because is less than or equal 2
Hola User______
Here is Your Answer...!!!!
_________________
thus the given equation is a linear equation in two variables ...
thus ploting a table we get as ...
y = -5x + 3
there fore
1) at y=0 , x = 3/5 .... 0 = -5x +3
= -5x = -3 ..thus X = 3/5
2) at x=0 , y= 3 ...
y = -5 (0) + 3 = 3
3) at X =1 , y = -2
4) at y=1 , x = 2/5
Answer:
1/4
Step-by-step explanation:
3/12
Simplify. Both numbers can be divided by 3.
3/12 = 1/4
well, we'll first off put the point AC in component form by simply doing a subtraction of C - A, multiply that by the fraction 2/3, and that result will get added to point A, to get point B.
![\bf \textit{internal division of a segment using a fraction}\\\\ A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{-4})~\hfill \frac{2}{3}\textit{ of the way from }A\to C \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_2}{4}-\stackrel{x_1}{(-2)}, \stackrel{y_2}{-4}-\stackrel{y_1}{5})\implies (4+2,-9) \stackrel{\textit{component form of segment AC}}{\qquad \implies \qquad (6,-9)} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Binternal%20division%20of%20a%20segment%20using%20a%20fraction%7D%5C%5C%5C%5C%20A%28%5Cstackrel%7Bx_1%7D%7B-2%7D~%2C~%5Cstackrel%7By_1%7D%7B5%7D%29%5Cqquad%20C%28%5Cstackrel%7Bx_2%7D%7B4%7D~%2C~%5Cstackrel%7By_2%7D%7B-4%7D%29~%5Chfill%20%5Cfrac%7B2%7D%7B3%7D%5Ctextit%7B%20of%20the%20way%20from%20%7DA%5Cto%20C%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%28%5Cstackrel%7Bx_2%7D%7B4%7D-%5Cstackrel%7Bx_1%7D%7B%28-2%29%7D%2C%20%5Cstackrel%7By_2%7D%7B-4%7D-%5Cstackrel%7By_1%7D%7B5%7D%29%5Cimplies%20%284%2B2%2C-9%29%20%5Cstackrel%7B%5Ctextit%7Bcomponent%20form%20of%20segment%20AC%7D%7D%7B%5Cqquad%20%5Cimplies%20%5Cqquad%20%286%2C-9%29%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \stackrel{~\hfill \textit{coordinates to be added to point A}} {\cfrac{2}{3}(6,-9)\implies \cfrac{2}{3}(6)~,~\cfrac{2}{3}(-9)\qquad \implies \qquad \left(4,-6\right)} \\\\\\ \stackrel{\textit{additions to point A}} {\stackrel{\textit{point A}}{(-2,5)}+\left( 4,-6\right)}\implies \left( -2+4~~,~~5-6\right) = B\implies (2~,~-1)=B](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B~%5Chfill%20%5Ctextit%7Bcoordinates%20to%20be%20added%20to%20point%20A%7D%7D%20%7B%5Ccfrac%7B2%7D%7B3%7D%286%2C-9%29%5Cimplies%20%5Ccfrac%7B2%7D%7B3%7D%286%29~%2C~%5Ccfrac%7B2%7D%7B3%7D%28-9%29%5Cqquad%20%5Cimplies%20%5Cqquad%20%5Cleft%284%2C-6%5Cright%29%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Badditions%20to%20point%20A%7D%7D%20%7B%5Cstackrel%7B%5Ctextit%7Bpoint%20A%7D%7D%7B%28-2%2C5%29%7D%2B%5Cleft%28%204%2C-6%5Cright%29%7D%5Cimplies%20%5Cleft%28%20-2%2B4~~%2C~~5-6%5Cright%29%20%3D%20B%5Cimplies%20%282~%2C~-1%29%3DB)