we name bases k , k+6. so
area: 96= (k + k+6).8/2
=> 2k+6= 24 => k=9
<u>Answer</u>
A. c = 4
<u>Explanation</u>
In algebra, what you do to one side of the equation, the same has to be done on the other side.
32c = 128
divide both sides by 32
32c = 128.
32c ÷ 32 = 128 ÷ 32
c = 128/32
= 4
Answer:
slope is -2
Step-by-step explanation:
1. go to geogebra.org/classic (this is a graphing calculator)
2. enter your two points by using the second button on the top of the screen
3. connect a line from one point to the other using the 3rd button on the top of the screen
4. click on the line and it shall tell you the equation, including the slope :O))))
the slope is -2 and the equation is y = -2x + 18
Answer:
0.1019
Step-by-step explanation:
Probability, p=12%=0.12
Sample size, n=130 students
Those writing with left=14 students
Using the formula for binomial distribution
P(X≤x)=![\left[\begin{array}{}n\\x\end{array}\right]p^{x}(1-p)^{n-x}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7B%7Dn%5C%5Cx%5Cend%7Barray%7D%5Cright%5Dp%5E%7Bx%7D%281-p%29%5E%7Bn-x%7D)
Substituting 0.12 for p, 130 for n, 14 for x we obtain
P(X≤x)=![\left[\begin{array}{}130\\14\end{array}\right]0.12^{14}(1-0.12)^{130-14}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7B%7D130%5C%5C14%5Cend%7Barray%7D%5Cright%5D0.12%5E%7B14%7D%281-0.12%29%5E%7B130-14%7D)
P(X≤x)=
P(X≤x)=0.1019
Y=mx+b where m=slope=(dy/dx) and b=y-intercept (value of y when x=0)
You have two points...(1,-2),(3,2) so
m=(y2-y1)/(x2-x1)=(2--2)/(3-1)
m=4/2=2 now that you have the slope...
y=2x+b, you can use either point to solve for the y-intercept, I'll use (3,2)
2=2(3)+b
2=6+b
b=-4 so the line is:
y=2x-4