The probability of selecting a number greater than 8 will be 
.
<h3>What is probability?</h3>
Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The number of outcomes = { 1,2,3,4,5,6,7,8,9 } = Counts = 9
Favourable outcomes = { 9 } = counts = 1
The probability will be given as:-
Therefore the probability of selecting a number greater than 8 will be .
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Answer:
an = -3·2^(n-1)
Step-by-step explanation:
The first term is a1 = -3.
The common ratio is r = -6/-3 = 2.
The given formula tells you the formula for this sequence is ...
an = -3·2^(n-1)
Answer:
2x^2*(2x^3+8x^2+2x) or
4x^5+16x^4+4x^3
Step-by-step explanation:
A=[2x^3-x+(8x^2+3x)]*4x^2/2=2x^2*(2x^3+8x^2+2x)
or A=4x^5+16x^4+4x^3
Slope-intercept form:
y=mx+b
m=slope
b=y-intercept
Data of the first line:
m=-5
b=y-intercept=3 (y-intercept=it is the value of "y" when x=0)
y=-5x+3
A line perpendicular to the line y=mx+b will have the following slope:
m`=-1/m
Therefore: the line perpendicular to the line y=-5x+3 will have the following slope:
m´=-1/(-5)=1/5
Point-slope form of a line: we need a point (x₀,y₀) and the slope (m):
y-y₀=m(x-x₀)
We know, the slope (m=1/5) and we have a point (3,2) therefore:
y-y₀=m(x-x₀)
y-2=1/5(x-3) (point-slope form)
y-2=(1/5)x-3/5
y=(1/5)x-3/5+2
y=(1/5)x+7/5 (slope-intercept form)
Answer: the line perpendicular to the first line will be: y=(1/5)x+7/5
You find the distance of all sides to both triangle then match up the sides and see if they are similar
