<h3>
Answer: 9</h3>
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Work Shown:
a = unknown = leg #1
b = 12 = leg #2
c = 15 = hypotenuse
Plug those values into the pythagorean theorem and solve for 'a'
a^2 + b^2 = c^2
a^2 + (12)^2 = (15)^2 .... substitution
a^2 + 144 = 225
a^2 = 225 - 144 ... subtracting 144 from both sides
a^2 = 81
a = sqrt(81) .... applying square root to both sides
a = 9
The probability notation for the probability of choosing a green marble is P(G)
<h3>What is probability?</h3>
This is simply defined as the extent to which something is likely to occur.
The probability that an event will occur is given as the ratio of the number of favorable outcomes to the total number of outcomes.
<h3>How to determine the probability notation</h3>
Probability notation is a symbol used in indicating the probability of an occurring event. Since our focus is on the probability of obtaining a green marble, then the probability notation will be P(G). This is illustrated below:
- Event of green marble = nG
- Total event = nT
- Probability of green marble = P(G)
P(G) = nG / nT
Learn more about probability:
brainly.com/question/22159331
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You know the product will be greater than the two factors because multiplication always makes the numbers greater. So 2x12 is 24 and that is greater than the two factors
We need to find the linear function represents the line given by the point-slope equation.
Given options:
y + 7 = –(x + 6).
f(x) = –2/3x – 11.
f(x) = –2/3x – 1.
f(x) = –2/3x + 3.
f(x) = –2/3x + 13.
Point -slope form of the linear equation is in the form y-y1 = m(x - x1).
Where (x1, y1) is given point and m is the slope.
In the given options we have first option y + 7 = –(x + 6).
And it could be written as y-(-7) = -1(x-(-6))
We can see point (x1,y1) = (-7,-6) and slope m= -1.
<h3>Therefore, first option y + 7 = –(x + 6) is correct option.</h3>
I would say b hope this help ☺
