<span>First we have to determine the slope of each lines by transforming to the slope-intercept form:
y=(3x-7/)4; m2= ¾y=(12x+6)/5, m3 = 12/5
The formula to be used in the proceeding steps is a=tan^-1(m1-m2)/1+m1m2=tan^-1(m1-m2)/1+m1m2
substituting, a=tan^-1(m1-3/4)/1+3m1/4=tan^-1(m1-12/5)1+12m1/5) =>(4m1-3)/(4+3m1)=(5m1-12)/(5+12m1)m1 = -1applying this slope
y -y1 = m(x-x1)
when y1 = 5 and x1 = 4 then,
y - 5 = -1(x-4)
y = -x +4+ 5 ; y = -x +9</span>
C) The probability that you pick at least one purple marble is 98%.
<h3><u>Probability</u></h3>
The question is incomplete, since the number of marbles of each color in the bag is missing: 3 blue, 5 green, and 2 purple marbles.
Now, to answer the questions, the following calculations must be done:
- C) 100 - (2/9x9) = X
- 100 - 2 = X
- 98 = X
Learn more about probability in brainly.com/question/27656131
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<h3>
is the simplified expression</h3>
<em><u>Solution:</u></em>
Given that,
We have to simplify
We can simplify the above expression by combining the like terms
Like terms are terms that has same variable with same exponent and same or different coefficient
From given,
Group the like terms
Thus the given expression is simplified
1/10 of an ounce is the answer
Area of a triangle is 0.5(base x height)
Base = 320mi
Height= 270+210= 480mi
0.5(480 x 320) = 76,800 miles squared
