Label 1/4 on the number line. Label 1/2 on the number line .
1 answer:
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The equation of the perpendicular bisector of BC with B(-2, 1), and C(4, 2) is y = 7.6 - 6•x
<h3>Which method can be used to find the equation of the perpendicular bisector?</h3>The slope, <em>m</em>, of the line BC is calculated as follows;
- m = (2 - 1)/(4 - (-2)) = 1/6
The slope of the perpendicular line to BC is -1/(1/6) = -6
The midpoint of the line BC is found as follows;
The perpendicular bisector is the perpendicular line constructed from the midpoint of BC.
The equation of the perpendicular bisector in point and slope form is therefore;
(y - 1.5) = -6•(x - 1)
y - 1.6 = -6•x + 6
y = -6•x + 6 + 1.6 = 7.6 - 6•x
Which gives;
- y = 7.6 - 6•x
Learn more about equations of perpendicular lines here:
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Answer:
4/5 or 0.8
Step-by-step explanation:
1/3x = 5/12
<em>cross</em><em> </em><em>multiply</em>
(12×1) = (5×3x)
<em>divide</em><em> </em><em>through</em> <em>by</em> <em>1</em><em>5</em>
x = 12/15
x = 4/5 <em>o</em><em>r</em><em> </em>0.8
Answer:
a) 0.0125
b) 0.4579
Step-by-step explanation:
For this question use tree diagram method to solve the question or by simply listing down the probabilities as I have done in the attached picture. Firstly, we need to convert all percentages in to decimal and those decimals will represent probability of each event. For example if we consider probability of quality score A it can be found by diving 77 with 100:
77/100 = 0.77
Similarly all probabilities can be found by simply dividing percentages with 100.
Part (b) is a conditional probability question. Given that a circuit failed is the condition. So we need to use conditional probability method to solve it.
