Answer:

Step-by-step explanation:
Arranging the given equation in slope-intercept form ( y = mx + b ):

<em>We know that the perpendicular line would have a slope (m) that is </em><em>negative reciprocal </em><em>of this (
). Thus we can write the perpendicular line's equation as
. </em>
<em />
<em>Now putting x = 4 and y = -6 into the equation, we can solve for b:</em>
<em>
</em>
<em />
Thus, the equation of the perpendicular line is 
The answer is 1 inch equals 8
Answer:
(-1, 3)
Step-by-step explanation:
If you graph both lines, the point where they intersect is (-1,3)
Probability of winning a grand prize is 1/10
Probability of winning a basic prize is 11/20
What is the probability of two independent events?
If A and B are two independent events, then P(A and B) = P(A) * P(B).
If Events A and B are independent, the probability that either Event A or Event B occurs is: P(A or B) = P(A) + P(B) - P(A and B).
Solution:
P(A) = no. of A / total possibility
= 4/10
P(B) = no. of 1's/total possibility
= 3/12
= 1/4
Now,
To win a grand prize you need an "A" and "1" .
∴ P(A and B) = P(A) × P(B)
= 4/10 × 1/4
P(A and B) = 1/10
Now ,
To win a basic prize you need to spin an "A" or a "1"
∴ P(A or B) = P(A) + P(B) - P(A and B)
= 4/10 + 1/4 - 1/10
= 3/10 + 1/4
∴ P(A or B)= 11/20
To learn more about probability of independent events click on the link below:
brainly.com/question/16157262
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(-3, -3) and (2, 7).
The solutions to a graphed system of equations are where the two graphs cross each other. So in this case the two equations cross at (-3, -3) and (2, 7), and those points are the solutions to the system of equations.