1/2 (Base x height) = area
1/2 (4*x)=10
2x=10
X=5
The height is 5 units
B. To see if it’s a function, it has to pass the vertical line test. That means draw a vertical line (going up and down) through any point on the graph and it can only go through one point. If it goes through more than 1, it’s not a function. Like in graph A, if you draw a vertical line at x=-2, it will go through two points, same at x=2. For graph b, no matter where you move a vertical line, it only passes through one point at a time, so it passes the vertical line test.
<span>1st train DATA:
rate = 50 mph ; time = x hrs ; distance = rt = 50x miles
2nd train DATA:
rate = 55 mph ; time = (x-(1/2)) hrs ; distance = rt = 55(x-(1/2)) miles
Equation:
distance = distance
50x = 55(x-(1/2)
50x = 55x - (55/2)
-5x = -55/2
x = 11/2
x = 5 1/2 hrs (time at which the 2nd train overtakes the 1st train)
Hope this helps!</span>
Answer:
The probability of getting a factor of 12 on a fair dice is 5/6 or approximately 83%.
Step-by-step explanation:
Probability is expressed as a fraction where the denominator is the total number of outcomes and the numerator is the number of desired outcomes. In this case, the desired outcome is any factor of 12. The factors of 12 are the numbers we multiply together to get that number: 1, 2, 3, 4, 6 and 12. Since a fair dice has the total outcomes of either 1, 2, 3, 4, 5 or 6, then the total outcomes is 6 and the possibility that we could roll the desired outcome (factor of 12) is 5, the probability is 5 out of 6 or 5/6, which when divided is approximately 83%.
The width of the walkaway be 4 feet.
<h3>What is Discriminant Formula?</h3>
The discriminant formula is used to determine the nature of the roots of a quadratic equation. The discriminant of a quadratic equation
is D =
If D > 0, then the equation has two real distinct roots.
If D = 0, then the equation has only one real root.
Given that: 
also, area of walkaway = 464 square feet.
So, 
Using Discriminant method,
a=4, b=100, c=-464
w= 
w= 
So, 
Hence the width of the walkaway be 4 feet.
Learn more about discriminant formula here:
brainly.com/question/2615966
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