Answer:
The equation of the line would be y = 3x - 10
Step-by-step explanation:
To find the equation we first need to note that parallel lines have the same slope. So since the original equation has a slope of 3, the new one will as well. Now we can use that slope and the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y + 4 = 3(x - 2)
y + 4 = 3x - 6
y = 3x - 10
<h3>
Answer: 1/2 (choice A)</h3>
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Explanation:
The two equations given to us are
Divide the second equation over the first equation and that would lead to b = 6
Notice how the 'a' terms divide to 1 and go away, i.e. cancel out.
The b terms divide to (b^2)/b = b
The right hand side values divide to 18/3 = 6
So that's how we end up with b = 6
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Now if b = 6, then we can say,
ab = 3
a*6 = 3
a = 3/6
a = 1/2
Or we could say
ab^2 = 18
a*6^2 = 18
a*36 = 18
a = 18/36
a = 1/2
Answer:
6 units squared
Step-by-step explanation:
Formula:
area = 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )
Assign variables:
A = 5, B = 4, C = 3.
Distribute:
area = 0.25 * √( (5 + 4 + 3) * (-5 + 4 + 3) * (5 - 4 + 3) * (5 + 4 - 3) )
Combine like terms
area = 0.25 * √( (12) * (2) * (4) * (6) )
Multiply:
area = 0.25 * √(576)
Square root:
area = 0.25 * 24
Multiply:
area = 6 units squared
Answer:
2
Step-by-step explanation:
So the midpoint of AB can be calculated by finding the length of AB, dividing it by 2 and then adding it to A. So the length of AB is equal to B-A or in general the difference between two values is |a-b| where the order doesn't matter, but assuming B is the right side (meaning it should be greater than A) the length should be B-A. in this case A = -5 and B = 3 so the length is 3 - (-5) = 8. The length is 8 so the midpoint is half of that which is 4, now adding 4 to the left side (A) you get -5 + 4 = -1. So the midpoint of AB lies at -1. Now the midpoint of AC can be found using the same process. 7 - (-5) = 12 => 12/2 = 6 => -5 + 6 = 1 so the midpoint of AC is at 1. Now to find how many units from the midpoint AB to AC you just subtract the midpoint of AB from AC. this gives you 1 - (-1) which is 2.
