Because this is a positive parabola, it opens upwards, like a cup, and the vertex dictates what the minimum value of the function is. In order to determine the vertex, I recommend completing the square. Do that by first setting the function equal to 0 and then moving the 9 to the other side by subtraction. So far: 
. Now, to complete the square, take half the linear term, square it, and add that number to both sides. Our linear term is 6. Half of 6 is 3 and 3 squared is 9. So add 9 to both sides. 
. The right side reduces to 0, and the left side simplifies to the perfect square binomial we created while completing this process. 
. Move the 0 back over and the vertex is clear now. It is (-3, 0). Therefore, 0 is the minimum point on your graph. The first choice above is the one you want.
PQ is tangent to the circle at C. In the circle, In the circle, Arc mBC=89. Find mBCP.
1 answer:
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Answer: y = -2x + 10
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their slope = -1, that is , if is the slope of the first line and
is the slope of the second line , if the two lines are perpendicular , then
= -1
The equation of the line given :
y = 1/2x - 1
comparing with the equation of line in slope intercept form
y = mx + c , where m is the slope and c is the y - intercept , it implies that
= 1/2
Therefore :
= -2
To find the equation of the line with slope -2 and passes through the point ( 3 , 4 ) we will use the formula
= m (
)
y - 4 = -2 ( x - 3 )
y - 4 = -2x + 6
y = -2x + 6 + 4
y = -2x + 10
Solution: The total cost of the gift including the tax = $55.80
The amount paid by Montel = $14
The amount paid by Raymond is
Therefore, Raymond paid $18.6
The amount paid by Emily is
25% of 55.80
Therefore, Emily paid $13.95
We also know that the remaining amount is paid by Leanne.
Therefore, the remaining amount is:
Total amount - Amount paid by Montel, Raymond and Emily
The amount paid by Leanne is $9.25
We clearly see, Raymond has paid $18.6, which is the greatest part of the cost $55.80