- Discriminant Formula: b² - 4ac, with a = x^2 coefficient, b = x coefficient, and c = constant
So firstly, using our equation plug in the values into the discriminant formula and solve as such:
(-7)² - 4 × 3 × 4
49 - 48
1
So our discriminant is 1. <u>Since 1 is positive and a perfect square, this means that there are 2 real, rational solutions.</u>
I don't understand please be specific
<h2>Problem:</h2>
Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?
<h2>Solution:</h2>






<h2>Answer:</h2>
<u>E</u><u>a</u><u>c</u><u>h</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u>m</u><u> </u><u>d</u><u>i</u><u>d</u><u> </u><u>s</u><u>p</u><u>e</u><u>n</u><u>d</u><u> </u><u>$</u><u>2</u><u>3</u><u>.</u><u>9</u><u>7</u>
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Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.
There are several ways to do this...here's one
Let (0, 4) be a point on the first line
Then.......a line with a negative reciprocal slope going through this point will have the equation :
y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal
-x + 4 = x - 6 add x, 6 to both sides
10 = 2x divide both sides by 2
5 = x
So...using -x + 4, the y value at intersection = -1.......
So...we just need to find the distance from (0,4) to ( 5, -1) =
√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units
Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)
Step-by-step explanation:
The answer is .... C. d>0
Hope it helps !!!!