Answer:
Discriminant is 60
Step-by-step explanation:
the discriminant of 
To find discriminant , first we write the equation in the form of


Subtract 2 on both sides

a=3, b=6, c=-2
Formula for discriminant is 
Plug in the values

Discriminant is 60
Answer:
The rug will fit. The rug is smaller than the parallelogram.
Step-by-step explanation:
This question is testing to see if you can figure out how the rug may fit in the room.
The rug does fit. Here's how we know.
The only given information from the question is...
- Length and Width of the <em>Rectangular Rug</em>
- Area of the Parallelogram
Notice that you can use the Length and the Width to get the area of the Rectangular Rug. We need to find the area of the rectangle so we can compare it to the parallelogram.
The area of the Parallelogram is listed at : 108 sqft
The area of the rectangular rug is : 60 sqft
- <em>Area of rectangle = Length * Width</em>
- <em>6 * 10 = 60</em>
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The question now asks us if the rug will fit in her room. Well, 60 sqft is less than 108 sqft. So, yes, it will fit.
You need to find the unit rate of 3 : 1800 first by dividing 1800 and 3
1800 ÷ 3 = 600
So this means for every 1 pound bag it covers 600 square feet. You now need to multiply 600 and 4 to see how many square feet 4 pounds cover.
600 × 4 = 2400
So each 4 pounds covers 2400 sq ft. Now you have to divide 8400 and 2400 to find how many bags of 4 pounds you need
8400 ÷ 2400= 3.5
You need 3.5 bags of 4 pounds.
Technically you would need 4 bags because you’d have to round it up.
Hope this helps you!! :)
Since it is given that the triangle is a right angle, and one of the other angles is 30 degrees, then we know that this triangle is a 30, 60, 90 triangle. In a 30, 60, 90 triangle, the opposite side of the shortest angle is half of the hypotenuse (which is given as 6). So knowing this, the value of y would be D. 3.
Answer:
B. (-7 +/-√33) / 4
Step-by-step explanation:
2x2 + 7x + 2 = 0
x = [-7 +/- √(7^2 - 4*2*2)] / 2*2
x = -7/4 +/- √(33) / 4
= (-7 +/-√33) / 4