A quadratic equation that has 2 roots that are equal means that the discriminant of the equation is 0. The value of k that makes the equation have 2 real and equal roots is
Given that:
Rewrite as:
A quadratic equation is represented as:
By comparison:
If an equation has 2 real and equal roots, then:
So, we have:
Divide by 4
Divide by 6
Subtract 2 from both sides
Take LCM
Divide by 2
Hence, the value of k that makes the equation have 2 real and equal roots is
Read more about real and equal roots at:
brainly.com/question/2535040
Answer: The area of the square is 64 square inches and the area of the new rectangle is 60 square inches. The square's area is 4 inches larger than the rectangle.
Step-by-step explanation: If a side length of the square measures 8 inches, then its area can be calculated as follows;
Area = L x W
The length and the width both measure 8 inches (all sides of a square are equal in length).
Area = 8 x 8
Area = 64
Also, the the new rectangle is formed by increasing the width of the square by 2 inches (that is 8 + 2 = 10), and decreasing the length by 2 inches (that is 8 - 2 = 6). The area of the new rectangle is calculated as follows;
Area = L x W
Area = 10 x 6
Area = 60
Therefore the area of the square is 64 square inches and the area of the rectangle is 60 square inches. The area of the square is 4 inches larger than that of the rectangle.
So hmmm notice the picture below
recall the "inscribed angle" theorem, an angle inscribed is half the intercepted arc
now, the line BA goes through the center, and to each end, thus is a diameter, the point of tangency, where a tangent hits the diameter or radius of a circle, is always a right-angle
Dude this app is for homework purposes. Not to chat with people.
Answer:
<u>Altogether, Greg spent $22.71.</u>
Step-by-step explanation:
1) 5kg × $2.75 = $13.75
Purple beads: Spent $13.75
2) 1/2 kg = 1.5kg
1.5kg × $1.84 = $2.76
Orange beads: Spent $2.76
3) 2kg × $3.10 = $6.20
White beads: Spent $6.20
4) Add them all together.
$13.75 + $2.76 + $6.20 = <u>$22.71</u>
<em><u>Hope</u><u> </u><u>this</u><u> </u><u>helps</u><u>.</u><u> </u><u>:</u><u>)</u></em>