Answer:
(2) Real and equal (i.e., repeated roots), if D = 0.
Step-by-step explanation:
.In a quadratic equation ax2 + bx + c = 0, if discriminant is D= b2 - 4ac, then roots of the quadratic equation are
Real and equal (i.e., repeated roots), if D = 0.
If the D > b² - 4ac then it's real and distinct.
Answer:
6x^2 − 10x − 24
Step-by-step explanation:
2(3x + 4)(x - 3)
(6x + 8)( x − 3)
6x^2 − 18x + 8x − 24
6x^2 − 10x − 24
Answer:
450 cm
Step-by-step explanation:
12 degrees is 1/30 of the circumference because there are 360 degrees in a circle.
The minor arc length of 15 is in the same ratio to the circumference as the 2 angles , so the circumference = 30 * 15 - 450 cm.
Answer:
-17
Step-by-step explanation:
- 5 * (6 + 4) ÷ 2
Following PEMDAS, we must focus on the parenthesis first.
- 5 * (6 + 4) ÷ 2
- 5 * (10) ÷ 2
Now we will focus on the exponent:
- 5 * 10 ÷ 2
8 - 5 * 10 ÷ 2
Now Multiplication/Division.
This is where you must follow the order in the equation where you see the multiplication sign first, so you multiply first.
8 - 5 * 10 ÷ 2
8 - 50 ÷ 2
Next, Divide:
8 - 50 ÷ 2
8 - 25
Subtract:
8 - 25
-17
- 5 * (6 + 4) ÷ 2 = -17.
Answer:
6.25 pi cm^2
Step-by-step explanation:
The formula for circumference is
C = 2*pi*r
We know the circumference is 5 pi
5 pi = 2 * pi *r
Divide each side by pi
5 pi/pi = 2 * pi *r/pi
5 = 2r
Divide by 2
5/2 = 2r/2
2.5 = r
We need to find the area of the circle
The area is given by
A = pi * r^2
= pi * (2/5)^2
= pi *6.25
= 6.25 pi cm^2
