If you find the discriminant it will tell you the number and types of roots. The discriminant is the value b^2 -4ac.
a = 1
b = 1
c = 1
1^2 - 4*1*1
1-4 = -3
Since this is a negative number there will be 2 complex roots.
Answer:
5
Step-by-step explanation:
Area of a circle is

. The first one, a, the radius squared is 8*8=64. So

. If you multiply in pi as 3.14, you'll have 200.96 square inches. The second one, b, the radius squared is 10*10=100. So

square kilometers. If you multiply in pi as 3.14 you'll have 314 square kilometers. The third one, c, the radius squared is 14*14=196. So

. Or you could multiply in pi as 3.14 to get 615.44 yd squared. For the last one, d, the radius squared is 22*22=484 cm. Therefore,

, or multiply in 3.14 for pi to get 1519.76 cm squared. There you go!
To find the scaled version of this rectangle by 1/2, start by identifying what this scale factor does to effect the numbers.
In this case, it causes each to divide by two.
Divide each value on the length and width of the rectangle by two.
This results in:
4/2
8/2
Now, perform the division to find your final answer.
This gives you 2 ft by 4 ft.
Answer choice C is the best option.
I hope this helps! :)
Answer:
x<3 and x<5
Step-by-step explanation:
Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followedStep 1: Factorize the quadratic expression
x² - 8x + 15 <0
x² - 3x - 5x + 15 <0
x(x - 3) - 5(x - 3) <0
(x -3)(x -5)< 0
x -3<0 and x -5<0
x< 3 and x< 5