Answer:
Step-by-step explanation:
-2x² + 12x + 32 = 0
discriminant = 12² - 4(-2)(32) = 400
positive discriminant means there are two distinct real roots
x = [-12 ± √(12² – 4(-2)·32)] / [2·(-2)]
= [-12 ± √400] / (-4)
= [-12 ± 20] /(-4)
= 8, -2
Answer:
5 marbles
Step-by-step explanation:
Assume the first is color 1
and then the second is color 1
Now the third is color 2
The fourth is color 2
Now the 5th marble of either color will make 3 of one color
Answer:
Angles of triangle are 40°,60° and 80°.
Step-by-step explanation:
Given:
if angles of a triangle are 2 is to 3 is to 4.
Let the common factor between the angles be 'x'.
So we can say that;
Angle 1 = 
Angle 2 = 
Angle 3 = 
We need to find the value of each angle.
Solution:
Now we know that;
"Sum of all angles of triangle is 180°."
framing in equation form we get;
Substituting the values we get;
Dividing both side by 9 we get;
Angle 1 = 
.
Angle 2 = 
Angle 3 = 
Hence Angles of triangle are 40°,60° and 80°.
Given that the range of the signal is a quadratic function:
(x-h)^2 = 4a (y - k)
(5-4)^2 = 4a (4 - 2)
4a =1/2 therefore,
(x -4)^2 = (1/2)(y – 2)
The road is a line.
Slope of the road is (7 -2)/(-3 -8) =-5/11
Therefore the equation of the line:
5x + 11y = 5(8) + 11(2)
5x + 11y = 62
