Answer:
Step-by-step explanation:
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = -2
C = -10
B2 - 4AC =
4 - (-120) =
= 124
Applying the quadratic formula :
2 ± √ 124
x = —————
6
√ 124 simplified
The prime factorization of 124 is
2•2•31
To be able to remove something from under the radical, there have to be 2 instances of it
√ 124 = √ 2•2•31 =
± 2 • √ 31
√ 31, rounded to 4 decimal digits, is 5.5678
So now we are looking at:
x = ( 2 ± 2 • 5.568 ) / 6
Two real solutions:
x =(2+√124)/6=(1+√ 31 )/3= 2.189
or:
x =(2-√124)/6=(1-√ 31 )/3= -1.523
This the answer to your problem 89 :)
Q=5*x^2+3*(8-x)^2
dq/dx=10x-6(8-x)=16x-48....1
To minimise q dq/dx=0......2
x=3 and y=5 on solving 1&2
First I'd suggest plotting the points on a graph so that you can visualize the problem. What you're trying to find is the area of the triangle that the three points given will form. The area of a triangle is
where b is the size of the base of the triangle and h is the height of the triangle. From graphing the three points and connecting them, you can see that the base of the right triangle formed is 4 units/gridlines and the height of the right triangle is 7 units/gridlines. SInce the problem specifies that each gridline is 2 feet, that means that the base 4 x 2 = 8 feet, and the height is 7 x 2 = 14 feet. Now you just plug these values into the equation for the area of a triangle to get
feet squared as the area that will be covered in gravel.
Answer:
4 cm, 8 cm, 10 cm
Step-by-step explanation:
The sum of any 2 sides of a triangle must be greater than the measure of the third side