X=6 (work shown in picture)
Answer: Sum (b) = -4
Product (c) = 4
<u>Step-by-step explanation:</u>
In the quadratic equation ax² + bx + c
- b represents the sum of the roots
- c represents the product of the roots
2x² - 8x + 8 = 0
2(x² - 4x + 4 = 0)
↓ ↓
b= -4 c= 4
Answer:
r = 10 or -10
Step-by-step explanation:
Answer:
the two graph depicting proportional relationships are the top right and bottom left graphs
hope this helps and btw maybe make ur questions worth more points and dont make titles like this one lol also if its worth like 15 or more points put "__ POINTS"
have a great day!
Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
