Answer:
y = 7/8x + 7
Step-by-step explanation:
7x- 8y = -56
-7x -7x
-8y = -7x - 56
y = 7/8x + 7
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.
Answer: 78
Step-by-step explanation:
6(4+9)
use foil to distribute the 6 to the 4 and 9
6×4 + 6×9
24 + 54
⇒ 78
Answer:
correct statements in Q no. 17 are;
Answers for Q no. 18;
Step-by-step explanation:
Answer:
x - 5
Step-by-step explanation:
x^2 - 3x - 10
= (x + 2)(x - 5)
Sine the width is (x + 2), the length is (x - 5).
Hope this helped!
