Answer:
12 meters to the left, or -12
Step-by-step explanation:
3 meters per second for 4 seconds
Meaning it's 3 x 4
3 x 4 = 12, so therefore it's -12 meters or just 12 meters to the left.
Answer:
4x - 8 = 15
4x = 15 + 8
4x = 23 (divide both sides by 4 to get x)
4x/4 = 23/4
x = 5.75
Step-by-step explanation:
x = 5.75!!!!!
Answer:
8ft
Step-by-step explanation:
Circumference of a circle equation; πd or2πr
16π = 2πr you can then divide both sides by π
16 = 2r then you can divide both sides by 2
8 = r
$34 divided by $3 because he spent $3 for each hour. The answer is A 11.3333
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.
