Answer:
even if the first answer is wrong? Just kidding, the first one is -9, second is 0, third is 9, and last is 18
Step-by-step explanation:
-9
0
9
18
Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
Answer:
32.6 - y= 10.2
Step-by-step explanation:
The equation to solve this problem can be written as
32.6 - y= 10.2
Where y is the number that was substracted from 32.6.
If we make y subject of formula we have
y= (32.6-10.2)
y=22.4
Which means the number that was substracted from 32.6 is 22.4 and there difference is 10.2
Step-by-step explanation:
First;
x to third power=x³
y to 4th power=y⁴
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expression=x³ × y⁴
=x³y⁴
Answer:
14%
Step-by-step explanation: