Answer:
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Step-by-step explanation:
Let the dimension of the cardboard box be x cm by y cm by z cm.
The surface area of the cardboard box without lid is
f(x,y,z)= xy+2xz+2yz.....(1)
Given that the volume of the cardboard is 19,652 cm³.
Therefore xyz =19,652
......(2)
putting the value of z in the equation (1)
The partial derivatives are
To find the dimension of the box set the partial derivatives and .Therefore
.......(3)
and
.......(4)
Now putting the x in equation (3)
⇒y=34 cm
Then =34 cm.
Putting the value of x and y in the equation (2)
=17 cm.
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Answer:
40 sqaure meters
Step-by-step explanation:
You have to mulitply both sides to find area.
5m times 8m equals 40m
Y = mx + b
where m is the slope and b is the y-intercept.
1. 2x + 3y = 12
3y = -2x + 12
y = -2x + 4
y-intercept is 4
2. x - 4y = 20
-4y = -x + 20
y = -x - 5
y-intercept is 5
3. y = 2x - 9
this one is easy because it's already in standard form
y-intercept is -9
<span>(x-8)(x+4)+(x-3)(x+9)
(x^2 + 4x -8x - 32) + (x^2 + 9x - 3x - 27)
x^2 - 4x - 32 + x^2 + 6x - 27
x^2 + 2x - 59
Answer: D
</span>
Answer:
Step-by-step explanation:
Given polynomial:
Factor out the common term :
To factor the trinomial :
Factor the quadratic by finding two numbers that multiply to -27 and sum to 6: 9 and -3
Rewrite the middle term as the sum of these two numbers:
Factorize the first two terms and the last two terms separately:
Factor out the common term (u + 9):
Substitute back :
Therefore, the factored form of the given polynomial is: