If they are parallel then the coefficients of x and y will remain the same. Only the constant will change.
2x + 3y = ?
2(-2) +3(3) = -4 + 9 = 5 so ? is 5
ANSWER: 2x + 3y = 5
Answer:
x is 10
Step-by-step explanation:
- Let x is the side of the base
- Let h is the height
Given that:
<=> 2
+ 4xh = 4200 cm2
<=> 4xh = 4200 - 2
<=> h = (4200 - 2 )/4x
V = h
<=> V = (4200 - 2 )/4x
<=> V = (4200x - 2
)/4
- To find the maximum volume, we differentiate volume with respect to x:
dV/dx = (4200 - 6 )/4
Set dV/dx = 0, we have:
4200 - 6 =0
<=> = 700
<=> x = 10
d²V/dx² = -12x/4
It is negative so the volume is maximum.
So x is 10
Answer: no solution
x - 3y = 3 --------> (1)
3x - 9y - 2 = 0
3x - 9y = 2 ---------> (2)
Solving (1) and (2)
x - 3y = 3
3x - 9y = 2
Multiply Eqn (1) by 3,
3x - 9y = 9 -------> (3)
3x - 9y = 2 ---------> (4)
<u><em>Answer provided by Education Point</em></u>
The annual interest would be $5 if you have loaned a friend $100 and will charge him 5% annually and the total amount would be $105.
<h3>What is simple interest?</h3>
It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount of borrowed amount.
We have:
You have loaned a friend $100 and will charge him 5% annually.
As we know:
A = P(1 + rt)
P = $100
r = 5% = 0.05
t = 1 years
A = 100(1 + 0.05×1)
A = $105
I = A - P = 105 - 100 = $5
Thus, the annual interest would be $5 if you have loaned a friend $100 and will charge him 5% annually and the total amount would be $105.
Learn more about the simple interest here:
brainly.com/question/22621039
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4 bags of sugar have 6kg or 6000 grams.
how many in each box?
well, there are 4 boxes, how many times does 4 go into 6000? 1500.
that many grams in 1 box then.
