The absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.
<h3>What is debt?</h3>
It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
As we know,
The absolute value of a negative account balance is equal to the amount of debt. A balance of $0 on an account means there is no debt. Credit is shown by a positive account balance.
Richard has a debt of $45.
The negative of 45 value represents the debt.
-$45 = debt
Absolute value = |-45| = 45
Thus, the absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.
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3y+x=4
2y-x=6
Solve x+3y=4 for x
Add -3y to both sides
x+3y-3y=4-3y
x=-3y+4
Substitute -3y+4 for x in -x+2y=6
-x+2y=6
-(-3y+4)+2y=6
Simplify both sides of the equation
5y-4=6
Add 4 to both sides
5y-4+4=6+4
5y=10
Divide both sides by 5
5y/5=10/5
y=2
Substitute 2 for y in x=-3y+4
x=-3y+4
x=(-3)(2)+4
x= -6+4
x= -2
Answer : x=-2 and y=2
The answer is A
it is (-2,2) and lies on both lines
I hope that's help !
Answer:
Step-by-step explanation:
We have been given a formula for the surface area of a container in shape of right prism. We are asked to solve for h for our given formula.
First of all, we will switch sides for our given equation as:
Now, we will subtract 2B from both sides of our equation.
Now, we will divide both sides of our equation by P.
Therefore, option A is the correct choice.
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The value of the scale factor is 3. Then the height and area of the triangle ΔABC will be 9 ft and 54 square ft.
<h3>What is dilation?</h3>
Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
The area of the triangle ΔDEF is 6 square ft. And the base length of the triangle ΔDEF is 4 ft.
The area of the triangle is given as

Then the height of the triangle ΔDEF will be

Then the scale factor will be

Then the height of the triangle ΔABC will be

Then the area of the dilated triangle ΔABC will be

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12x^3 +2x^2-30x = 8
2x( 6x^2 +x -15) = 8
so 2x= 8, x=4
(2x) ( 2x-3) ( 3x+5) = 8
2x-3 = 8
2x= 11
x= 5.5
3x+5=8
3x= 3
x=1