2x + 6y = 14y - 19x^2 + 12 is a non-linear equation
Step-by-step explanation:
Lets define a linear equation first.
A linear equation is an equation in which there is no variable with exponent greater than 1 or the degree of the equation is 1.
So,
<u>x + 12 = -8x + 10 - 2y</u>
The equation is a linear equation because the degree of the equation is 1.
<u>x = 8x + 19 - 10y</u>
The equation is a linear equation because the degree of the equation is 1.
<u>2x + 6y = 14y - 19x^2 + 12</u>
The equation involve a term with exponent 2 which makes the degree of the equation 2 making it a quadratic equation
<u>2x + 13y + 14x - 7 = 16y - 3</u>
The equation is a linear equation because the degree of the equation is 1.
Hence,
2x + 6y = 14y - 19x^2 + 12 is a non-linear equation
Keywords: Linear, quadratic
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Answer: $387
Step-by-step explanation:
Answer:
B. move forward 7, left 6, and down 5
Step-by-step explanation:
By the <u>convention of 3D geometr</u>y, the coordinates of a point (x,y,z) represent how far the point is from the origin forward-backward , right/left , up-down respectively with prior one for the positive coordinate and latter for the negative coordinate.
so we need to move forward 7 for x=7 then to left 6 for y=-6 and then down 5 for z=-5.
Answer:
9 people
Step-by-step explanation:
Start by writing an equation.
The total bill is 134.03. The bill is totally paid by Marcus and the other guests. This will go on the other side of the equation.
Since we don't know how many guests there were, we can use variable x to represent the value that we're trying to find.
So here is our equation.
134.04 = 20.45 + 12.62x
Now, just solve for x, or isolate x.
Subtract 20.45 from both sides.
134.04 - 20.45 = 12.62x
Divide both sides by 12.62.
113.59/12.62 = x
Simplify.
x = 9
Since x is 9, we know that there were 9 other people at the dinner party.
By definition, the prism volume is given by:

Where,
Ab: base area
L: long
Substituting values we have:
Answer: The volume of the triangular prism is: