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:
Third quadrant
Step-by-step explanation:
To count quadrants, you do it counter-clockwise, so, since the point is in the (negative, negative) quadrant, it is the third one
Answer: n= -20?
Step-by-step:
Simplify both sides of the equation
1/5n+4=0
Then subtract 4 from both sides
1/5n + 4 - 4 = 0 - 4
1/5n= -4
Then multiply both sides by 5
5*(1/5n)=5*(-4)
Answer:
The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35
Step-by-step explanation:
Given
Total length of one roll of ribbon = 9 feet
As the pieces have to be cut into inches, we will convert the measurement in feet to inches
As there are 12 inches in one feet, 9 feet will be equal to:
9*12 = 108 inches
Now first of all, we have to see how many 15 inches pieces can be cut from one role
So,

So the seamstress can cut 7 15-inch long pieces from a roll.
Now given that he has to cut from 5 rolls, the total number of 15-inch pieces will be:

Hence,
The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35
Answer:
Height of the object is 68.6 cm.
Step-by-step explanation:
The height of the object can be determined by:
= 
From the given question;
object distance from pinhole = 3.6 m = 360 cm
image distance from pinhole = 4.2 cm
height of image = 0.8 cm
So that;
= 
⇒ object height = 
= 
= 68.571
object height = 68.6 cm
Thus, the height of the object is 68.6 cm.