Linear equations are:
Non-linear equations are:
Step-by-step explanation:
Lets define linear and non-linear first.
Linear equation is that equation whose degree is one. Degree is the highest power of a variable in an expression or equation.
Similarly, an equation with degree greater than 2 are called non-linear equation
In the given equations,
=> Degree: 3
=> Degree: 1
=> Degree: 2
=> Degree:1
=> Degree:2
Hence,
Linear equations are:
Non-linear equations are:
Keywords: Linear equations, expressions
Learn more about linear equations at:
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The problem involves the volume of the water of the rectangular tank, so first we must find the volume of our water. For the volume we have;
Therefore our tank has an initial volume of 6250 cm³, but if you drop a cube with a side measuring 10 cm. the volume of the water in our tank increases. Giving us the expression;
Since we already have the volume of the water (which is 6250), we just need to find the volume of the cube using the same formula (<em>Volume = Lenght x Width x Height</em>);
Therefore our new volume when they are combined or when the cube is droped in the tank is 7250 cm³.
But we must remember since our tank would remain it's shape no matter how much water it holds it would always retain it's dimension of it's lenght and width (25x25), therefore it is possible to find the height of the new water level using this logic;
Therefore the height of the new water level is 11.6 cm.
Answer: x = -3/4 can not be a rational zero of the polynomial.
Step-by-step explanation:
We have the polynomial:
6x^5 + ax^3 -bx -12 = 0.
The theorem says that:
If P(x) is a polynomial with integer coefficients, and p/q is a zero of P(x) then p is a factor of the constant term (in this case the constant term is -12) and q is a factor of the leading coefficient (in this case the leading coefficient is 6.).
The factors of -12 (different than itself) are (independent of the sign).
1, 2, 3, 4 and 6.
So p can be: 1, -1, 2, -2, 3, -3, 4, -4, 6, -6.
The factors of 6 are:
1, 2 and 3, so q can be 1, -1, 2, -2, 3, -3.
Then the option that can not be a zero of the polynomial is
x = -3/4
because the number in the denominator must be a factor of the leading coefficient, and 4 is not a factor of six.
Use the distance formula and simply substitute in the corresponding orders pairs.
Distance = √(x2 - x1)² + (y2 - y1)²
Distance = √(4 - (-6))² + (3 - (-1))²
Distance = √(4 + 6)² + (3 + 1)²
Distance = √(10)² + (4)²
Distance = √100 + 16
Distance = √116
Distance = 10.7703296143
Round to the nearest hundredth!
Distance ≈ 10.77
