Hello from MrBillDoesMath!
Answer:
Choice B.
Discussion:
From the first step
324 x^6 y^ 8 =
2^2 * 3^4 * x^2 * x^4* y^8
so the fourth root of this is
2 ^(2/4)* 3^(4/4) x^(2/4)* x^(4/4)*y^(8/4) =
2^ (1/2) * 3^1 * x^(1/2) * x^(1)* y^ (2) =
(2x)^(1/2) * 3 * x * y^2 =
3 * x * y^2 * sqrt(2x) =
3 * x * y^2 * ( (2x)^2) ^ (1/4)) =
3 * x * y^2 * (4x^2) ^ (1/4)
which is choice B
Thank you,
MrB
Real time mapping of a function to a new function
is known as Fourier transforms. The new mapped function is defined for an
interval of (-∞, ∞).
<span>While the Laplace transform is the counterpart, in which a function
is mapped to a new function on complex plane. Functions defined for span t≥0
are used by Laplace transformation. </span>
5:4 Should be correct! I took the test Btw Hope this helps!! :D
a gradient of a line that is parallel and perpendicular to this line with this gradient of -2
Gradient is the slope
So slope of the line =-2
Slope of parallel line is equal to the slope of the line
So slope of parallel line = -2
Slope of perpendicular line is equal to negative reciprocal of slope of the line
We know slope of line = -2
Negative reciprocal = 
So , Slope of perpendicular line=
Answer:
a. (4, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-x + 4y = -8
-5x - 4y = -16
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: -6x = -24
- Isolate <em>x</em>: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: -x + 4y = -8
- Substitute in <em>x</em>: -4 + 4y = -8
- Isolate <em>y</em> term: 4y = -4
- Isolate <em>y</em>: y = -1
