Answer:
Ex = - 4 + 14xy
Ey = 7x² - 7z²
Ez = -14yz
Step-by-step explanation:
The relationship between Electric field Er(x, y, z) and Electric potential, V, is a differential relationship:
Er(x, y, z) = -dV/dr(x, y, z)
Where r(x, y, z) = distance in x, y and z components.
The x component of the electric field is:
Ex = -dV/dx
Given that:
V = 4x - 7x²y + 7yz²
Ex = -dV/dx
Ex = -(4 - 14xy)
Ex = -4 + 14xy
The y component of the electric field is:
Ey = -dV/dy
Ey = -(-7x² + 7yz²)
Ey = 7x² - 7z²
The z component of the electric field is:
Ez = -dV/dz
Ez = -(14yz)
Ez = -14yz
Answer:
STEP1:Equation at the end of step 1
2y3 - 8y
STEP2:
STEP3:Pulling out like terms
3.1 Pull out like factors :
2y3 - 8y = 2y • (y2 - 4)
Trying to factor as a Difference of Squares:
3.2 Factoring: y2 - 4
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : y2 is the square of y1
Factorization is : (y + 2) • (y - 2)
Final result :
2y • (y + 2) • (y - 2)
Answer:
<em>Answer: SSS</em>
Step-by-step explanation:
<u>Triangle congruence</u>
We need to find out if triangles ABC and DCB are congruent.
The image shows one tick mark on sides AC and BD, thus they are congruent.
Two tick marks are shown on sides AB and CD, thus they are congruent.
Finally, both triangles share the side BC.
Being all three sides congruent, the triangles are congruent by the SSS (side-side-side) congruence theorem.
Answer: SSS
Step-by-step explanation:
Carmen's water bottle = 1.8 litres ≈ 2 litres
Jorge's water bottle = 2
= 2.4 litres ≈ 2 litres
Therefore, from estimate, Jorge's water bottle<u> does not</u> hold half litre more of water than Carmen's.
<u>Actual difference</u> = 2.4 - 1.8 = 0.6 litres
4.25 is greater than 4.228, b/c 5 in the hundreds place is much more greater than a 2 that is in the hundreds place. No matter how long the number is, 4.25 will still be greater than 4.228
