The correct choice is option D. The given equations are:...[1]...[2] Multiply equation [1] by 5 on both sides; we have...[3]. By using the elimination method, we can add equations [2] and [3] to eliminate y and determine x, resulting in... Dividing both sides by 13 yields x = 3. Substituting x back into equation [1] results in 2(3) - y = -4, which simplifies to 6 - y = -4. After subtracting 6 from both sides, we find -y = -10. Dividing through by -1 gives y = 10. Hence, the solution is (3, 10). Consequently, a valid equation that can replace 3x + 5y = 59 in the original set while still yielding the same result is 13x = 39.
Answer and explanation:
Algebra revolves around the fundamental idea of using letters known as variables to represent quantities, which allows for solving for unknown values. Essentially, algebra involves transitioning from what is known to what is unknown to ascertain those unknown results. For instance, if we know a specific item was purchased twice but we're unsure of its price, we can denote this unknown price as 2a or 2p, depending on the selected variable. If the total spending for those items is, say, $50, we can set up the equation 2a = $50, which leads us to find that the cost per item is $25.
Algebra can also manifest itself in expressions, commonly referred to as algebraic expressions, which can be incorporated into equations, such as the previously mentioned 2a = $50. These expressions may take forms like 2a + 3b, where a and b designate the costs of different products that were acquired in quantities of 2 and 3, respectively.
Answer:
d) Both blocks experienced equivalent energy loss due to friction
Explanation:
As stated in the question, two tractors are pulling two identical stone blocks the same distance across similar surfacesAdditionally, block A moves at double the speed of block B when completing the race
This implies both blocks suffer from comparable friction loss
Moreover, we understand that
Energy loss from friction is 
Thus, the friction loss should be identical for both blocks
therefore, option d is the accurate choice 
Response:
The answer is 1/13
To explain step-by-step:
We are notinformed about the first (01) twelve (12) cards that are shown; hence, the probability that the thirteenth (13) card dealt is a King is equivalent to the probability of the first card being a King, or specifically any designated card dealt being a King, equating to:
=4/52
=
1/13 FINAL RESULT
La trestle atteint le niveau du sol aux unités 0,9 et 9,1
Explication étape par étape:
∵ -x² + 10x - 8 = 0 ⇒ × (-1)
∴ x² - 10x + 8 = 0
∵ 10x/2 = 5x ⇒ (x) × (5) ⇒ le carré de x est x² et le carré de 5 est 25
En utilisant la forme du carré complet
∴ (x² - 10x + 25) - 25 + 8 = 0
∴ (x - 5)² - 17 = 0
∴ (x - 5)² = 17 ⇒ prenez la racine carrée des deux côtés
∴ x - 5 = -√17 ⇒ x = -√17 + 5 = 0,9
∴ x - 5 = √17 ⇒ x = √17 + 5 = 9,1
∴ La trestle atteint le niveau du sol aux unités x = 0,9 et x = 9,1
