The value placed in the box that makes the system of equation with infinitely many solution is 12.
<h3>How to solve an infinitely many solution equation?</h3>
An infinite solution has both sides equal. For example, 6x + 2y - 8 = 12x +4y - 16. If we simplify the equation we will notice both sides are equal. This means the equation has an infinitely many solution.
Hence,
y = -2x + 4
Therefore,
6x + 3y = 12
divide the equation(ii) by 3
2x + y = 4
y = -2x + 4
Therefore, both equation are equal if the the box is filled with 12. This means for the value placed in the box that makes the system of equation with infinitely many solution is 12.
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Answer:
Option D
Step-by-step explanation:
From the picture attached,
In the parallelogram ABCD,
Length of diagonals AC and BD are equal.
By the property,
"If the lengths of the diagonals of a parallelogram are equal, parallelogram will be a rectangle".
Therefore ABCD is a rectangle.
That means all interior angles of the given rectangle will be 90°.
Now we apply Pythagoras theorem in right triangle ΔABC,
AC² = AB² + BC²
(22)² = (12)² + (BC)²
484 - 144 = (BC)²
BC = √340
BC = 18.44 inches
Dimensions of the given box are 12 inches by 18.44 inches.
Dimensions of the rectangular tray is 11.5 inches by 18 inches.
Since, dimensions of the box are larger than the dimensions of the tray, tray can be adjusted in the box.
Therefore, Option D will be the answer.
Answer:
A decimal is a number that can't be divided easily
Step-by-step explanation:
Answer: -1
Step-by-step explanation:
slope formula: y=mx+b
m=slope
y=(-1)x+8
Answer:
try 2640 if thats not it then i did my math wrong
Step-by-step explanation:
