Answer:
(3) y = 4x
Step-by-step explanation:
In order for the equation not to change, the point (0, 0) must be on the original line and so on the line after dilation. The only equation with (0, 0) as a point on the line is y=4x.
Dilation about the origin moves all points away from the origin some multiple of their distance from the origin. If a point is on the origin, it doesn't move. We call that point the "invariant" point of the transformation. For the equation of the line not to change, the invariant point must be on the line to start with.
Answer:
Total area of the fabric = 66 in.²
Step-by-step explanation:
The diagram of the stretched fabric shown takes the shape of a kite having two diagonals that intersect each other.
Total area of the fabric = area of the kite = ½(product of the two diagonals)
= ½(AC × BD)
We need to find AC and BD
BE = DE = 6 in. (Equal lengths)
BD = BE + DE
BD = 6 + 6 = 12 in.
AC = AE + CE
Apply Pythagorean theorem to find AE and CE
✔️AE = √(AB² - BE²) = √((√45)² - 6²) = √(45 - 36) = √9 = 3 in.
✔️CE = √(CD² - DE²) = √(10² - 6²) = √(100 - 36) = √64 = 8 in.
FIND AC:
✔️AC = AE + CE
AC = 3 + 8
AC = 11 in.
FIND the total area of the fabric:
✔️Total area = ½(AC × BD) = ½(11 × 12)
= ½(132)
= 66 in.²
Answer:
(x-8)(x-6)
Step-by-step explanation:
To factor this, you need the numbers that will multiply together to give you the third number (48 in this case) and add together to give you the second number (-14). -8 * -6 = 48. -8 + -6 = -14
Answer: 1/22 + 1/19 + 1/40 =0.123086124
The Fraction form: 1029/8360
The Decimal form: 0.123086124
The Answer is gonna be 0.123086124
This is the right Answer :3
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