Answer all these questions for 15 points,
1 answer:
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9514 1404 393
Answer:
y = (5/27)(x -7)^2 -5/3
Step-by-step explanation:
Use the given points to find the unknowns in the equation.
If the axis of symmetry is x=7, then the equation can be written in the form ...
y = a(x -7)^2 +b
Filling in the two point values, we have two equations:
0 = a(4 -7)^2 +b ⇒ 9a +b = 0
5 = a(1 -7)^2 +b ⇒ 36a +b = 5
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Subtracting the first equation from the second, we have ...
(36a +b) -(9a +b) = (5) -(0)
27a = 5
a = 5/27
Substituting that value into the first equation gives ...
9(5/27) +b = 0
5/3 +b = 0
b = -5/3
So, the quadratic can be written in vertex form as ...
y = (5/27)(x -7)^2 -5/3
Answer:
Square
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE FIQURE OF THE QUESTION
✓We were given the dimension of the rectangular prism as 10cm × 4cm × 4cm,
✓The cross section of the paperweight can be cut into half to it's base. Then the new dimension will be 4cm × 4cm which is a quadrilateral.
✓ Then width= 4cm, and height=4 cm are of the same values, hence the shape it forms is a SQUARE. and also the their angles is 90° each.
