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Alex777 [14]
3 years ago
10

Nellie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
For the answer to the question above, I think i've seen this question before.
If we substitute 13 to f(x) and get a value for x, then the two equations will intersect. So,
f(x) = x^2 + 6x +10
13 = x^2 + 6x+ 10
x^2 + 6x - 3 = 0

Solving the quadratic equations:
The roots of the equation is
x = 0.4641 and
x = -6.4541

Therefore, the line will intersect with the quadratic function.
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MissTica

Answer:

Scale factor = 7

Step-by-step explanation:

Dilation with scale factor to map HEFG to DABC will be,

Scale factor = \frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}

                    = \frac{\text{Length of CD}}{\text{Length of GH}}

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                       = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

                       = \sqrt{(-7-0)^2+(0+7)^2}

                       = \sqrt{98}

                       = 7\sqrt{2}

Length of GH = Distance between G(0, -1) and H(-1, 0)

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                       = \sqrt{2}

Scale factor = \frac{7\sqrt{2} }{\sqrt{2} }

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