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Andre45 [30]
4 years ago
5

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

Mathematics
1 answer:
Pavlova-9 [17]4 years ago
7 0
The truth is they will intersect and let me explain it to you:
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
That is why we say that It will intersect
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Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

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

Let,

(10, 0) = (x_1, y_1)

(16, 8) = (x_2, y_2)

d = \sqrt{(16 - 10)^2 + (8 - 0)^2}

d = \sqrt{(6)^2 + (8)^2}

d = \sqrt{36 + 64} = \sqrt{100}

d = 10

Length of fencing = 6 + 8 + 10 = 24 m

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Using translation concepts, we have that:

  • For the translation, she has to communicate if it is up, down, left or right and the number of units.
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<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

A translation is either shift left/right or bottom/up, hence she has to communicate if it is up, down, left or right and the number of units.

A reflection is over a line, hence she must communicate over which line the reflection happened.

More can be learned about translation concepts at brainly.com/question/28373831

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