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Y_Kistochka [10]
3 years ago
6

What is the solution of the equation (4x + 3)2 = 18?

Mathematics
2 answers:
NemiM [27]3 years ago
5 0

ANSWER IS C <3 E=IGUNITY

Arturiano [62]3 years ago
3 0

Answer:

The solution is \frac{3(-1\pm\sqrt2)}{4}

Step-by-step explanation:

Given the equation (4x + 3)^2 = 18

we have to find the solution of the given equation.

(4x + 3)^2 = 18\\\\16x^2+9+24x=18\\\\16x^2+24x-9=0\\\\\text{The solution is calculated by discriminant rule}\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\=\frac{-24\pm\sqrt{576+576}}{32}\\\\=\frac{-24\pm\sqrt{2(576)}}{32}\\\\=\frac{-24\pm24\sqrt{2}}{32}\\\\=\frac{3(-1\pm\sqrt2)}{4}

hence, the solution is \frac{3(-1\pm\sqrt2)}{4}

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<h3>What are the coordinates of the vertices of the image?</h3>

The vertices of the preimage of the triangle are given as:

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M = (5, -1)

N = (7, -3)

The rotation is given as: 180 degrees counterclockwise

<h3 />

The rule of this rotation is

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So, we have:

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2 years ago
2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation whic
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<h2><u>Problem Solving</u>:-</h2>

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

<h2><u>Solution</u>:-</h2>

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

\sf{\rightarrow{d =  kt}}

\sf\rightarrow{20  = 2k }

\sf\rightarrow{K= \frac{20}{2} }

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<h2><u>Answer</u>:-</h2>
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3 years ago
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