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2 years ago

G(x)=2x-x3+8 polynomial function

Mathematics

1 answer:

KonstantinChe [14]2 years ago

4 0

the answer is 8 G(×) =0 interpret something like that but yeah

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The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

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

$DE=\sqrt{(2+2)^2+(4-5)^2}=\sqrt{17}$

$EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}$

$FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}$

$DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}$

Slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of DE,

$m_1=\frac{4-5}{2+2}= \frac{-1}{4}$

Slope of EF,

$m_2=\frac{0-4}{0-2}= 2$

Slope of FG,

$m_3=\frac{1-0}{-4-0}= \frac{-1}{4}$

Slope of DG,

$m_4=\frac{1-5}{-4+2}= 2$

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

3 0

3 years ago

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The area of triangle LMN is 45 in². What is the area of the parallelogram LMNO? A.45 in² B. 90 in² C. 135 in² D.180 in²

krok68 [10]

Answer:its A.

Step-by-step explanation:

7 0

2 years ago

!solve this!<br> 3x + 70 − 7x ≥ 18

UNO [17]

Answer:

3x + 70 − 7x ≥ 18

Step 1: Simplify both sides of the inequality.

−4x + 70 ≥ 18

Step 2: Subtract 70 from both sides.

−4x + 70 − 70 ≥ 18 − 70

−4x ≥ −52

Step 3: Divide both sides by -4.

−4x /−4 ≥ −52 /−4

x ≤ 13

8 0

1 year ago

What is a 40% decrease of 85?

Andrews [41]

40% of 85 is 34 so 85-34=51

51 is your answer

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2 years ago

Evaluate: 2-4 =<br> help please

Akimi4 [234]

Answer:

-2

Step-by-step explanation:

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2 years ago

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