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3 years ago

Which of the following is not an example of a parent function?

1 answer:

3 0

Y = x ^4; y = 1/x and y = | x | are parent functions.
D ) y = x + 2 is not a parent function. The parent function is a linear function:
y = x.

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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

Read 2 more answers

Tank A has a capacity of 9.5 gallons. 6 1\3 gallons of the tank"s water are poured out. How many gallons of water are left in th

aleksandr82 [10.1K]

Answer: Since 1/3 can't be turned into a decimal, change .5 into 1/2. In order to subtract, the fractions need a common denominator. The least common denominator is 6. So 1/3 turns into 2/6, and 1/2 turns into 3/6. Now you need to take 9 3/6 minus 6 2/6. The answer is 3 1/6 gallons of water.

Step-by-step explanation:

4 0

3 years ago

If y varies directly as x and y = 42 when x = 6, find the equation that gives the relationship between x and y.

Troyanec [42]

Answer:

Step-by-step explanation:

since K is constant ( the same for every point) we can find k when given any point by dividing the y-coordinate by the x-coordinate.

6 0

3 years ago

Distribute and combine like terms. Please show all of your work.<br><br> -5(3x + 7) - 4(x - 4) + 11

Varvara68 [4.7K]

For this case we have the following expression:

$-5 (3x + 7) -4 (x-4) +11$

For simplicity we follow the steps:

We apply distributive property to the terms within the parenthesis, bearing in mind that:

$- * + = -\\- * - = +\\-15x-35-4x + 16 + 11 =$

We add similar terms taking into account that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the major is placed.

$-15x-4x-35 + 16 + 11 =\\-19x-8$

ANswer:

$-19x-8$

5 0

3 years ago

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1. Find the GCF of 3x3y5z and 21xy3z4.

swat32

Answer:

GREATEST COMMON FACTOR IS 9XZ

4 0

2 years ago