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4 years ago

WXY is a right triangle. A. True B. False

Mathematics

1 answer:

mojhsa [17]4 years ago

4 0

Answer:

need a picture

Step-by-step explanation:

can u give us a picture of the triangle? we can't determine whether point WXY is a right triangle without an image.

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HURRY PLEASE!!!!! Triangle RST is translated 2 units left and then reflected over the y-axis.

AVprozaik [17]

Answer:

The correct options are 1 and 2.

Step-by-step explanation:

The vertices of triangle are S(-4,4), T(-1,4), R(-1,1).

If triangle translated 2 units left,

$(x,y)\rightarrow (x-2,y)$

and then reflected over the y-axis,

$(x-2,y)\rightarrow (-x+2,y)$

The relation between image and preimage is

$(x,y)\rightarrow (-x+2,y)$ ..... (1)

The vertices of image are

$S(-4,4)\rightarrow S'(6,4)$

$T(-1,4)\rightarrow T'(3,4)$

$R(-1,1)\rightarrow R'(3,1)$

Therefore the vertices of image are S'(6,4),T'(3,4), R'(3,1).

1. A reflection over the y-axis and then a translation 2 units right is defined as

$(x,y)\rightarrow (-x+2,y)$

It is equivalent to relation 1, therefore option 1 is correct.

2. A 180 rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis is defined as

$(x,y)\rightarrow (-x+2,y)$

It is equivalent to relation 1, therefore option 2 is correct.

3. A reflection over the y-axis and then a translation 2 units left is defined as

$(x,y)\rightarrow (-x-2,y)$

It is not equivalent to relation 1, therefore option 3 is incorrect.

4. A 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis is defined as

$(x,y)\rightarrow (-x-2,y)$

It is not equivalent to relation 1, therefore option 4 is incorrect.

5. A reflection over the x-axis and then a translation 2 units right is defined as

$(x,y)\rightarrow (x+2,-y)$

It is not equivalent to relation 1, therefore option 5 is incorrect.

6. A reflection over the x-axis and then a translation 2 units left is defined as

$(x,y)\rightarrow (x+2,-y)$

It is not equivalent to relation 1, therefore option 6 is incorrect.

Therefore the correct options are 1 and 2.

8 0

3 years ago

Read 2 more answers

A sociologist records the annual household income (in thousands of dollars) among a sample of families living in a high-crime ne

Gnoma [55]

Answer:

The lower quartile is $Q_1=33$ thousand dollars.

The median quartile is $Q_2=39$ thousand dollars.

The upper quartile is $Q_3=45$ thousand dollars.

Step-by-step explanation:

The lower quartile is the median value of the lower half of a data set at the 25th percentile of a distribution.

The median quartile is the median value of a data set at the 50th percentile of a distribution.

The upper quartile is the median value of the upper half of a data set at the 75th percentile of a distribution.

To locate each quartile in a data set, we follow four steps:

Step 1: Put the numbers in order: 23, 25, 33, 34, 39, 39, 44, 45, 48, 55

Step 2: The median is given by $\frac{n+1}{2}$ where n is all scores in the data set.

Because n = 10, the median position is $\frac{10+1}{2}=5.5$

The median is the average of the fifth and sixth positioned scores

$Q_2=\frac{39+39}{2} =39$

Step 3: Compute $\frac{n+1}{2}$ where n is all scores below $Q_2$ .

For scores below $Q_2$ , use only 23, 25, 33, 34, 39.

Because n = 5, the median position is $\frac{5+1}{2}=3$

The median is the third positioned score: $Q_1=33$

Step 4: Compute $\frac{n+1}{2}$ where n is all scores above $Q_2$ .

For scores above $Q_2$ , use only 39, 44, 45, 48, 55

Because n = 5, the median position is $\frac{5+1}{2}=3$

The median is the third positioned score: $Q_3=45$

7 0

3 years ago

What are the intercepts of the line?

zmey [24]

X intercept: (-4)
y intercept: (8)

6 0

3 years ago

- Which of the following expressions has a coefficient of 10 and a constant of 5?

maw [93]

Answer:

Either 10+5 or 10-5

Step-by-step explanation:

Coefficient- the number that is multiplied by the variable

Constant- a number that stays the same and is not changed no matter what x or y equals.

6 0

2 years ago

Why is the slope the same on a line when different points are used to identify the slope?

emmainna [20.7K]

Different points are used to identify the line, this can mean that both points lie on the same line.
Therefore the slope is the same because the line passes through both those points.

7 0

2 years ago