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inn [45]
2 years ago
8

Part A Predict what will happen to the coordinates of a point (x, y) as the point reflects across a line to produce point (x', y

'). Choose the x-axis, y-axis, y = x and y = -x for the lines of reflection. Express your answers in terms of x and y. (Be sure to watch your signs.)
Mathematics
1 answer:
mylen [45]2 years ago
7 0

The list attached shows the coordinate of (x, y) after transformation when reflecting over x, y-axis, and lines y = x, y = -x

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have two lines of reflection:

y = x and

y = -x

The point is (x, y)

After reflecting over line y = x the coordinate (x, y) becomes:

(y, x)

After reflecting over the line y = -x the coordinate (x, y) becomes:

(-y, -x)

Thus, the list attached shows the coordinate of (x, y) after transformation when reflecting over x, y-axis, and lines y = x, y = -x

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ1

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Harris Interactive® conducted a poll of American adults in August of 2011 to study the use of online medical information. Of the
kirill115 [55]

Answer:

0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570

0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

Step-by-step explanation:

The information given we have the following info given:

n = 1019 represent the sampel size

\hat p=0.6 represent the sample proportion of interest

The confidence level is 95%, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Replacing the info given we got:

0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570

0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

7 0
3 years ago
Ellen says that one and 2/5 equal 5÷7. Is she correct? Explain.
zhuklara [117]
No because 2/5 is the same as 2 divided by 7, so 2/5 = 0.4 where 5 divide by 7 is 0.714….. so they’re not equal.
7 0
2 years ago
Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)
fredd [130]

Answer:

f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3

First tangent line:

y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5

Second tangent line:

y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7


Notice: slope of -1 means that both f'(x_1), \ f'(x_2) are equal to -1, so f'(x_1)=-1 \ and \ f'(x_2)=-1


6 0
3 years ago
Read 2 more answers
The area of a right triangle is 49 square meters. The height is twice as long as the base. How long is the shorter leg of the tr
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a·b = 2·49

a = 2·b

Solve the equations.

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The shorter leg is 7 meters.

4 0
3 years ago
Please write the equation and solve it with full working out ty
Katyanochek1 [597]

Answer:

4

Step-by-step explanation:

3x +7 = x + 15  subtract x from both sides

2x + 7 = 15 subtract 7 from both sides

2x = 8 divide both sides by 2

x =4

6 0
3 years ago
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