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Reil [10]
3 years ago
10

A point has coordinates a-(1,4). Find the coordinates of its image if its translated by (x + 2, y - 1)

Mathematics
2 answers:
allsm [11]3 years ago
5 0
The rule for the translation is given as (x, y) → (x + 2, y - 1). This is a shift 2 units in the x-direction (horizontally) and -1 units in the y-direction (vertically)

To find A'(x',y'):
x' = x + 2 = -1 + 2 = 1
y' = y - 1 = 4 - 1 = 3

Thus A' = (1,3)
Answer is A.

Hope it helps!
romanna [79]3 years ago
4 0
Here, Original Coordinate = A (1, 4)

Coordinate of Image could be either: (-1, 4) or (1, -4)

Coordinate after translation in first case: (x+2, y-1) = (-1+2, 4-1) = (1, 3)
Coordinate after translation in second case: (1+2, -4-1) = (3, -5)

Here, Second option is not in the option, so only correct answer among your option is First one.

In short, Your Answer would be: Option A

Hope this helps!
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The table shows information about some children.
Sindrei [870]

Answer:

P(Age\ 12) = \frac{2}{3}

Step-by-step explanation:

Given

        Age 11    Age 12    Total  

Girls   3             5              8

Boys   1             3             4

Required

P(Age\ 12)

The number of aged 12 children is:

Age\ 12 = 5 + 3

Age\ 12 = 8

The total number of children is:

Total=8+4

Total = 12

So, we have:

P(Age\ 12) = \frac{Age\ 12}{Total}

P(Age\ 12) = \frac{8}{12}

Simplify

P(Age\ 12) = \frac{2}{3}

3 0
3 years ago
Whats the area of this shape
forsale [732]
First cut the shape into a square, triangle and rectangle. Then add all 3 areas. Area of a quadrilateral is A= b x h So once square is 4 X 4= 16. The rectangle has a area of 4 x 2= 8. The triangle, using the formula 1/2bh has an area of 1/2 x 2 x 4 = 4. So the area of the shape is 16 + 8 + 4 = 28 units
4 0
3 years ago
The prime and composite numbers of 9, 15,19,26,33,37,45,47
Elanso [62]
Prime= 19, 37, and 47
Composite= 9, 15, 26, 33, and 45
Hope this helps!
4 0
3 years ago
Help and explain please
Pepsi [2]
The answer is C, 135. To find the solution, first find the area of the closet by multiplying 3 by 5, which is 15. Then, find the area of the entire room by multiplying 15 by 10 to get 150. Finally, subtract 15 from 150 to find the solution of 135 square feet.

3 0
3 years ago
Read 2 more answers
The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran
Murljashka [212]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is rejected this means that \mu \ne  0.5025

The 95% confidence interval is 0.5045608 <  \mu  < 0.5046392

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is \= x =  0.5046 \ in

The population mean is \mu  =  0.5025 \ in

The null hypothesis is H_o  :  \mu =  0.5025

The alternative hypothesis is H_a  :  \mu \ne  0.5025

The test statistics is mathematically represented as

t =  \frac{0.5046 -  0.5025}{ \frac{0.0001}{\sqrt{25} } }

t =  105

So the p-value from the z-table is mathematically represented as

p-value  =  2 *  P( z >  105)

p-value  = 0.000

seeing that

p-value <  \alpha we reject the null hypothesis

The critical value of

\frac{\alpha }{2} obtained from the normal distribution table is

Z_{\frac{\alpha }{2} } =  1.96

The margin of error is mathematically represented as

E = Z_{\frac{\alpha }{2} }*\frac{s}{\sqrt{n} }

=> E = 1.96 *\frac{0.0001}{\sqrt{25} }

=> E =3.92 *10^{-5}

The 95% confidence level is mathematically represented as

\= x  -  E  <  \mu  < \= x  + E

=> 0.5046  -  3.92 *10^{-5}  <  \mu  < 0.5046  +  3.92 *10^{-5}

=> 0.5045608 <  \mu  < 0.5046392

8 0
3 years ago
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