Mathematics : asked on sk800760
 20.03.2022

Graph a triangle ABC and perform a translation of (x + 4, y - 3) to create triangle ABC Describe the transformation using words Make sure you refer to the characteristics and the coordinates 2 Draw a line through points A and Aand through points and What do you notice about the lines you drew? Do you think you would the same characteristics you drew another line through points C and How do you know?

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24.02.2022, solved by verified expert
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Let in the triangle ABC, vertex A(x1,y1), vertex B(x2,y2) and vertex C(x3,y3) 

after translation of (x + 4, y - 3)

Triangle ABC will be converted to A'B'C' with A'(x1 + 4, y1 - 3), B'(x2 + 4, y2 - 3) and C'(x3 + 4, y3 -3) 

If we calculate the distance between A and A'  (AA') using the distance formula 

AA' = sqrt( (x1+4-x1)^2 + (y1-3-y1)^2) = sqrt(16+9) = 5 

The same distance is in between BB' and CC' 

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Mathematics
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P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
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P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
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P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
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P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
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P Answered by PhD

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

Mathematics
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P Answered by PhD

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

Mathematics
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P Answered by PhD

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

                   =276/46

                    =6%

There fore sales tax rate=6%

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