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guajiro [1.7K]
3 years ago
12

△PQR is reflected to form​ ​ △P′Q′R′ ​. The vertices of ​ △PQR ​ are P(1,1) , Q(−1,−2) , and R(4,−2) . The vertices of ​ △P′Q′R′

​ are P′(−1,1) , Q′(1,−2) , and R′(−4,−2) . Which reflection results in the transformation of ​ △PQR ​ ​​to​ ​ △P′Q′R′ ​​​? reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x
Mathematics
2 answers:
kozerog [31]3 years ago
8 0
The answer is y=-x.
Lyrx [107]3 years ago
7 0

Answer:

The △PQR is reflected across the y-axis and option 2 is correct.

Step-by-step explanation:

1. The reflection across the x-axis is defined as

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

2. The reflection across the y-axis is defined as

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

3. The reflection across the y=x is defined as

(x,y)\rightarrow (y,x)

4. The reflection across the y=-x  is defined as

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

It is given that the vertices of ​ △PQR ​ are P(1,1) , Q(−1,−2) , and R(4,−2) . The vertices of ​ △P′Q′R′ ​ are P′(−1,1) , Q′(1,−2) , and R′(−4,−2) .

The relation between prerimage and image is defined as

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

Therefore the △PQR is reflected across the y-axis and option 2 is correct.

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Bouncing Baby Company sells their cribs for the following amounts to stores
xz_007 [3.2K]

Answer:

Option C

Step-by-step explanation:

Since, Price of cribs (P) are proportional to the proportional to the number of cribs (N) sold,

P ∝ N

P = kN

Here 'k' is the proportionality constant

To get the value of proportionality constant,

Since, value of 10 cribs is $1320

1320 = k(10)

k = 132

Therefore, equation will be

P = 132N

Option A

If number of cribs = 6

P = 132(6) = $792

False.

Option B

For N = 22

P = 132(22) = $2904

False.

Option C

For N = 40

P = 132(40) = $5280

True

Option D

For N = 55

P = 132(55) = $7260

False

Option E

For N = 80

P = 132(80)

  = $10560

False

Option F

For N = 250

P = 132(250)

  = $33000

False

If the given options have been written correctly only one option, Option (C) is correct.

4 0
3 years ago
Joe has 4/5 as much money as bob. Tim has $50 more than joe. Rita has $150, which is $35 more than bob. How much money does tim
lesantik [10]

Rita = $150

Bob = $150 - $35 = $115    Bob has $115

Joe = $115 divided by 5 = $23      $23 x 4 = $92    Joe Has $92

Tim = Has $50 more then joe, $92 + $50 = $142     Tim has $142

3 0
3 years ago
How do ypu slove dis? <br>y^2(q-4) - c(q - 4)
Annette [7]
<span><span> y2(q-4)-c(q-4)</span> </span>Final result :<span> (q - 4) • (y2 - c) </span>

Step by step solution :<span>Step  1  :</span><span>Equation at the end of step  1  :</span><span><span> ((y2) • (q - 4)) - c • (q - 4) </span><span> Step  2  :</span></span><span>Equation at the end of step  2  :</span><span> y2 • (q - 4) - c • (q - 4) </span><span>Step  3  :</span>Pulling out like terms :

<span> 3.1 </span>     Pull out     q-4 

After pulling out, we are left with : 
      (q-4) • (<span> y2</span>  *  1 +( c  *  (-1) ))

Trying to factor as a Difference of Squares :

<span> 3.2 </span>     Factoring: <span> y2-c</span> 

Theory : A difference of two perfect squares, <span> A2 - B2  </span>can be factored into <span> (A+B) • (A-B)

</span>Proof :<span>  (A+B) • (A-B) =
         A2 - AB + BA - B2 =
         A2 <span>- AB + AB </span>- B2 = 
        <span> A2 - B2</span>

</span>Note : <span> <span>AB = BA </span></span>is the commutative property of multiplication. 

Note : <span> <span>- AB + AB </span></span>equals zero and is therefore eliminated from the expression.

Check : <span> y2  </span>is the square of <span> y1 </span>

Check :<span> <span> c1  </span> is not a square !! 
</span>Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :<span> (q - 4) • (y2 - c) </span><span>
</span>
4 0
3 years ago
1. What's 7/8 as a decimal?
denpristay [2]

Answer:

0.875

Step-by-step explanation:

7/8 as a decimal is 0.875. Another was of thinking of this is the number '7' is 87.5 percent of the number '8.

5 0
3 years ago
If X = 10 cm, Y = 24 cm, and Z = 26 cm, what is the tangent of A?
omeli [17]

2.4cm is the tangent of A

6 0
3 years ago
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