Seven less than the sum of p and r is as much as 6
1 answer:
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Answer:
The sequence is as following:
1. Reflection 180°
2. Reflection over the line x=5
3. Translation 2 units down.
Step-by-step explanation:
The question is as following:
Describe the sequence of transformations from Quadrilateral WXYZ to W”X”Y”Z”.
The picture is a coordinate plane with
W= (-8,8)
X= (-2,8)
Y= (-2,4)
Z= (-8,4)
W”= (2,-10)
X”= (8,-10)
Y”= (8,-6)
Z”= (2,-6)
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See the attached figure
The sequence is:
Reflection 180° ⇒ Reflection over the line x=5 ⇒ translation 2 units down.
Rule of reflection 180° is (x, y) → (–x, –y)
Rule of reflection over the line x=5 is (x, y) → (–x+10 , y)
Rule of translation 2 units down is (x, y) → (x , y–2)
The way of thinking:
1. The rectangle at the second quadrant, we need make it at the fourth quadrant, so, the suitable is <u>Reflection 180°</u>
2. After reflection 180°, it is noticed that we need reverse the vertices so we need to make a reflection over its vertical axis which is at <u>x = 5</u>
3. We need to translate it 2 units down to overlap with the required coordinates.
<u>Check the points:</u>
W(-8,8) ⇒ (8,-8) ⇒ (2,-8) ⇒ (2,-10)⇒W"
X(-2,8) ⇒ (2,-8) ⇒ (8,-8) ⇒ (8,-10)⇒X"
Y(-2,4) ⇒ (2,-4) ⇒ (8,-4) ⇒ (8,-6)⇒Y"
Z(-8,4) ⇒ (8,-4) ⇒ (2,-4) ⇒ (2,-6)⇒Z"
Answer:
The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.66
Step-by-step explanation:
Let us assume the cost of 1 pound salmon = $ m
So the cost of 1 pound of 1 pound swordfish cat = $ ( m - 0.20)
Now, the Amount of salmon purchased = 2 1/2 pounds
So, the amount of salmon purchased = 2.5 pounds
Cost of buying 2.5 pounds = 2.5 x ( 1 pound cost)
= 2.5 ( m) = $ 2.5 m ...... (1)
Also, the Amount of swordfish purchased = 1 1/4 pounds
So, the amount of swordfish purchased = 1.25 pounds
Cost of buying 1.25 pounds = 1.25 x ( 1 pound cost of swordfish)
= 1.25 ( m - 0.20) = $ 1.25 m - 0.25 .... (2)
Now, the combined cost paid = $ 31.25
⇒Cost of buying (2.5 pounds salmon + 1.25 pounds swordfish) = $ 31.25
or, 2.5 m + 1.25 m - 0.25 = 31.35 (from (1) and (2))
or, 3.75 m = 31.60
or, m = 31.60/3.75 = 8.43
⇒ m = $8.43
So, the cost of 1 pound salmon = m = $8.43
and the cost of 1 pound swordfish = m - 0.20 = $8.43 - 0.20 = $ 8.23
Hence, the combined cost 1 pound of salmon and 1 pound of swordfish = $8.43 + $ 8.23 = $ 16.66