Answer : rotation of 90 counterclockwise° about the origin and then translation 2 unit up.
Explanation : In Δ RST, it is an right triangle with ∠R being the right angle. When we draw this triangle we see that long side of the Δ is close to the origin and the short one is below ∠R.
Now, Δ R'S'T', is also a right triangle. But he long side is parallel to the y axis and ∠S' is now above ∠R' instead of ∠S being to right of ∠R in the original Δ.
which clearly shows that the Δ is rotated at 90 degrees counter clockwise.
On drawing a new Δ; The point R" is at (1,-4), S" at (1,-1), and T" at (2,-4).
All three of these points are 2 units below the points R' S' T'.
We need to translate the triangle 2 units higher.
Therefore, the answer is to perform rotation of 90 counterclockwise° about the origin and then translation 2 unit up.
Answer:
Price of hamburgers = $2
Price of white-dogs = $3
Step-by-step explanation:
Let
The number price of hamburgers be x
The number price of white-dogs be y
Then the first family buys 3 hamburgers and 2 white -dogs for $13
3x + 2y = 13-----------------------------(1)
Another first family buys 2 hamburgers and 5 white -dogs for $16
2x + 5y = 16----------------------------(2)
To solve let us multiply eq(1) by 2 and eq(2) by 3, we get
6x + 4y = 26-----------------------------(3)
6x + 15y = 48----------------------------(4)
subracting (3) from (4)
6x + 15y = 48
6x + 4y = 26
(-)
-------------------------
11y = 22
---------------------------

y =2
Now substituting the value of y in eq(1),
3x + 2(2) = 13
3x + 4 = 13
3x = 13-4
3x = 9
x =
x =3
<span>7n^2 + 8n − 12
= (7n - 6)(n + 2)
cause
</span>(7n - 6)(n + 2)
= 7n^2 - 6n + 14n - 12
= 7n^2 + 8n - 12
answer
<span>D) (7n − 6)(n + 2)</span>
Answer:4/3
4/3
Step-by-step explanation:
A: Circumference is 50.24
B: Area is 200.96
C: It would cost 1306.24$