We use the same double angle identity.
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.
The circumference of a circle is 2
r
2 () 6
12
The area of a circle is r²
(6²)
36
a.
b=cost per burrioto
t=cost per taco
b.
3 burritos and 4 tacos costs 11.33; 3b+4t=11.33
9 burritos and 4 tacos costs 22.07; 9b+4t=22.07
c. solve
3b+4t=11.33
9b+4t=22.07
mulitply irst equation by -1 and add to 2nd to cancel t's
-3b-4t=-11.33
<u>9b+4t=22.07 +</u>
6b+0t=10.74
6b=10.74
divide both sides by 6
b=1.79
subsitute back
3b+4t=11.33
3(1.79)+4t=11.33
5.37+4t=11.33
4t=5.96
divide both sides by 4
t=1.49
solution: 1 taco costs $1.49 and 1 burrito costs $1.79
Evaluate 4 − 0 . 2 5 g + 0 . 5 h 4−0.25g+0.5h4, minus, 0, point, 25, g, plus, 0, point, 5, h when g = 1 0 g=10g, equals, 10 and
abruzzese [7]
Not sure about the weird echo in the question but I think we're being ask to evaluate
4 - 0.25g + 0.5h
when g=10, h=5
That's
4 - 0.25(10) + 0.5(5) = 4 - 2.5 + 2.5 = 4
Answer: 4
