Answer:
.4
Step-by-step explanation:
1.
The first transformation, the translation 4 units down, can be described with the following symbols:
(x, y) → (x, y-4).
as the points are shifted 4 units vertically, down. Thus the x-coordinates of the points do not change.
A'(1, 1) → A"(1, 1-4)=A"(1, -3).
B'(2, 3) → B"(2, 3-4)=B"(2, -1).
C'(5, 0) → C"(5, 0-4)=C"(5, -4).
2.
The second transformation can be described with:
(x, y) → (x, -y).
as a reflection with respect to the x-axis maps:
for example, (5, -7) to (5, 7), or (-3, -4) to (-3, 4)
thus, under this transformation A", B", C" are mapped to A', B' and C' as follows:
A"(1, -3)→A'(1, -(-3))=A'(1, 3)
B"(2, -1)→B'(2, -(-1))=B'(2, 1)
C"(5, -4)→C'(5, -(-4))=C'(5, 4)
Answer:
A'(1, 3), B'(2, 1), C'(5, 4)
Answer:
The answer is AC = 3.76
Step-by-step explanation:
CohCahToa
Coh: sin(theta) = Opp/Hyp
sin(theta°) = AC/AB
sin(70°) = AC/4
AC = 4*sin(70°)
AC ≈ 3.758770483
AC = 3.76
Answer:
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Conversion a mixed number 2 1/
3
to a improper fraction: 2 1/3 = 2 1/
3
= 2 · 3 + 1/
3
= 6 + 1/
3
= 7/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds
Subtract: 5/
3
- 7/
3
= 5 - 7/
3
= -2/
3
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 3) = 3. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 3 = 9. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - five thirds minus seven thirds = minus two thirds.
