Answer:
y = -3/(x-4) - 2
Step-by-step explanation:
3*y(x) vertically stretches <em>y</em> by a factor 3
-y(x) reflects <em>y</em> over x-axis
y(x-4) translates <em>y</em> 4 units to the right
y(x) - 2 translates <em>y</em> 2 units down
Applied the transformations we get:
y(x) = 1/x → 3/x → -3/x → -3/(x-4) → -3/(x-4) - 2
Answer:
x = 29
Step-by-step explanation:
Given that both triangles are congruent to each other, therefore, their corresponding angles are congruent as well. This means all three angles in one is the same as all three corresponding angles of the other.
Therefore:
m<CAB = m<CDE = 74°
m<ABC = 2x (given)
m<BCA = 48° (given)
Thus:
m<CAB + m<ABC + m<BCA = 180° (sum of triangle)
Substitute
74 + 2x + 48 = 180
Add like terms
2x + 122 = 180
2x + 122 - 122 = 180 - 122
2x = 58
2x/2 = 58/2
x = 29
7 3/10 + 6 1/3 + 2 7/10
First change them to improper fractions
73/10 + 19/3 + 27/10
now find the common denominator which would be 30
73/10 = 219 /30
19/3 = 190/30
27/10 = 81 /30
now add (219 + 190 + 81) = 490/30
now divide 490 ÷ 30 = 16 1/3
Your answer is 16 1/3
Hope this helps. :)