Answer:
y = 55
Step-by-step explanation:
The sum of the angles of a triangle are 180
40 + y+30 + y = 180
Combine like terms
70 +2y = 180
Subtract 70 from each side
2y = 180-70
2y = 110
Divide each side by 2
2y/2 = 110/2
y = 55
Answer: 4 units down
Step-by-step explanation:
When we have the function f(x) = y.
for a positive and real number A, the translation f(x - A) = y will translate our graph by A units to the right, if A is negative, then the graph will be translated to the left.
Now if we have y = f(x) + A, the translation will be of A units up if A is positive and A units down if A is negative.
In this case we have:
y = f(x) = IxI
and the translation is:
y = IxI - 4 = f(x) + (-4)
so A = -4
this means that we have a translation of 4 units down.
Answer:
16.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Let's calculate time for building and testing:</u>
- 5*4 + 15*6 = 110 < 120, yes
- 5*4 + 15*4 = 80 < 100, yes
<u>In general you would need to solve inequalities below:</u>
and
<u>Simplified, we have the system:</u>