Answer:
(1,0)
Step-by-step explanation:
y>-3x +3
y≥ 2x-2
If we plot these two inequalities, we can see where the lines intersect, See attached graph.
They intersect at (1,0)
We can also do this mathematically:
y>-3x +3
<u>- (y≥ 2x-2)</u>
0 -5x + 5
5x 5
x 1
If x = 1:
y≥ 2x-2
y≥ 2(1)-2
y≥ 0
(x,y) = (1,0)
Recall that
cos(A + B) = cos(A) cos(B) - sin(A) sin(B)
sin(A + B) = sin(A) cos(B) + cos(A) sin(B)
By definition of cotangent,
cot(A + B) = 1 / tan(A + B) = cos(A + B) / sin(A + B)
and by applying the identities above,
cot(A + B) = (cos(A) cos(B) - sin(A) sin(B)) / (sin(A) cos(B) + cos(A) sin(B))
Now, multiply the expression on the right by 1/(sin(A) sin(B)) to get
cot(A + B) = (cot(A) cot(B) - 1) / (cot(B) + cot(A))
Given tan(A) = 1/4 and tan(B) = 1/5, we have cot(A) = 4 and cot(B) = 5, so that
cot(A + B) = (4×5 - 1) / (5 + 4) = 19/9
They will have the same amount of money saved in 4 days
Answer:
The length of feet in each section is 4 4/8 which is then reduced to 4 1/2
Step-by-step explanation:
In order to get the answer, you will divided 36 by 8. When you divide, you then get 4 4/8 which is then reduced to 4 1/2. Hope this helps! :)
<h2>
CloutAnswers</h2>
Answer:
Step-by-step explanation:
Let the number is x.
<u>Use the following equation to find x:</u>
- 3/8x - 1 = 5
- 3/8x = 6
- x = 6*8/3
- x = 16