Hope its right.
1. What you want to do is do is to know 2x is the ratio and x; $140,000 is the 1 brother investment and total is $1,600,000
2. Put them together 2x (140,000 + x + 2x) = 1600,000
3. 280,000 + 2x + 4x = 1600,000
4. 280,000 + 6x = 1600,000
5 1600,000-280,000= 1320,000 /6
6. They each invested $220,000
18. S=r^2-t^2
S+t^2=r^2
r=sqrt(S+t^2)
20. Tan 18=x/12
x=12×Tan 18
x=3.899036355
x=3.90
I hope this helps.
Answer:
Amplitude:2, period:0.9 and phase shift:7
Step-by-step explanation:
In a function with the form y=Asin(Bx+c)+D, and given the function f(x) = –2sin (7x + 7), we get that:
A is the amplitude: 2
Period is given by 2pi/B, so 2pi/7=0.9
Phase shift is c: 7
Answer:
The correct answer is the first option: (5, -2) (3, 1) (-4, 2)
Step-by-step explanation:
Given the following systems of linear inequalities:
y ≥ -1/2x and y < 1/2x + 1:
Plugging in the values of (5, -2) (3, 1) (-4, 2) into the given systems of linear inequalities provides a true statement:
y ≥ -1/2x:
(5, -2): y ≥ -1/2x
-2 ≥ -1/2(5)
-2 ≥ -2.5 True statement.
(5, -2): y < 1/2x + 1
-2 < 1/2(5) + 1
-2 < 3.5 True statement.
(3, 1): y ≥ -1/2x
3 ≥ -1/2( 1 )
3 ≥ -1/2 True statement.
(3, 1): y < 1/2x + 1
1 < 1/2(3) + 1
1 < 2.5 True statement.
(-4, 2): y ≥ -1/2x
2 ≥ -1/2(-4)
2 ≥ 2 True statement.
(-4, 2): y < 1/2x + 1
2 < 1/2(-4) + 1
2 < -1 True statement.
Therefore, (5, -2) (3, 1) (-4, 2) are the solutions to the systems of linear inequalities.