Answer:
-1
Step-by-step explanation:
because when y is 2, x is -1
Answer:
The son is 20 and a half years old.
The father is 36 and a half years old.
Step-by-step explanation:
We can solve this easily by turning it into an equation.
Let the mans age be y and the fathers age be x.
y+x=57
x=y+16
We can use the substitution method to solve for the first equation.
y+(y+16)=57
Now we only have one variable to solve for. Add like terms.
2y+16=57
Subtract 16 on both sides.
2y=41
Divide both sides by 2 to isolate y.
y=20.5
Now substitute 20.5 for y to solve for x.
20.5+x=57
Subtract 20.5 from both sides.
x=36.5
<em>The son is 20 and a half years old.</em>
<em>The father is 36 and a half years old.</em>
Hope this helps!
3:4 = 6:8 = 9:12 = 12:16 = 15:20 = 18:24
Answer:
A Pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm, 160 cm and 96 cm but does not resonate at any wavelengths longer than these. This pipe is:
A. closed at both ends
B. open at one end and closed at one end
C. open at both ends.
D. we cannot tell because we do not know the frequency of the sound.
The right choice is:
B. open at one end and closed at one end
.
Step-by-step explanation:
Given:
Length of the pipe,
= 120 cm
Its wavelength
= 480 cm
= 160 cm and
= 96 cm
We have to find whether the pipe is open,closed or open-closed or none.
Note:
- The fundamental wavelength of a pipe which is open at both ends is 2L.
- The fundamental wavelength of a pipe which is closed at one end and open at another end is 4L.
So,
The fundamental wavelength:
⇒ 
It seems that the pipe is open at one end and closed at one end.
Now lets check with the subsequent wavelengths.
For one side open and one side closed pipe:
An odd-integer number of quarter wavelength have to fit into the tube of length L.
⇒
⇒ 
⇒
⇒ 
⇒
⇒ 
⇒
⇒
So the pipe is open at one end and closed at one end
.
The answer is 7i because if you add 4+3i together as an absolute value, it equals to 7 plus the i is 7i