Answer:
y = 2
x = 5
Step-by-step explanation:
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×4 |
12x + 15y = 30
12x - 12y = 84
____________--
27y = -54
y = -54/27
y = 2
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×5 |
12x + 15y = 30
15x - 15y = 105
____________+
27x = 135
x = 135/27
x = 5
Answer:
7
Step-by-step explanation:
f(x)=
If f(24), x=24
24-8=16
=4
4+3=7
Answer:
6m- 22
Step-by-step explanation:
Answer:
1760 Hz
Explanation:
The equation for the displacement has the following general formula:
d = A sin(wt)
where:
A is the amplitude
w is the angular frequency
the given equation is:
d = 0.6 sin(3520πt)
We can note that:
w = 3520 π rad/sec
Now,
w = 2πf where f is the frequency
Therefore:
3520π = 2π*frequency
This means that:
frequency = 1760 Hz
Hope this helps :)
Answer:
y = 52
x = 30
Step-by-step explanation:
Hi!
Y is a vertical angle. See <DOB? That's it's vertical pair. So, y = 2x - 8 [vertical angles are congruent].
Now, to find y, we need x. We can find x by using the fact that AB is a straight line. The angles on a straight line add up to 90.
Given the fact that <AOB is 90 degrees, <EOB also has to be 90 degrees.
So, EOB = 90 degrees. Remember that an angle is equal to the sum of the measures of the angles that it is made of.
EOB is therefore equal to <EOD + <DOB.
90 = <EOD + DOB
90 = (x +8) + (2x-8)
90 = 3x
x = 30
Check:
38 + 52 = 90.
So, x = 30
Now, we go back to find y.
y = 2x-8
y = 52
