yes
A rational number is a number which can be expressed in the form
where a and b are integers
now 2. 34 = 2
=
→ a rational number
The measure of the angle ∠PQR is 90 degrees
<h3>How to prove that ∠PQR is 90 degrees?</h3>
The equation of the line PQ is given as:
3x - y - 2 = 0
The coordinates of the QR are given as:
(0, -2) and (6, -4)
Make y the subject in 3x - y - 2 = 0
y = 3x - 2
The slope of the above line is
m1 = 3
Next, we calculate the slope (m2) of points Q and R.
So, we have:
m2 = (y2- y1)/(x2 - x1)
This gives
m2 = (-4 + 2)/(6 - 0)
Evaluate
m2 = -1/3
The slopes of perpendicular lines are opposite reciprocals.
m1 = 3 and m2 = -1/3 are opposite reciprocals.
This means the lines PQ and QR are perpendicular lines.
The angle at the point of perpendicularity is 90 degrees
Hence, the measure of the angle ∠PQR is 90 degrees
Read more about linear equations at:
brainly.com/question/15602982
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V(x) = (2x - 3)/(5x + 4) The domain is all Real numbers except x = -4/5, because if x = -4/5 the denominator would be zero and you cannot divide by zero.{x | x ∈ R, x ≠ -4/5} w(x) = (5x + 4)/(2x - 3)similarly, x ≠ 3/2so, {x| x ∈ R, x ≠ 3/2}
Let A be number of adult tickets brought
Let S be number of senior citizen tickets brought
8492 = 22A + 12S (1)
A = 556 - S (2)
Plug (2) into (1)
8492 = 22(556 - S) + 12S
8492 = 12232 - 22S + 12S
8492 - 12232 = -22S + 12S
-3740 = -10S
-3740/10 = -10S/-10
374 = S
S = 374
Note that there are several more steps you can take to check the answer and/or find A.