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
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The simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x + 3
<h3>How to determine the perimeter?</h3>
The side lengths are given as:
2x^2 + 5x + 3, 2 + 2x and 3x - 2
Add these lengths to determine the perimeter (P)
P = 2x^2 + 5x + 3 + 2 + 2x + 3x - 2
Collect like terms
P = 2x^2 + 5x + 2x + 3x + 3 + 2 - 2
Evaluate the like terms
P = 2x^2 + 10x + 3
Hence, the simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x + 3
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A+b is 5+2 which equals 7
c=3 but 7 cannot be divided by 3.
which would be why this cannot be evaluated
Answer:
Step-by-step explanation:
The given trigonometric graph is symmetric about the y-axis.
This means it is a cosine function.
The basic is symmetric about the y-axis and has a y-intercept of 1.
Its range is 
Since the given graph has y-intercept at -1 with the same range, it is the parent cosine function reflected in the x-axis.
Therefore its equation is
Answer:
8
Step-by-step explanation:
2x - 5 > 3 or -4x + 7 < -25
2x < 8. or -4x < -32
x < 4. or. x > 8
