A. 2
b. 0
c. -2
d. 0
f(x) just means that the number in the parentheses is the x-value and if it asks for f(x) it wants the y-value at that x point
Answer:
81x^4+216x^3+216x^2+96x+16
Step-by-step explanation:
Answer:
<h3>Add to eliminate y.</h3>
Step-by-step explanation:
Given the equations
-9x + y = 71.... 1
-x - y = -1 .... 2
Using elimination method we can eliminate y first since they have the same coefficient.
To do that we will need to add up both equations. We are adding because the coefficient of y in both equations has different signs. If they have the same sign, we would have subtracted.
<em>Hence the correct option in this case is to add to eliminate y.</em>
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
#SPJ1
The perimeter is
P = 2w + 2l
the rectangular table is 5 inches longer than the width
P = 2w + 2(w + 5)
now we can use that to solve
P = 2w + 2w + 10
P = 4w + 10
P > 92
10 + 4w > 92
subtract 10 from both sides
4w > 82
Divide both sides by 4
w > 20.5
The width can be greater than or equal to 20.50 inches.
Hope this helps :)
