Answer:
f(x) = -8
Step-by-step explanation:
f(x) = x² + 2x – 8
f(x) = (-2)² + 2(-2) – 8
f(x) = (-2)² + 2(-2) – 8
f(x) = 4 + (-4) – 8
f(x) = 4 – 4 – 8
f(x) = 0 – 8
f(x) = -8
I hope this helps
Answer:
Step-by-step explanation:
To find the area of a semicircle the formula is
The square
(rectangle)
(triangle)
Answer:
Answer: 9 (y - 2) (y + 2)
Step-by-step explanation:
Factor the following:
9 y^2 - 36
Factor 9 out of 9 y^2 - 36:
9 (y^2 - 4)
y^2 - 4 = y^2 - 2^2:
9 (y^2 - 2^2)
Factor the difference of two squares. y^2 - 2^2 = (y - 2) (y + 2):
Answer: 9 (y - 2) (y + 2)
To answer this, you can set up a system of equations. Solve for one of the variables and substitute this new equation into the 2nd equation.
2x + 5y = 243 - I'll solve this one for x.
8x + 6y = 538
2x + 5y = 243
2x = 243 - 5y
2 2
x = 121.5 - 2.5y ; substitute this in for x in the second equation
8x + 6y = 538
8 (121.5 - 2.5y) + 6y = 538
972 - 20y + 6y = 538
972 - 14y = 538
-972 -972
-14y = -434
-14 -14
y = 31
<u><em>The cost of a rod (y) is $31. </em></u>
x = 121.5 - 2.5y
x = 121.5 - 2.5 x 31
x = 44
<em><u>The cost of a reel(x) is $44.</u></em>
Answer:
Step-by-step explanation:
Vertices of the given quadrilateral are A(-4, 3), B(2, -1), C(2, -5) and D(-4, -1)
Since, slope of a line passing through two points 
and 
is given by,
Slope = 
Slope of AB = 
= 
Slope of AD = 
= Not defined (Parallel to y-axis)
Slope of DC = 
=
Slope of BC = 
= Not defined (Parallel to y-axis)
Slope of AB = slope of DC =
Slope of BC = slope of AD = Not defined (parallel to y-axis)
As per property of a parallelogram,
"Opposite sides of a parallelogram are parallel and equal in measure"
Therefore, ABCD is a parallelogram.
