Answer:
yes, no, no
Step-by-step explanation:
For odd functions : −f(x) = f(−x) for all x
For even functions :f(x) = f(−x) for all x
1) -f(x)= -2x^3 -2x
f(-x) = -2x^3-2x
yes
2 ) f(-x) = 5x^3 -4 ≠ f(x)
no
3 ) f(-x) = -4x -4 ≠ f(x)
no
Let the segment be represented by AB where A(0,0) = 
and B(3/4,9/10) = 
.
The length of the segment drawn by architect can be calculated using distance formula:
AB =
Similarly, Let the actual end points of segment be AC where A(0,0) = and C(30,36) = 
.
The length of the original segment can be calculated using distance formula:
AC =
.
Thus, the actual length is 40 times the length of the segment drawn by the architect.
Thus, the proportion of the model is 1:40
Answer:
Vertical angles
x=25
Step-by-step explanation:
Adjacent angles are angles that are next to each other. Vertical angles are angles that are opposite each other.
In this problem, the angles are opposite each other. Therefore, they are <u>vertical</u> <u>angles.</u>
Since they are vertical angles, they are congruent, or equal. So, we can set them equal to each other and solve for x.
75=4x-25
To solve for x, we have to isolate x. First, move all the constants to the same side, by adding 25 to both sides.
75+25=4x-25+25
75+25=4x
100=4x
Now, 4 and x are being multiplied. To undo this, divide both sides by 4.
100/4=4x/4
100/4=x
25=x
The angles are vertical and x=25
P = 58
L = 2W + 5
58 = 2L + 2W
58 = 2 (2W +5) + 2W
58 = 4W + 10 + 2W
58 = 6W + 10
48 = 6W
8 = W
So length is
L = 2 (8)+5 = 16+5=21
Answer:
b=-65
Step-by-step explanation:
7 = 8x+b
Put in 9 for x
7 = 8(9) + b
Multiply.
7=72 + b
subtract 72 from both sides to get b by itself.
(7-72) = (72-72) + b
Simplify.
-65 = b
