Answer:
Number of coefficients of x: 2 coefficients (-4 and 3)
Number of terms: They're 4 terms. (-4x, -2, + 3x, and -10)
Simplified: - x - 12
Step-by-step explanation:
1) Subtract the numbers.
-4x - 12 + 3x
2) Combine like terms.
- x - 12
Hello!
To graph this, you will want to create two points based off of the equation. You plug an x-value into the equation, and you put the y-value outcome with it as an ordered pair. You do this twice, giving you two points to connect.
For example, let's plug in an x-value 1, giving us (1,y)
y= 1-3 (We remove the absolute value)
y=-2 (Subtract)
This gives us one point, (1,-2)
Let's try using -2 as another point.
y= 2-3 (Remove absolute value)
y= -1 (Subtract)
This gives us the point (-2,-1)
To graph, you would draw a straight line through the points (1,-2) and (-2,-1). Note you could do this with any x-value and you would get the same line.
I hope this helps!
Step-by-step explanation:
25. (+10)-(-6) = 10+6 = 16
26. (-14)-(+7) = -14-7 = -21
27. (-3)-(-9) = -3+9 = 6
28. 0-(-9) = 0+9 = 9
29. (-3)-(+6) = -3-6 = -9
30. (+8)-(-9) = 8+9 = 17
31. (+13)-(+7) = 13-7 = 6
32. (-6)-(-12) = -6+12 = 6
Answer:
The correct answer is 25
Step-by-step explanation:
See the attached figure.
SAS similarity theorem mean that when two triangles have corresponding angles are congruent and corresponding sides with identical ratios the triangles are similar.
So, if ΔONM similar ΔSRQ by the SAS similarity theorem
∴∠N = ∠R
And
given that NM = 10 , NO = 8 , QR = x , RS = 20
∴
∴
So, the value of x will make ONM similar SRQ by the SAS similarity theorem = 25
The 9-sided polygon will have a central angle between the vertex and the center of one side of 360°/(2*9) = 20°. Then the apothem is
a = (6 in/2)*cot(20°) ≈ 8.242432 in
The perimeter is 9*6 in = 54 in, so the area is
A = (1/2)Pa = (1/2)*(54 in)*(8.242432 in) ≈ 222.5 in²
