Answer:

Step-by-step explanation:

Answer:
308cm²
Step-by-step explanation:
Assuming the given unit is in cm
The expression for the area of a regular Octagon is
A=2(1+√2)a²
Given the apothem a = 8cm
Substituting we have
A=2(1+√2)8²
A= 2(1+1.414)64
A= 2(2.414)64
A= 308cm²
Answer:
The equation that matches the table is y = -5x + 7 ⇒ C
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
The rule of the slope is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
From the given table
→ Choose any two points from the table
∵ Points (0, 7) and (1, 2) are in the table
∴ x1 = 0 and y1 = 7
∴ x2 = 1 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m = 
∴ m = -5
→ Substitute it in the form of the equation above
∵ y = -5x + b
∵ b is the value of y at x = 0
∵ At x = 0, y = 7
∴ b = 7
∴ y = -5x + 7
∴ The equation that matches the table is y = -5x + 7
Pq= 10.5, qr=31.5, rs=10.5, sp=31.5
Answer:
the longest side is 25
Step-by-step explanation:
the equation would be x+ x+1 + 7 for the 3 sides of the triangle
x + (x+1) + 7=56
combine like terms
2x+8 = 56
subtract 8 from each side
2x = 48
divide by 2
x = 24
the sides are
x=24
x+1 = 25
7
the longest side is 25