Answer:
B)  x units
 x units
Step-by-step explanation:
Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:
Perimeter of a rectangle = 2 (l + b)
where: l is the length = 12 units and b is the breadth = 8 units. So that:
Perimeter of KMPT = 2 (12 + 8)
                                = 40 units
Dilating KMPT by a scale factor of  would create K'M'P'T' of dimensions;
 would create K'M'P'T' of dimensions;  × 12 units by
 × 12 units by  × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.
 × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.
Perimeter of K'M'P'T' = 2 (l + b)
                                   = 2(9 + 6)
                                   = 30 units
Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be   × perimeter of KMPT.
 × perimeter of KMPT.
Therefore, if the perimeter of KMPT is x units, then;
          perimeter of K'M'P'T' =  * x units
 * x units
                                             =  x units
x units
 
        
             
        
        
        
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as 
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $300
r = 10% = 10/100 = 0.1
n = 2 because it was compounded 2 times in a year(6 months).
t = 3 years
Therefore,
A = 300(1 + 0.1/2)^2 × 3
A = 300(1 + 0.05)^6
A = 300(1.05)^6
A = $402.03
 
        
             
        
        
        
Answer:
View Image
x = π/6, 5π/6, 7π/6, 11π/6
Step-by-step explanation:
The only things you need to know are 2 things:
1.)  , the exponent of trig functions are written in the middle
   , the exponent of trig functions are written in the middle
2.)  , csc() is just the inverse of sin()
   , csc() is just the inverse of sin()
 
        
             
        
        
        
Answer:
y = -2x - 2
Step-by-step explanation:
Given:
m = -2
Slope-intercept:
y - y1 = m(x - x1)
y + 8 = -2(x - 3)
y + 8 = -2x + 6
y = -2x - 2