Answer
z= 14
Step-by-step explanation:
4( 2z-3) -5(z-6) =3 *20
8z-12-5z+30=60
3z+18=60
3z=60-18
3z=42
z= 14
9514 1404 393
Answer:
66 m
Step-by-step explanation:
The perimeter is the sum of the measures of <em>all</em> of the sides. There are two side measures that are missing from the diagram.
The missing horizontal measure is ...
17 m - 8 m = 9 m
The missing vertical measure is ...
16m -7 m = 9 m.
If you add these to the sum you already calculated, you will get the correct answer:
48 m + 9 m + 9 m = 66 m . . . perimeter of the figure
_____
If you're paying attention, you see that the sum of the measures of the two shorter horizontal segments is the same as the measure of the longer horizontal segment. Likewise, the sum of the measurements of the two shorter vertical segments is the same as that of the longer vertical segment.
In other words, the perimeter of this (and any) L-shaped figure is the same as the perimeter of a rectangle having the same horizontal and vertical dimensions as the long sides of the figure.
P = 2(17 m +16 m) = 2(33 m) = 66 m
A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so
A dilation of 2 is the mapping (x'',y'')=(2x', 2y')
So
We can rewrite that without the primes and combine the powers of 2.
Let's graph these and see if we're close,
Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}
20, 10 line segments each with 2 ends = 20
Answer:
Option A - 
Step-by-step explanation:
We have given the expression 
We have to find the value of the expression ?
Solution :
Step 1 - Write the expression
Step 2 - Applying symbol rule i.e. multiplication of positive into negative is always negative, 
Step 3 - Solve
Therefore, The value of the expression is
So, Option A is correct.
