Tom = x
steve = 2x + 17
x + 2x + 17 would then simplify to 3x + 17
104 = 3x + 17
87 = 3x
29 = x
then substitute x into tom and steve
steve = 75 tickets
tom = 29 tickets
i think...
19) 67x²+115x+48
20) (w+8)²
21) (d+11)²
22) (r+7)(r-7)
Explanation:
19) The area of the ceiling is given by (10x+9)(7x+7). Multiplying we have:
10x*7x+7*10x+9*7x+9*7
=70x²+70x+63x+63
=70x²+133x+63
The area of the skylight is given by (x+5)(3x+3). Multiplying we have:
x*3x+3*x+5*3x+5*3
=3x²+3x+15x+15
=3x²+18x+15
To find the remaining area of the ceiling we subtract:
(70x²+133x+63)-(3x²+18x+15)
=70x²+133x+63-3x²-18x-15
=67x²+115x+48
20) To factor, we want to find factors of c, 64, that sum to b, 16. 8*8=64 and 8+8=16; therefore we have:
(w+8)(w+8)
Since this is the same binomial twice, we write it as (w+8)²
21) Again we look for factors of c, 121, that sum to b, 22. 11*11=121 and 11+11=22, so:
(d+11)(d+11)
Since this is the same binomial twice, we have (d+11)²
22) Factors of -49 that sum to 0 (there is no r term, just r²): -7*7=-49 and -7+7=0, so:
(r-7)(r+7)
Https://us-static.z-dn.net/files/d28/08b2d5bd293988d03f6efb93f4245e7d.jpeg
2y - 4x = 5.....add 4x to both sides
2y = 4x + 5....divide both sides by 2
y = 2x + 5/2 <==
Answer:
Every point is moved so that it is 2/3 as far from the y-axis
Step-by-step explanation:
Translation and reflection are "rigid" motions. They do not change the size or shape of the figure, so the resulting figure will be congruent with the original.
Dilation by a factor of 2/3 changes the size, so will not result in a congruent figure.
_____
Here the dilation is in <em>the x-direction only</em>. It is not a transformation we usually are interested in.