1.) C
2.) A
3.) B
4.) C
5.) idk
6.) A
7a.) non proportional because the line does not pass through the origin (0,0)
7b.) The slope is -2x
7c.) The y-intercept of the line is -3.
7d.) The equation of the line is y = -2x - 3
9514 1404 393
Answer:
Step-by-step explanation:
The line representing Murphy street goes through point (0, 3) and has a slope of 2/1 = 2. Its equation is then ...
y = mx + b
y = 2x +3
The translation vector transforms this equation* by adding -1 to y, and replacing x with x-1.
y = (2(x-1)) +3) -1
y = 2x -2 +3 -1 . . . . eliminate parentheses
y = 2x . . . . . . . . . . . the equation for Nolan street
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Of course, adding (1, -1) to the point (0, 3) moves it to ...
(1, -1) +(0, 3) = (0+1, -1+3) = (1, 2)
The image of (0, 3) is (1, 2).
_____
* f(x) is translated by (a, b) this way: g(x) = f(x-a) +b. Here, f(x) = 2x+3 is translated to f(x-1)+(-1) = (2(x-1) +3) -1.
Ok so first, you put the sides into a ratio. The question says that triangle GKNM is congruent to triangle VRPT. From this, we know that side GK is congruent to VR. So, we write that as a ratio. Also, we know that KN is congruent to RP. We also write that as a ratio. Then, using equations, we solve for x. But, we aren't done yet; the expression for side KN is 3x-2 and, we already know that x is equal to 4.4
So, we do 3*4.4-2 which is 11.2. Therefore, side KN is equal to 11./2Then, the expression for side RP is x+4. We already know that x is equal to 4.4. So, we do 4.4+4 which is 8.4. Therefore, side RP is equal to 8.4.
Oh, and the scale factor is 4:3 or 1.33 because you do 8.4/6.3 ( you can also do 11.2/8.4)
hope this helps ;)