Answer:
y = -3x
Step-by-step explanation:
(a) Slope
y = mx + b
Choose points (-3, 9) and (3, -9)
m = (-9 - 9)/(3 – (-3))
m = -18/(3 + 3)
m = -18/6
m = -3
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(b) y-intercept
y = mx +b
Choose point (0,0).
0 = 0 + b
b = 0
=====
(c) Equation of line
y = mx + b
y = -3x
Answer:
4 (20) + 6(6) = 120
4(20) + 4 (6) = 100
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations with the information given:
Build time (hours) = 4c + 6a = 120
Test time (hours) = 4c + 4 a = 100
Where c represents the number of child bikes and a represents adult bikes.
So, for 20 child bikes and 6 adult bikes:
4 (20) + 6(6) = 120
4(20) + 4 (6) = 100
Feel free to ask for more if needed or if you did not understand something.
Answer:
x + 3 = 17
Step-by-step explanation:
Answer:
(x + 3)(x - 16)
Step-by-step explanation:
I hope this helps.
Answer:
(4, 5)
Step-by-step explanation:
Dilation by factor d about point (a, b) effects the transformation ...
(x, y) ⇒ d((x, y) -(a, b)) +(a, b)
⇒ (d(x-a) +a, d(y-b) +b)
(x, y) ⇒ (dx +a(1-d), dy +b(1-d))
We have (x, y) = (3, 4) and (a, b) = (1, 2) and d=3/2. Filling in these numbers, we get ...
(3, 4) ⇒ ((3/2)(3)+1(1-3/2), (3/2)(4)+2(1-3/2)) = (9/2 -1/2, 6 -1) = (4, 5)
Point E' is (4, 5).
_____
If you look at the graph, you realize that E is (2, 2) from (1, 2). Dilation by a factor of 3/2 moves it to (3/2)(2, 2) = (3, 3) from (1, 2). So ...
E' = (3+1, 3+2)
E' = (4, 5)