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).
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* 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.
Answer:
k = 4
Step-by-step explanation:
Answer:
<h2>0.75(3/4) part of the room</h2>
Step-by-step explanation:
Step one:
given data
we can express the given data mathematically as
John can paint 0.5room in 2/3 hours
let the part of the room he can paint in an hour be x
so
if he takes 2/3 hours to paint 0.5 room
then he will take 1 hour to paint x
cross multiply we have
x= 0.5/2/3
x=0.5*3/2
x= 1.5/2
x=0.75 part of the room
75/100= 15/20=3/4 part
The answer is 126in^2. The formula for calculating trapezoid is A=a+b/2(h). Area=base 1+base 2 divided by 2 times height. Base 1 is 12in. Base 2 is 2in+2in+12in=16in. And the height is 9in. So 12in+16in=28in. 28in/2=14in. 14in(9in)=126in^2.
**Note ^ before a number tells someone the number after it will be an exponent**
