The width would be 236 and the lengths would be 118
Use the equations 2L+W=472 and W*L=MAX
Change the first equation to W=472-2L and plug this into the other equation
(472-2L)(L)=MAX
472L-2L^2=M (take derivative)
472-4L=0 (set to 0 to find the max value)
4L=472
L=118
Plug into original to get W=236
Hope this helps!
Answer:
x = -3
Step-by-step explanation:
Answer:
f(x) is reflected over the x-axis and vertically scaled by a factor of 3
Step-by-step explanation:
If you compare the two functions, you see that ...
g(x) = -3f(x)
Multiplication by -1 effects a reflection over the x-axis. (All y-values are transformed to their opposite.)
Multiplication by 3 is a vertical scaling by a factor of 3.
Taken together, f(x) is reflected over the x-axis and vertically scaled by a factor of 3.
Answer:
Step-by-step explanation:
6)For question 6 you have the right idea but as the new image is bigger than the pre-image the scale factor would be 3/1
7)You have the right answer but the fraction can be simplified to 2
8)I think this question is asking for the angle in the triangle on the left that is the same as the one on the right so from left to right,
F=R G=S H=T
FG=RS GH=ST FH=RT
9)The scale facto for the longest edge here is 2 but the scale factor for the shortest edge is 18/8 which is equal to 9/4 so the are not congruent as they have two different scale factors. Answer) no
10) the triangles are similar as angle a=n and 55+35+90 = 180 so yes they are similar
Hope this helps :)
Using the table, you are looking at a ratio of 9 Dimes to 6 nickels or 9:6 which can be simplified by dividing each by three (a number they are both divisible by without going into decimals) to get a ratio of 3 dimes for every 2 nickels she has, or 3:2
