A dilation is a transformation that changes the size but not the shape of a figure. Therefore, the image created by the dilation is not congruent to the pre-image, the original figure; it is similar. Each point of the image is distinguished from those of the pre-image by using a prime symbol.
Answer: 11 muffins
Step-by-step explanation:
Since Maria mixes 1/4 cup white sugar with 2/3 cup brown sugar, this will give us a mixture of:
= 1/4 + 2/3
= 3/12 + 8/12
= 11/12
Ww are then told that she uses 1/12 cup of the mixture to top each muffin. Therefore, the number of muffins that she can top will be:
= 11/12 ÷ 1/12
= 11/12 × 12/1
= 12
She can top 11 muffins.
Answer:
this will help https://www.google.com/search?q=factoring+equations&oq=factoring+equations&aqs=chrome..69i57j0l6j69i61.464j0j7&sourceid=chrome&ie=UTF-8#kpvalbx=_w9Z8XvnVCsq7tgXx3SM51
Step-by-step explanation:
its in the video https://www.google.com/search?q=factoring+equations&oq=factoring+equations&aqs=chrome..69i57j0l6j69i61.464j0j7&sourceid=chrome&ie=UTF-8#kpvalbx=_w9Z8XvnVCsq7tgXx3SM51
The answer is y=-3/4+5 because y=mx+b
m:slope
(x,y):any point on the line
(0,b): y-intercept of the line
Length (L): w + 3 ⇒2(w + 3)
width (w): w ⇒ w - 1
Area (A) = L x w
A = (w + 3)(w)
A = w² + 3w
*******************************************
A + 176 = 2(w + 3)(w - 1)
(w² + 3w) + 176 = 2(w + 3)(w - 1)
w² + 3w + 176 = 2w² + 4w - 6
3w + 176 = w² + 4w - 6
176 = w² + w - 6
0 = w² + w - 182
0 = (w - 13) (w + 14)
0 = w - 13 0 = w + 14
w = 13 w = -14
Since width cannot be negative, disregard -14
w = 13
Length (L): w + 3 = (13) + 3 = 16
Answer: width = 13 in, length = 16 in
