Answer: 2x-1/4
Step-by-step explanation: Simplify the expression.
Hope this help you out.
The coordinates of the image after a dilation with respect to the origin is A'' (2,10), B" (0,4), C" (4,2) .
<h3>How does dilation work?</h3>
Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.
Its also called scaling of a figure, but due to the involvement of coordinates, it involves a center of a dilation, which is like a pinned point that stays at the same place after dilation.
Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).
The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1).
A' = 2(2.5) = (4,10)
B' = 2(1,2) = (2,4)
C' = 2(3,1) = (6,2)
Translation of 2 units left means change in x
A'' = (4-2,10) = (2,10)
B" = (2-2,4) = (0,4)
C" = (6-2,2) = (4,2)
Translation of 1 units up means change in y
Learn more about vertices ;
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Answer:
x^2+4x-4
Step-by-step explanation:
4x+1+x^2-5
x^2+4x-4
Answer: 4/15 of the movie
Step-by-step explanation:
In the morning, Charlie watched ¹/₃ of a movie. He then watched some more at night.
At the end of the day, he still had ²/₅ of the movie to watch.
The proportions of an item must always add up to one. This means that if you added the 1/3 to the 2/5 and then to the fraction Charlie watch at night, they should add up to one.
¹/₃ + ²/₅ + x = 1
x = 1 - ¹/₃ - ²/₅
Answer:
He must charge minimum £0.84 for one hot dog.
Step-by-step explanation:
Ingredients cost for hot dogs at the supermarket,
Price of dog sausages tin of 8 = 50p ≈ £0.5
Price of dog bun packs of 6 = 90p ≈ £0.90
Number of tins required for 150 hot dogs = = 6.25
So student will purchase 7 tins.
Cost of 7 tins = 7 × 0.5
= £3.5
Number of dog buns packets required = = 25
Cost of 25 packs = 25 × 0.9
= £22.5
Total cost of the material used for 150 buns = 22.5 + 3.5
= £26.0
Let the selling price of each hot dog = £x
Then selling price of 150 hot dogs = £150x
Students wants the profit = £100
So, Selling price - Cost price = profit
150x - 26 = 100
150x = 126
x =
x = £0.84
Therefore, he must charge minimum £0.84 for one hot dog.