This is based on understanding what dilation means in a graph transformation.
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<em>The dilation from first square directly to sixth square will be; (x,y) -> (243, 243)</em>
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- In transformations, dilation of an object involves producing an image of the object that is the same shape but not the same size.
This means that if we want to dilate a square, we will produce a bigger square of a different size.
- We are told one corner of the first square she drew is (2, 2). This means that one side of the square is 2 units as the four sides of a square are equal.
- For the second square, she dilates the first one using (x, y) -> (3x, 3y).
This means the corner that was (2, 2) will now be (3 × 2), (3 × 2) = (6, 6)
- For the third square, it will be; (3 × 6), (3 × 6) = (18, 18)
- For the fourth square, it will be; (3 × 18), (3 × 18) = (54, 54)
- For the fifth square, it will be; (3 × 54), (3 × 54) = (162, 162)
- For the sixth square, it will be; (3 × 162), (3 × 162) = (486, 486)
Since first square was (2, 2), then it means dilation from first square directly to sixth square will be; (x,y) -> (486/2, 486/2)
⇒ (x,y) -> (243, 243)
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An inequality is used to show two values that are different and to show that the two values are unequal.
<h3>What is an Inequality?</h3>
This refers to the mathematical relation that is used to show the comparison between two numbers that are unequal.
We can note that because there is a previous record, for a person to beat the record, he would have to perform better than the record and be faster than the previous record holder.
Therefore, if a record of Amelia was given, this would be used to find the relation between her record and the current record of 37 sit-ups and how many weeks of training would be needed to break the record.
Hence, we can see that the question is incomplete so I gave you a general overview to help you get a better understanding.
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Hello!
Let 'a' stand for adult tickets and 'c' for children tickets.
a + c = 15
(Both adult and children tickets make up a total of 15 tickets).
30a + 20c = 330
a = 3
c = 12
A N S W E R:
William bought 3 adults tickets and 12 children's tickets.
Answer:
Check explanations
Step-by-step explanation:
For all real numbers a,b, and c, the distributive property states that:
For Part A, we have
Or
For Part B, we have
-4(3x-10)+5(2-6x)=-4*3x--4*10+5*2-5*6x
This simplifies to:
-4(3x-10)+5(2-6x)=-12x+40+10-30x
-4(3x-10)+5(2-6x)=-12x-30x+40+10
-4(3x-10)+5(2-6x)=-42x+50
For the C part, we have:
For Part D, we have:
We simplify to get:
Simplify further to get:
The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given that a = 8.6 in, b = 13.9 in. and c = 16.5 in. Using cosine rule:
c² = a² + b² - 2abcosC
16.5² = 8.6² + 13.9² - 2(8.6)(13.9) * cosC
C = 91.2°
Also:
a² = b² + c² - 2bccosA
8.6² = 16.5² + 13.9² - 2(16.5)(13.9) * cosA
A = 31.4°
A + B + C = 180° (angles in a triangle)
31.4 + B + 91.2 = 180
B = 57.4°
The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°
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