I NEED HELP AGAIN! YOU'LL GET BRAINLIEST IF YOU'RE RIGHT!
1 answer:
Answer:
Part A : It is horizontal shift to left by 3 units and vertical shift upward 4 units That is your rule for the 1st one
Problem Statement
The question asks us to write out the rule for the translation given in Question 1 and 2.
Part B: The translation for the second image is x shifts right by 1 unit and y shifts upwards by 8 units
Step-by-step explanation:
To solve the question, we need to simply consider just one vertex of the figures given. The figures doesn't change shape or size, that is why we can consider just one vertex.
- Considering vertex D with coordinate (-5, -3) and its image D' with coordinate (4, 5).
- To know the rule, we simply look at the transformation formula
where, M and N are the translation magnitude
Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized.
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Answer:
Step-by-step explanation:
A diameter is two times longer than a radius. Therefore, if the diameter
d = 24in, then the radius r = (24in) : 2 = 12in.
The formula of an area of a circle:
Substitute:
Then
Answer:
- <u>a) degree 3</u>
- <u>b) 3 times</u>
- <u>c) cubic</u>
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Explanation:
The function that represents the first drop of the roller coaster is:
,
where t is the time in seconds and h is the height in feet.
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<u>a) What is the degree of the function?</u>
The degree of a polynomial is the highest power of the variable, t. Thus, the degree of the function is 3.
<u>b) According to the degree of the function, how many times should the roller coaster hit the ground?</u>
The number of complex roots of a polynomial is equal to the degree of the polynomial. Thus, in this case this polynomial has 3 roots. Each root represents the value of the polynomial that makes it equal to zero, this is:
Thus, since the polynomial function represents the height of the, the value zero represents when the roller coaster hits the ground.
To learn if the three roots are real numbers you can solve the equation, which may be done by factoring the polynomial.
Take t out as common factor:
- t(t² - 12t + 35)
Find two numbers that add up -12 and its product is 35. Those are -7 and -5. Hence, use the factors t - 12 and t - 5:
- t ( t - 12) (t - 5) = 0 This is the factored form of the polynomial
Whose solutions are t =0, t = 12, and t = 5. Three real numbers.
Hence, the roller coaster hits the ground three times: first at start, then at 5 seconds, and finally at 12 seconds.
<u>c) Will the roller coaster be in the form of a linear, quadratic, cubic or quartic graph?</u>
It will be in the form of a cubic graph, becasue a linear graph corresponds to a polynomial of degree 1, a quadratic graph corresponds to a polynomial of degree 2, a cubic graph corresponds to a polynomial of degree 3, and a quartic graph corresponds to a polynomial of degree 4.