Answer:
10x=4
x=4/10
x=2/5
Step-by-step explanation:
Answer:
Equation in square form:
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Extreme value:
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Step-by-step explanation:
We are given

we can complete square

we can use formula


now, we can add and subtract 5^2

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
So, we get equation as
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Extreme values:
we know that this parabola
and vertex of parabola always at extreme values
so, we can compare it with

where
vertex=(h,k)
now, we can compare and find h and k
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we get
h=-5
k=-4
so, extreme value of this equation is

Answer:
30 mins = 0.5 hours
4.5 miles/0.5 hours = your answer
Step-by-step explanation:
Answer:
Pattern B
<h3>
Explain: </h3>
A quadratic relationship is characterized by constant second differences.
<em><u>Pattern A
</u></em>
Sequence: 0, 2, 4, 6
First Differences: 2, 2, 2 . . . . constant indicates a 1st-degree (linear, arithmetic) sequence
__________________________________________________________
<em><u>Pattern B</u></em>
Sequence: 1, 2, 5, 10
First Differences: 1, 3, 5
Second Differences: 2, 2 . . . . constant indicates a 2nd-degree (quadratic) sequence
__________________________________________________________
<em><u>Pattern C</u></em>
Sequence: 1, 3, 9, 27
First Differences: 2, 6, 18
Second Differences: 4, 12 . . . . each set of differences has a common ratio, indicating an exponential (geometric) sequence
__________________________________________________________
Pattern B shows a geometric relationship between step number and dot count.
Answer:the length of each side of the larger square is 6 centimeters.
Step-by-step explanation:
Let x represent the length of each side of the small square.
Let y represent the length of each side of the Large square.
The area of the small square is x^2
The area of the large square is y^2
The combined area of two squares is 45 square centimeters. This means that
x^2 + y^2 = 45 - - - - - - - - - - -1
Each side of one square is twice as long as a side of the other square. This means that
y = 2x
Substituting y = 2x into equation 1, it becomes
x^2 + (2x)^2 = 45
x^2 + 4x^2 = 45
5x^2 = 45
x^2 = 45/5 = 9
x = √9 = 3
Substituting x = 3 into y = 2x, it becomes
y = 2 × 3 = 6 centimeters