Answer:
it is
Step-by-step explanation:
0.75. or that's at least what Google told me
Answer:
d = 233.23 feet
Step-by-step explanation:
Given that,
Justin walks 200 feet to the east, then turns and walks 120 feet due south.
We need to find the total distance walked by Justin. Let the distance be d.
We can use the Pythagoras theorem to find it such that,
So, he walk 233.23 feet in all.
Canton: 7,720 and increases at a rate of 80 people per year.
Holly Spring: 3,200 and increases at rate of 120 people per year.
Let x be the number of years.
Canton = 7,720 + 80x
Holly Spring = 3,200 + 120x
7,720 + 80x = 3,200 + 120x
80x - 120x = 3,200 - 7720
-40x = -4520
x = -4520 / -40
x = 113
It would take 113 years before the populations are equal.
7,720 + 80x = 3,200 + 120x
7,720 + 80(113) = 3,200 + 120(113)
7,720 + 9,040 = 3,200 + 13,560
16,760 = 16,760
Hey there. To find the answer solve 8^3=512.
Count the rows and columns of each to get C as your answer.
Answer:
Horizontal shift of 4 units to the left.
Vertical translation of 8 units downward.
Step-by-step explanation:
Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:
The vertex form of the quadratic function is y = a(x - h)² + k
Where:
The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).
The axis of symmetry occurs at <em>x = h</em>.
<em>a</em> = determines whether the graph opens up or down, and makes the graph wider or narrower.
<em>h</em> = determines how far left or right the parent function is translated.
<em>k</em> = determines how far up or down the parent function is translated.
Going back to your quadratic function,
y = (x + 4)² - 8
- The vertex occrs at (-4, -8)
- a is assumed to have a value of 1.
- Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.
- Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.
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