Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:
- The vertex of the graph is (h,k).
- The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
- The value of <em>h</em> determines how far left or right the parent function is translated.
- The value of<em> k</em> determines how far up or down the parent function is translated.
The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.
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Answer:
- 740 meters of fence
- 22,000 square meters
Step-by-step explanation:
Two of the sides total 150 +220 = 370 meters. The other two sides are the same lengths, so the sum of lengths of the four sides is ...
2·370 m = 740 m . . . . . length of fence needed
__
The area of a parallelogram is the product of base and height.
A = bh = (220 m)(100 m) = 22,000 m^2 . . . . area the fence encloses
Answer:
90 units²
Step-by-step explanation:
The rectangular figure is 10 units wide (from -4 to +6) and 9 units high (from -4 to +5), so its area is 10·9 = 90 square units.
<em><u>Option E</u></em>
<em><u>The expression show how much pizza Marcus ate in total is:</u></em>
<em><u>Solution:</u></em>
Given that,
Marcus ate half of a pizza on Monday night
He then ate one third of the remaining pizza on Tuesday
Therefore,
Remaining is given as:
He then ate one third of the remaining pizza on Tuesday
Therefore,
<em><u>Thus expressions show how much pizza Marcus ate in total is:</u></em>
Total = monday night + tuesday
Thus Option E is correct
Answer:
∅ = 50°
Step-by-step explanation:
YOU NEED A CALCULATOR TO SOLVE THIS!
You need to use Law of Sines
Here you will be doing 
a and c are the lengths, while A and C are the angles
you want to get the denominators out from underneath so multiply both sides by sinA and sin43
Now you want to get sinA alone so divide both sides by 2.54
now get A alone
put that into the calculator
