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4vir4ik [10]
3 years ago
12

The _______ form of a quadratic equation is written y = a(x - h)2 + k.

Mathematics
1 answer:
uranmaximum [27]3 years ago
5 0

its wrong

Step-by-step explanation:

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If ΔABC ΔDEC, what is m∠D? A. 40° B. 150° C. 60° D. 80°
Nina [5.8K]
I think that the best answer here would be that A = 40 degrees. 
6 0
2 years ago
What is the vertex of the function?
egoroff_w [7]
<h2>Explanation:</h2><h2></h2>

Here you haven't provided any function, so I'll assume this one:

f(x)=3x^2-18x+33

This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:

V(x,y) \\ \\ \\ x=-\frac{b}{2a} \\ \\ y=f(-\frac{b}{2a}) \\ \\ \\ where: \\ \\ \\ f(x)=ax^2+bx+c \\ \\ \\ So: \\ \\ a=3 \\ \\ b=-18 \\ \\ c=33

Therefore:

x=-\frac{(-18)}{2(3)}=3 \\ \\ f(3)=3(3)^2-18(3)+33=27-54+33=6

Therefore, the vertex is:

\boxed{V(3,6)}

6 0
3 years ago
Completing the square:
vichka [17]

Answer:

Step-by-step explanation:

Key to this method is remembering that

(a+b)^2 = a^2 + 2ab + b^2

So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.

6/2 = 3, so add 3^2 = 9

x^2+6x+9 = (x+3)^2

So, c=9

Similarly, for the other two,

c = (\frac{-34}{2} )^2 = (-17)^2 = 289

You don't really have to worry about the sign, since squaring will always make it positive

(\frac{25}{13}) ^2 = \frac{625}{169}

7 0
3 years ago
A cement walk 3 ft wide is placed around the outside of a rectangular garden plot that is 20ft by 30ft. Find the cost of the wal
Inessa05 [86]

Let us calculate the area of the walk.

Since the width of the walk is 3 feet, and the walk will be placed all the 4 sides,

Length of the plot including walk = 20 + (2 × 3) = 20 + 6 = 26 feet.

Breadth of the plot including walk = 30 + (2 × 3) = 36 feet.

Area of the plot including walk = 26 × 36 square feet.

Area of the plot = 20 × 30 square feet.

Area of the walk = (26 × 36) - (20 × 30)

= 936 - 600

= 336 square feet.

= \frac{336}{3(3)} square yards

= 37.3 square yards

Cost of the walk per square yard = $12.25.

Therefore, total cost of the walk = 12.25 × 37.3 = $456.92.

7 0
3 years ago
Your aunt bought a new car. After three months of car payments she owed a total of $22,275 to the bank for the car loan. After 1
galina1969 [7]
The principal decreases by
  22275 -18900 = 3375
in those 9 months, so the average monthly principal payment is
  3375/9 = 375

Her average payment rate on the principal during this time is $375 per month.
3 0
3 years ago
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