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3 years ago

The standard form of the equation of a parabola is x = y2 - 4y + 20.

Mathematics

2 answers:

Sliva [168]3 years ago

8 0

Answer:

The correct option is B.

Step-by-step explanation:

The given equation is

$x=y^2-4y+20$

It can be written as

$x=(y^2-4y)+20$

Add and subtract $(-\frac{b}{2a})^2$ in the parenthesis.

$(-\frac{b}{2a})^2=(\frac{-4}{2(1)})^2=(-2)^2=4$

Add and subtract 4 in the parentheses.

$x=(y^2-4y+4-4)+20$

$x=(y^2-4y+4)-4+20$

$x=(y+2)^2+16$

Therefore option B is correct.

grandymaker [24]3 years ago

5 0

If you would like to find the vertex form of the equation, you can calculate this using the following steps:

x = y^2 - 4 * y + 20
x = (y - 2)^2 - 4 + 20
x = (y - 2)^2 + 16

The correct result would be B. x = (y - 2)^2 + 16.

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In a set of 25 aluminum castings, four castings are defective (D), and the remaining twenty-one are good (G). A quality control

lianna [129]

Answer:

The sample space for selecting the group to test contains 2,300 elementary events.

Step-by-step explanation:

There are a total of N = 25 aluminum castings.

Of these 25 aluminum castings, n₁ = 4 castings are defective (D) and n₂ = 21 are good (G).

It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!(n-k)!}$

Compute the number of samples that are possible as follows:

${25\choose 3}=\frac{25!}{3!\times (25-3)!}$

$=\frac{25\times 24\times 23\times 22!}{3!\times 22!}\\\\=\frac{25\times 24\times 23}{3\times 2\times 1}\\\\=2300$

The sample space for selecting the group to test contains 2,300 elementary events.

6 0

3 years ago

PLEASE FOR 100 POINTS!!! PLEASE!!!

tiny-mole [99]

Answer:

$\Large \boxed{\sf 956.56 \ mm^2}$

Step-by-step explanation:

Surface area → area of 2 bases + area of 6 rectangles

Area of base is given

Area of rectangle → length × width

$\left(2\cdot 166.28\right)+\left(8\cdot 13\cdot 6\right)=956.56$

3 0

2 years ago

Read 2 more answers

Which choice number is the answer?

Luden [163]

The answer will be (2) 0 and 9
X^2(x-9)
X=0, and 9

3 0

3 years ago

if trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A’lie

maria [59]

Answer:

Answer: (second option) (-4,1)

Step-by-step explanation:

Transformations of Points and Shapes

The image shows a trapezoid ABCD where point A has coordinates (-4,1).

The following transformations are performed:

Reflection over the y-axis: If a point (x,y) is reflected over the y-axis, it becomes (-x,y). Thus point A becomes A'=(4,1)

Reflection over the x-axis: If a point (x,y) is reflected over the x-axis, it becomes (x,-y). Thus point A' becomes A''=(4,-1)

Rotation 180°: If a point (x,y) is rotated 180°, it becomes (-x,-y). Thus point A'' becomes A'''=(-4,1)

Answer: (second option) (-4,1)

5 0

2 years ago

Base:9.44 area=70.8 WHAT IS THE HIEGHT

Harlamova29_29 [7]

Divide

a = b * h
we know the base and area, not height

h = a/b
h = 70.8/9.44
h = 7.5

Your height is 7.5 units

6 0

3 years ago