Which quadratic expression is in vertex form?

Answer:

VW = 31

WX = 19

YW = [tex]\sqrt{1322}[/tex]

ZX = ([tex]\sqrt{1322}[/tex]) / 2

VX = [tex]\sqrt{1322}[/tex]

Step-by-step explanation:

[tex]YW^{2}[/tex] = [tex]19^{2}[/tex] + [tex]31^{2}[/tex]

[tex]19^{2}[/tex] + [tex]31^{2}[/tex] = 1322

ZX = YW/2 = VX/2

 Measures of the different sides of the rectangle will be,

YX = 31 units

WX = 19 units

VW = 36.36 units

ZX = 18.18 units

VX = 36.36 units

Quadrilateral VWXY is a rectangle.

Properties of a rectangle,

YX = VW = 31 units

VY = WX = 19 units

By applying Pythagoras Theorem in right triangle ΔWXY,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(WY)² = (WX)² + (XY)²

YW = [tex]\sqrt{19^2+31^2}[/tex]

      = [tex]\sqrt{1322}[/tex]

      = 36.36 units

ZX = [tex]\frac{1}{2}(YW)[/tex]

     = [tex]\frac{1}{2}(36.36)[/tex]

     = 18.18 units

VX = YW = 36.36 units

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Answer:

diameter

Step-by-step explanation:

BD is the diameter of the circle.

Answer:

a basketball card generally increases in value over time (second one)

Step-by-step explanation:

1. it doesn't always increase

3.No it would be around 0.75

4.No it would be around $5.50 I think

Answer: i would say 30 + 20 - 10 - 20 - 0

sorry if i am wrong

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

22 + 2|/2

Step-by-step explanation:

24 - 4|/2 + 6|/2 - |/4

24 + 2|/2 - 2

24 - 2 + 2|/2

22 + 2|/2

note: |/ means root

couldn't find a sign for root so just makeshift with that

hope it helps.

Answer:

$356

Step-by-step explanation:

To solve this problem, use this: (200 * 3.78) - (200 * 2)

(200 * 3.78) - (200 * 2)

200 * 3.78 is the same as 2 * 378, which is 756.

756 - (200 * 2)

200 * 2 is the same as 4 * 100, which is 400.

756 - 400

Subtract 400 from 756 to get 356.

356

If they brought the pizza last week, the school could have saved $356.

Answer:

114°

Step-by-step explanation:

[tex]? = \frac{1}{2} (53 \degree + 175 \degree) \\ \\ ? = \frac{1}{2} \times 228 \degree\\ \\ ? = 114 \degree[/tex]

Answer:

Step-by-step explanation:

The angle is between 3pi/2 and 2pi so it is in the fourth quadrant where both sin and tan are negative.

Given cos(θ) = sqrt(2)/2

cos^2(θ) + sin^2(θ) = 1

sine^2(θ) = 1 - 2/2^2 = 1 - 1/2 = 1/2

sin(θ) = +/1 sqrt(2)/2

As we know sin(θ) is negative,

sin(θ) =  -sqrt(2)/2; the second answer

tan(θ) = sin(θ)/cos(θ) = -1

Answer:

Step-by-step explanation:

using (cosθ)^2 + (sinθ)^2 = 1

2/4 + (sinθ)^2 = 1

sinθ = [tex]\sqrt{2}/2[/tex]

or -[tex]\sqrt{2} /2[/tex]

By C-A-S-T, sinθ is -ve

sinθ = -[tex]\sqrt{2}/2[/tex]

tanθ = sinθ/cosθ = -1

D(2)

C(6)

A(5)

B(4)

https://www.mathsisfun.com/definitions/coefficient.html

Answer:

1 eafbcd 2 12

St  3 \ep-by-step explanation:

Answer:

35%

Step-by-step explanation:

The percent error can be found using the

|Experimental value - Theoretical value| divided by |Theoretical value| and multiplied by 100.

I hope this helps

Here, the experimental probability is 1/4 and theoretical probability is 1/18.Then the percent difference between the theoretical probability and the experimental probability is 56%.

The probability is a measure of chances that an event to take place.

Given that,

red marbles = 3

blue marbles =1

yellow marbles = 2

Then.

theoretical probability of selecting a blue marble followed by a yellow marble is:

P(blue and yellow) = P(blue) x P(yellow) = (1/6) x (2/6) = 1/18

Since the marbles are replaced after each draw, the probability of this event is the same for every draw.

The experimental probability of selecting a blue marble followed by a yellow marble after 40 attempts is:

(3/6) x (2/6) x (40 attempts) = 10

Therefore, the experimental probability is 10/40 = 1/4

The percent difference between the theoretical probability and the experimental probability is:

| (experimental probability - theoretical probability) / theoretical probability | x 100%

= | (1/4 - 1/18) / (1/18) | x 100%

= 0.583 x 100%

= 58.3%

Therefore, the percent difference between the theoretical probability and the experimental probability is approximately 58.3%, which is closest to the option 56%.

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Answer:

30 square ft

Step-by-step explanation:

Find the area of each rectangle and add them together

(2)(5) + (2)(6) + (2)(4) = 30

Answer:

Step-by-step explanation:

There are no real roots and the graph contains point (2,5). Notice it is in vertex form. So there must be a point at x = 2 and y = 5. However, if it is the vertex and it opens upwards, that means it cannot intersect the x axis. So 2 and 4 are the correct answers I believe.

Answer:

D

Step-by-step explanation:

Because the x-coordinate of the vertex is negative, only A or D could be the correct equation for this parabola.  D is correct because its constant (4) matches the y-coordinate of the vertex (-5, 4).

Answer:

y = -(x + 5)2 + 4

Step-by-step explanation:

Answer:

w+8²

p+30÷p²

4(9+y)

Step-by-step explanation:

Answer:

Answers are below.

Step-by-step explanation:

1. [tex]C^{3}[/tex]

2. A + C / 3

Second exercise:

1. w + (8 x 2)

2. 30 + p / p

3. 4 (9 + y)

hope this helps and is right :) p.s. i really need brainliest.

if my answers are wrong, then i am incredibly sorry!

Answer:

60%

Convert fraction (ratio) 15 / 25 Answer: 60%

400

10

7

40

130

(not sure if this helped but yeah)

Answer:

V=120cm³

Step-by-step explanation:

v=12(5)(6)-4(10)(6)

v=120cm³

hope it helps...

have a great day!!

Answer:

B

Step-by-step explanation:

Answer:

my best guess would be B

Step-by-step explanation:

3.61 + 1.23 = 4.48

Answer:

DA MIDDLE LINE. 6

The grade you receive on a test is a discrete random variable with probability mass function

[tex]f_X(x)=P(X=x)=\begin{cases}0.4&\text{for }X=4\text{ (i.e. scoring an A)}\\0.2&\text{for }X=3\text{ (B)}\\0.15&\text{for }X=2\text{ (C)}\\0.25&\text{for }X=1\text{ (D)}\\0&\text{otherwise}\end{cases}[/tex]

where the probability of getting a D is 25% because there are only 4 possible grades, and the probabilities must sum to 1 :

0.4 + 0.2 + 0.15 + 0.25 = 1

The expected test score/GPA is then

[tex]\displaystyle\sum_x x\,f_X(x)=\sum_{x=1}^4 x\,P(X=x)=1\cdot0.25+2\cdot0.15+3\cdot0.2+4\cdot0.4=\boxed{2.75}[/tex]

so your average would fall between a B and a C.

Answer:

The area and yard is 60.

Step-by-step explanation:

15 x 4 = 60

Let me know if that helps!

Answer:

16 pies were neither apple nor peach.

Step-by-step explanation:

8/10, or 4/5 of the 80 apple pies were either apple or peach, which 4/5 of 80 is 64. The remaining pies will be neither apple nor peach. 80 - 64 = 16.

Answer: -(-3)

Step-by-step explanation:

a double negative would equal to a positive :)

Answer:

The value of x = -2

Step-by-step explanation:

Given equation:

2x + 4 = 0

Find:

The value of x

Computation:

We know that given equation 2x + 4 = 0 is a liner equation with only one variable.

So, we can solve this by elimination method

2x + 4 = 0

Step 1 :

Subtract 4 from both side

2x + 4 - 4 = 0 - 4

2x = -4

Divide 2 from both side

2x / 2 = -4 / 2

x = -2

The value of x = -2

Answer:

1,5

Step-by-step explanation:

when reflecting across y-axis it'll be in the same order, but using whatever form that quarter of the coordinate plane is in (e.g. 5,7 ----> -5,7)

Answer:

377/29

Step-by-step explanation:

this is the answer for plato, i took the test btw

For the given value of sin, the value of cosΘ will be 0.73.

A right-angle triangle's sides, angles, and relationship to each other are the subject of the mathematical discipline of trigonometry. The pair ratio of a right-angled triangle is known as the trigonometric ratio.

It is given that, sinΘ= -4√29 / 29

Θ=sin⁻¹(-4√29 / 29)

Θ= -0.74

The value of cosΘ is obtained as,

=cosΘ

=cos( -0.74)

=0.73

Thus, the value of cosΘ will be 0.73.

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Answer:

Step-by-step explanation:

I used a calculator. :)