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mina [271]
3 years ago
12

An algebra tile configuration. Outside of the configuration are the following tiles: + x squared, + x, negative x, +, and negati

ve. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 9 tiles are in the Product spot in 5 columns with 5 rows. First row: 1 + x squared, 4 + x. Below the + x squared tile are 4 +x tiles. What constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles? x2 + 8x +
Mathematics
2 answers:
Sindrei [870]3 years ago
5 0

Answer:

16

Step-by-step explanation:

edge

ludmilkaskok [199]3 years ago
4 0

Answer:

16

Step-by-step explanation:

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How do you find the volume of a cylinder when you know the radius and height
lys-0071 [83]

Answer:

Step-by-step explanation:

This is one of those formulas of algebra and geometry that you need to learn.  If you know the radius and the height of a vertical cylinder, then its volume is equal to the (base area) times the (height), which, symbolically, are

V = (base area)(height)

 

Here,

V = πr²· h   where  πr² is the area of the base (which is a circle of radius r) and h is the height of the cylinder.

6 0
3 years ago
A group of 4 friends paid a total of $50.24 for tickets to a museum. Each friend paid the same amount for a ticket. Solve this a
Dmitry_Shevchenko [17]

Answer:

$12.56

Step-by-step explanation:

$50.24 divided by the 4 friends = $12.56

I divided the total cost by the amount of friends who went to the museum and so I did $50.24 divided by the 4 friends = $12.56.

6 0
2 years ago
I need help with easy math please
Ivahew [28]

Answer:

1. 16

2. 12

3. 0

4. 17

5. 16

6. 4

7. 32

8. 36

9. 1/18

Step-by-step explanation:

7 0
3 years ago
In a children’s book, the mean word length is 3.6 letters with a standard deviation of 2.1 letters. In a novel aimed at teenager
Snowcat [4.5K]

Answer:

Find the mean of the sampling distribution of xC-xT

Calculate and interpret the standard deviation of the sampling distribution. Verify that the 10% condition is met.

Justify that the shape of the sampling distribution

Step-by-step explanation:

2.4 letters. Both distributions of word length are unimodal and skewed to the right. Independent random samples of 40 words

3 0
2 years ago
Write and equation of the translated or rotated graph in general form (picture below)
WINSTONCH [101]

Answer:

The answer is hyperbola; (x')² - (y')² - 16 = 0 ⇒ answer (a)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

 xy = -8

∵ A = 0 , B = 1 , C = 0

∴ B² - 4 AC = (1)² - 4(0)(0) = 1 > 0

∴ B² - 4AC > 0

∴ The graph is hyperbola

* The equation xy = -8

∵ We have term xy that means we rotated the graph about

  the origin by angle Ф

∵ Ф = π/4

∴ We rotated the x-axis and the y-axis by angle π/4

* That means the point (x' , y') it was point (x , y)

- Where x' = xcosФ - ysinФ and y' = xsinФ + ycosФ

∴ x' = xcos(π/4) - ysin(π/4) , y' = xsin(π/4) + ycos(π/4)

∴ x' = x/√2 - y/√2 = (x - y)/√2

∴ y' = x/√2 + y/√2 = (x + y)/√2

* Lets substitute x' and y' in the 1st answer

∵ (x')² - (y')² - 16 = 0

∴ (\frac{x-y}{\sqrt{2}})^{2}-(\frac{x+y}{\sqrt{2}})^{2}=

 ( \frac{x^{2}-2xy+y^{2}}{2})-(\frac{x^{2}+2xy+y^{2}}{2})-16=0

* Lets open the bracket

∴ \frac{x^{2}-2xy+y^{2}-x^{2}-2xy-y^{2}}{2}-16=0

* Lets add the like terms

∴ \frac{-4xy}{2}-16=0

* Simplify the fraction

∴ -2xy - 16 = 0

* Divide the equation by -2

∴ xy + 8 = 0

∴ xy = -8 ⇒ our equation

∴ Answer (a) is our answer

∴ The answer is hyperbola; (x')² - (y')² - 16 = 0

* Look at the graph:

- The black is the equation (x')² - (y')² - 16 = 0

- The purple is the equation xy = -8

- The red line is x'

- The blue line is y'

6 0
3 years ago
Read 2 more answers
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