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VladimirAG [237]
3 years ago
15

[18].Simplify (TTE): x(2x+y+5) - 2(x²+xy+5) + y(x + y) ​

Mathematics
1 answer:
Dovator [93]3 years ago
4 0

Answer:

x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10  + y\²

Step-by-step explanation:

Given

x(2x+y+5) - 2(x\²+xy+5) + y(x + y)

Required

Simplify

We have:

x(2x+y+5) - 2(x\²+xy+5) + y(x + y)

Open brackets

x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²+xy+5x - 2x\²-2xy-10 + xy + y\²

Collect like terms

x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²- 2x\²+xy-2xy+ xy+5x -10  + y\²

x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10  + y\²

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Identify the y-intersept of the function -3(3)^x+4
Marta_Voda [28]

Answer:

The answer is (0,1)

Step-by-step explanation:

8 0
3 years ago
Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and the sides of the c
lord [1]

Answer:

a. 5177 cm³

b. 3,451 cm³

c. 67%

Step-by-step explanation:

Given:

Diameter of each ball (d) = 13 cm

Radius of the ball (r) = radius of the cylinder = ½(13) = 6.5 cm

Height of the cylinder (h) = the sum of the diameters of the 3 balls = 3(13) = 39 cm

a. Volume of cylinder = πr²h

Plug in the values

Volume of cylinder = π*6.5²*39 = 5176.56 ≈ 5177 cm³

b. Total volume of the three balls = 3(volume of 1 ball) = 3(volume of sphere) = 3(⁴/3πr³)

Plug in the value

Total volume of the 3 balls = 3(⁴/3*π*6.5³) = 3(1150.35) = 3,451.05 ≈ 3,451 cm³

c. % of volume of the container occupied by the 3 balls = total volume of the three balls / volume of cylinder × 100

Plug in the values

= 3,451/5177 × 100

= 66.6602279

≈ 67%

6 0
3 years ago
56,00 rounded to 1,000
Dmitry [639]
56,000?? 
If you mean 56,000 then the nearest thousand is 56,000
6 0
3 years ago
What are the coordinates of J'?
attashe74 [19]

Answer:

F'(-\frac{10}{3},-\frac{8}{3})

or

F'(-3.33,-2.67)

Step-by-step explanation:

we know that

The coordinates of point F are (-5,-4) (see the figure)

In this problem

A dilation with a scale factor 2/3 about the origin is described using the following notation:

(x,y) ----> (\frac{2}{3}x,\frac{2}{3}y)

so

Applying the rule of the dilation to point F

F(-5,-4) ----> F'(\frac{2}{3}(-5),\frac{2}{3}(-4))

F(-5,-4) ----> F'(-\frac{10}{3},-\frac{8}{3})

F(-5,-4) ----> F'(-3.33,-2.67)

6 0
3 years ago
Amanda builds a scale model of a bridge that is 460 feet in length. She has to use 6-inch long toothpicks to build this model. T
Alex_Xolod [135]

Answer:

6 inches

Step-by-step explanation:

460 ÷ 6 = 76.666666.

512 ÷ 76.666666 = 6.672

6.672 rounded to a whole number is 6.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message.

<em>-kiniwih426</em>

5 0
3 years ago
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