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borishaifa [10]
2 years ago
5

Solve the system of equations: 8x + 3y = 13 3x + 2y = 11

Mathematics
1 answer:
Sonbull [250]2 years ago
8 0

Answer:

1.x=13/8-3y/8

2.x=11/3-2y/3

Step-by-step explanation:

You might be interested in
The width of a soccer goal is 7 m how wide is the goal in centimeters
Anika [276]

There are 100 centimeters in one meter, so multiply 7 meters by 100 to find out how many centimeters equal 7 meters.

7 * 100 = 700

There are 700 centimeters in 7 meters, so that means:

The goal is 700 centimeters wide.

7 0
3 years ago
Which two tables represent the same function?
topjm [15]

Answer:

The 1st and the 5th tables represent the same function

Step-by-step explanation:

* Lets explain how to solve the problem

- There are five tables of functions, two of them are equal

- To find the two equal function lets find their equations

- The form of the equation of a line whose endpoints are (x1 , y1) and

  (x2 , y2) is \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

* Lets make the equation of each table

# (x1 , y1) = (4 , 8) and (x2 , y2) = (6 , 7)

∵ x1 = 4 , x2 = 6 and y1 = 8 , y2 = 7

∴ \frac{y-8}{x-4}=\frac{7-8}{6-4}

∴ \frac{y-8}{x-4}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 8) = -1(x - 4) ⇒ simplify

∴ 2y - 16 = -x + 4 ⇒ add x and 16 for two sides

∴ x + 2y = 20 ⇒ (1)

# (x1 , y1) = (4 , 5) and (x2 , y2) = (6 , 4)

∵ x1 = 4 , x2 = 6 and y1 = 5 , y2 = 4

∴ \frac{y-5}{x-4}=\frac{4-5}{6-4}

∴ \frac{y-5}{x-4}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 5) = -1(x - 4) ⇒ simplify

∴ 2y - 10 = -x + 4 ⇒ add x and 10 for two sides

∴ x + 2y = 14 ⇒ (2)

# (x1 , y1) = (2 , 8) and (x2 , y2) = (8 , 5)

∵ x1 = 2 , x2 = 8 and y1 = 8 , y2 = 5

∴ \frac{y-8}{x-2}=\frac{5-8}{8-2}

∴ \frac{y-8}{x-2}=\frac{-3}{6}=====\frac{y-8}{x-2}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 8) = -1(x - 2) ⇒ simplify

∴ 2y - 16 = -x + 2 ⇒ add x and 16 for two sides

∴ x + 2y = 18 ⇒ (3)

# (x1 , y1) = (2 , 10) and (x2 , y2) = (6 , 14)

∵ x1 = 2 , x2 = 6 and y1 = 10 , y2 = 14

∴ \frac{y-10}{x-2}=\frac{14-10}{6-2}

∴ \frac{y-10}{x-2}=\frac{4}{4}======\frac{y-10}{x-2}=1

- By using cross multiplication

∴ (y - 10) = (x - 2)

∴ y - 10 = x - 2 ⇒ add 2 and subtract y in the two sides

∴ -8 = x - y ⇒ switch the two sides

∴ x - y = -8 ⇒ (4)

# (x1 , y1) = (2 , 9) and (x2 , y2) = (8 , 6)

∵ x1 = 2 , x2 = 8 and y1 = 9 , y2 = 6

∴ \frac{y-9}{x-2}=\frac{6-9}{8-2}

∴ \frac{y-9}{x-2}=\frac{-3}{6}======\frac{y-9}{x-2}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 9) = -1(x - 2) ⇒ simplify

∴ 2y - 18 = -x + 2 ⇒ add x and 18 for two sides

∴ x + 2y = 20 ⇒ (5)

- Equations (1) and (5) are the same

∴ The 1st and the 5th tables represent the same function

3 0
3 years ago
The world's tallest building is the Burj Khalifa in Dubai at 828 m tall. The CN Tower in Toronto is 553 m tall. Ryan wants to co
Taya2010 [7]

Answer:

Volume of Burj Khalifa Prism = 4000 cm^2

Volume of CN Tower Prism = 2671 cm^2

Step-by-step explanation:

Given

Height of Burj Khalifa = 828 m

Height of CN Tower in Toronto = 553 m

Base of rectangular prism is a square with sides <em>10 cm </em>\times<em> 10 cm</em>.

Height of Burj Khalifa prism = 40 cm

828 m is represented as 40 cm

\Rightarrow 553 m is represented as \frac{40}{828 } \times 553 = 26.71\ cm

So, height of rectangular prism of CN Tower = 26.71 cm

Volume of a Prism is given by the Formula:

V=Area\ of\ Base \times Height

Base is a square, so Area of base = Side^2

Volume of Burj Khalifa Prism:

V_B=10^2 \times 40 = 4000\ cm^2

Volume of CN Tower Prism:

V_C=10^2 \times 26.71 = 2671\ cm^2

So, the answer is:

Volume of Burj Khalifa Prism = <em>4000</em> cm^2

Volume of CN Tower Prism = <em>2671 </em>cm^2

4 0
2 years ago
Alonzo went to a baseball game. The game started at 10:50 AM, and it was 3 hours 27 minutes long. When did the game end? PLEASE
sattari [20]
The answer is 2:17pm
8 0
3 years ago
Read 2 more answers
What is the approximate circumference of the circle shown below?​
aniked [119]

Answer:

D: 109 cm

Step-by-step explanation:

The formula of circumference is

\pi d

Diameter =

17.4 \times 2 = 34.8

Hence, circumference =

34.8 \times \pi = 109.32742...

rounded of to 109.

8 0
3 years ago
Read 2 more answers
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