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nekit [7.7K]
3 years ago
9

If x and y satisfy both 9x+2y=8 and 7x+2y=4, then y=?

Mathematics
1 answer:
Alex3 years ago
7 0

Answer:

The value of y is -5

Step-by-step explanation:

we have

9x+2y=8 ------> equation A

7x+2y=4 ------> equation B

we know that

If x and y satisfy both equations, then (x,y) is the solution of the system of equations

Using a graphing tool

Remember that

The solution of the systems of equations is the intersection point both graphs

The intersection point is (2,-5)

therefore

The solution of the system of equations is the point (2,-5)

The value of y is -5

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timurjin [86]

Answer:

15

Step-by-step explanation:

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2 years ago
Hey guys!
GaryK [48]

The value of c from the given expression is -

<h3>Function and values</h3>

Given the following function

c(n)= −c(n−1)+1

Given the following parameters

c(1)=3

Substitute

3 = −c(3−1)+1

3 = -2c + 1

-2c = 3-1

-2c = 2

c = -1

Hence the value of c from the given expression is -1

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8 0
1 year ago
Which translation moves the entire figure into Quadrant II?
Svet_ta [14]

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bean

Step-by-step explanation:

8 0
3 years ago
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Can some one explain how to do this?
Delvig [45]

Answer:

see explanation

Step-by-step explanation:

Using the tangent and sine ratios in the right triangle EFG

tan60° = \frac{opposite}{adjacent} = \frac{FG}{EG} = \frac{28}{EG} ( multiply both sides by EG )

EG × tan60° = 28 ( divide both sides by tan60° )

EG = \frac{28}{tan60} ≈ 16.2 in ( to the nearest tenth )

--------------------------------------------------------------

sin60° = \frac{opposite}{hypotenuse} = \frac{FG}{EF} = \frac{28}{EF} ( multiply both sides by EF )

EF × sin60° = 28 ( divide both sides by sin60° )

EF = \frac{28}{sin60} ≈ 32.3 in ( to the nearest tenth )

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
3 years ago
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