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krek1111 [17]
3 years ago
11

What is the solution to 4(s – 3) – 4= 4+8(2 – s)? Enter your answer in the box. S=

Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

Answer:

11

Step-by-step explanation:

4(s-3)-4=4+8(3)

=4+24

=28

4s-12-4=28

4s-16=28

4s=28+16

4s=44

s=44/4

s=11

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The volume (V) of water stored in an open tank varies due to evaporation as
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A circle is centered at the point (5, -4) and passes through the point (-3, 2).
zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

Point on circle = (-3,2)

The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10

The standard form of equation of circle is:

(x-h)^{2}+(y-k)^{2}=r^{2}

where h and k are the coordinates of the center. So putting in the value:

(x-5)^{2}+(y-(-4))^{2}=(10)^{2}\\(x-5)^{2}+(y+4)^{2}=100

8 0
3 years ago
The states C and D spend a total of ​$54.6 million for tourism. The state C spends ​$2 million more than the state D. Find the a
Roman55 [17]

State C spent $28.3 million and State D spent $26.3 million.

Step-by-step explanation:

Total spent for tourism = $54.6 million

Let,

The amount spent by State C = x

The amount spent by State D = y

According to given statement;

x+y = 54.6    Eqn 1

x=y+2    Eqn 2

Putting value of x from Eqn 2 in Eqn 1

(y+2)+y-54.6\\y+2+y=54.6\\2y=54.6-2\\2y=52.6\\

Dividing both sides by 2

\frac{2y}{2}=\frac{52.6}{2}\\y=26.3

Putting y=26.3 in Eqn 2

x=26.3+2\\x=28.3\\

State C spent $28.3 million and State D spent $26.3 million.

Keywords: linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/6459599
  • brainly.com/question/6649771

#LearnwithBrainly

5 0
3 years ago
The distance between the points (4, 5) and (2, 2)
Morgarella [4.7K]

Answer:

(2,3)

Step-by-step explanation:

6 0
2 years ago
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