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Rudiy27
3 years ago
12

How to solve -9x-4-8+7x=10

Mathematics
2 answers:
inna [77]3 years ago
8 0

Answer:

x=-11

Step-by-step explanation:

-9x-4-8+7x=10

-2x-12=10

   +12 +12

-2x=22

-2x/-2=22/-2

x=-11

Akimi4 [234]3 years ago
7 0
X=-11
combine like terms (-9x and 7x) then (-4 and -8) then you have -2x-12=10 so you add 12 and 10 and you have -2x=22 lastly you divide and get x=-11
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Charlie is watching hot air balloons. balloon a has risen at a 50° angle. balloon b has risen at a 78° angle. if the distance fr
AfilCa [17]

The distance from Balloon A to Balloon B, d ≈ 1,052 feet

What is distance ?

  • Distance is defined to be the magnitude or size of displacement between two positions.
  • Note that the distance between two positions is not the same as the distance traveled between them.
  • Distance traveled is the total length of the path traveled between two positions. Distance traveled is not a vector.

The given parameters are;

The angle at which Balloon A rises, x° = 50° above horizontal

The angle at which Balloon B rises, y° = 78° above horizontal

The (vertical) distance of Balloon A to the ground, h = 1,000 ft.

The required parameter;

The distance from Balloon A to Balloon B, d

We find the distances of the balloons from Charlie and the angle between the balloon strings, θ, then apply cosine rule

Let,

The height of the balloon strings are equal

The distance of Balloon A to the ground, h₁ = The distance of Balloon B to the ground, h₂ = 1,000 ft.

The distance of the Balloon A  from Charlie, l₁, is given as follows;

l₁ × sin(x°) = h₁

∴ l₁ = h₁/(sin(x°))

Which gives;

l₁ = 1,000 ft./(sin(50°)) ≈ 1,305.41 ft.

l₁ ≈ 1,305.41 ft.

For Balloon B, we get;

h₁ = h₂ = 1,000 ft.

∴ l₂ = 1,000 ft./(sin(78°)) ≈ 1,022.34 ft.

l₂ ≈ 1,022.34 ft

The angle between the balloon strings, θ = 180° - (x° + y°)

∴ θ = 180° - (50° + 78°) = 52°

The angle between the balloon strings, θ = 52°

By cosine rule, we have;

d = √(l₁² + l₂² - 2 × l₁ × l₂ × cos(θ))

∴ d = √(1,305.41² + 1,022.34² - 2 × 1,305.41×1,022.34 × cos(52°)) ≈ 1,052 feet

Therefore, the distance from Balloon A to Balloon B, d ≈ 1,052 feet

Learn more about distance

brainly.com/question/15172156

#SPJ4

7 0
2 years ago
A. Rotation of 180º and then a reflection across the x-axis.
Trava [24]

C.

Hope this helps!

Please vote brainliest

3 0
3 years ago
What is the solution of the system? Use elimination. <br> 3x - 4y = 9<br> -3x + 2y = 9
densk [106]
You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.

3x - 4y = 9
<span>-3x + 2y = 9
</span>
When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.

We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).

-2y = 18

18/-2 = -9.

Now we have y = -9, and we can go back into the problems to solve for x.

<span>3x - 4(-9) = 9
</span>
3x + 36 = 9.

3x = -27

x = -9.

Confirm with the final equation:

-3(-9) + 2(-9) = 9
27 - 18 = 9
9 = 9 --- Confirmed.

6 0
3 years ago
Read 2 more answers
What is a statement of equality?
Tju [1.3M]

Answer:

the equality between A and B is written and pronounced A equals to B

7 0
3 years ago
WILL GIVE BRAINLIEST
sladkih [1.3K]
Hii :D I’m pretty sure it’s D because the equation can be rewritten in standard form or implicit form

Have a great day! I’m so sorry if I’m wrong
5 0
3 years ago
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