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Kitty [74]
3 years ago
13

Solve the system of equations. If the system does not have one unique solution, determine the number of solutions to the system.

Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0
See photo. Hope it helps

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Drew's car weighs 1,344 kilograms. His car weighs 7 times as much as his motorcycle. How many grams does his motorcycle weigh? N
Alona [7]

Answer:

192,000 grams

Step-by-step explanation:

turn 1,344 kilograms to grams, which gives u 1344000 grams

divide 1344000 by 7 and you get 192,000 grams. Hope this helped :)

7 0
3 years ago
3-3x6+2= what is the right answer?
Kamila [148]
Use PEMDAS:-

3 - 3 × 6 + 2 = ?
3 - 18 + 2 = ?
-15 + 2 =
-13 

3 - 3 × 6 + 2 = -13. 
8 0
3 years ago
Solve the equation. Check your solution. - 6y + 5 = 29y - 2​
mr_godi [17]

Answer:

y = 0.2

Step-by-step explanation:

Simplifying

-6y + 5 = 29y + -2

Reorder the terms:

5 + -6y = 29y + -2

Reorder the terms:

5 + -6y = -2 + 29y

Solving

5 + -6y = -2 + 29y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-29y' to each side of the equation.

5 + -6y + -29y = -2 + 29y + -29y

Combine like terms: -6y + -29y = -35y

5 + -35y = -2 + 29y + -29y

Combine like terms: 29y + -29y = 0

5 + -35y = -2 + 0

5 + -35y = -2

Add '-5' to each side of the equation.

5 + -5 + -35y = -2 + -5

Combine like terms: 5 + -5 = 0

0 + -35y = -2 + -5

-35y = -2 + -5

Combine like terms: -2 + -5 = -7

-35y = -7

Divide each side by '-35'.

y = 0.2

Simplifying

y = 0.2

3 0
3 years ago
Read 2 more answers
A ball is thrown in the air from a height of 3 m with an initial velocity of 12 m/s. To the nearest tenth of a second, how long
stepladder [879]

Answer:  1.4 seconds

<u>Step-by-step explanation:</u>

The equation is: h(t) = at² + v₀t + h₀          where

  • a is the acceleration (in this case it is gravity)
  • v₀ is the initial velocity
  • h₀ is the initial height

Given:  

  • a = -9.81 (if it wasn't given in your textbook, you can look it up)
  • v₀ = 12
  • h₀ = 3

Since we are trying to find out when it lands on the ground, h(t) = 0

EQUATION:   0 = 9.81t² + 12t + 3

Use the quadratic equation to find the x-intercepts

                        a=-9.81, b=12, c=3

x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-9.81)(3)}}{2(-9.81)}\\\\\\x=\dfrac{-12\pm 16.2}{-19.62}\\\\\\x=\dfrac{-12+ 16.2}{-19.62}=-0.2\qquad x=\dfrac{-12- 16.2}{-19.62}=\large\boxed{1.4}\\

Note: Negative time (-0.2) is not valid

4 0
3 years ago
Given the equation Y -3 equals 1/2 (X +6 )in point slope form identify the equation of the same line in standard form
liberstina [14]

The standard form of a line:

Ax+By=C

We have the equation of a line in the slope-point form:

y-3=\dfrac{1}{2}(x+6)      use distributive property

y-3=\dfrac{1}{2}x+3       add 3 to both sides

y=\dfrac{1}{2}x+6        multiply both sides by 2

2y=x+12       subtract x from both sides

-x+2y=12      change the signs

x-2y=-12

4 0
4 years ago
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