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podryga [215]
3 years ago
10

Determine if (-2,5) is a solution of Of 3x+4y=14

Mathematics
1 answer:
Serggg [28]3 years ago
8 0
Well that's easy. Just plug in the numbers: 3*(-2)+4*(5)=14. So yes the solution is correct.
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An art studio purchased a triangular plot of land in a town and constructed a new building whose base is in the shape of a right
Vinvika [58]

Answer:

The sides are 30 ft, 40 ft and 50 ft.

Step-by-step explanation:

The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.

Using Pythagoras theorem the length of the sides can be found.

a² + b² = c²

(x - 4)² + (x + 6)² = (2x - 18)²

(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)

x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324

2x² - 8x + 12x + 16 + 36 = 4x² - 72x +  324

2x² + 4x + 52 = 4x² - 72x +  324

2x² - 4x² + 4x + 72x + 52 - 324 = 0

-2x² + 76x - 272 = 0

2x² - 76x + 272 = 0

divide through by 2

x² - 38x + 136 = 0

find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.

x² - 4x - 34x + 136 = 0

x(x - 4) - 34(x - 4) = 0

(x - 4)(x - 34 ) = 0

x = 4 or 34

we can only use 34 since using 4 will result to negative number.

x - 4  = 34 - 4 = 30 ft

x + 6 = 34 + 6 = 40 ft

2x - 18 = 68 - 18 = 50 ft

6 0
3 years ago
finn the frog Brought a radio to the birthday party that was 9 inches tall, 8 inches long and 7 inches wide. What is the surface
Oduvanchick [21]

Answer:

504

Step-by-step explanation:

6 0
3 years ago
Taking an Uber ride in NYC has an initial fee of $2.55 with an additional charge of $1.75 per mile (we will ignore the small per
dmitriy555 [2]

Answer:

what exactly am i solving for ?

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
-4x - 6y = 6<br> 4x + 6y = -4
Sloan [31]

Step-by-step explanation:

-4x - 6y = 6

4x + 6y = -4

To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the x variable when we add the two equations together.

Right now, there's a -4x term in the first equation, and a 4x term in the second equation, so if we add those together, we'll be able to eliminate the x variable altogether and solve for y.

However, when we also have a -6y term in the first equation and 6y term in the second equation, so adding these together will also eliminate the y term, leaving a 0 on the left-hand side of the equation.

If we add the two numbers on the right side of the equation, we get -2, which does not equal 0, meaning there are no solutions to this system of equations.

3 0
3 years ago
Read 2 more answers
Match the correct angle measurement with its letter from the diagram.
igor_vitrenko [27]

Answer:

<C=48 because 90-42=42 as in the other side of the triangle.

<B=42 because vertical angles are always congruent.

<B+<D=90 because <D is 48 because it is vertical to <C

5 0
2 years ago
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