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Dennis_Churaev [7]
3 years ago
11

Solve the system of equations. 10x + y= − 20 y = 2 x^2 − 4x − 16

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0
A graphing calculator shows two solutions:
  (x, y) = (-2, 0) or (-1, -10)

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If X = 10 cm, Y = 24 cm, and Z = 26 cm, what is the tangent of A?
omeli [17]

2.4cm is the tangent of A

6 0
3 years ago
Please Help. 25 points. <br>​
vodomira [7]

Answer:

\boxed{x = 7, y = 9, z = 68}

Step-by-step explanation:

We must develop three equations in three unknowns.

I will use these three:

\begin{array}{lrcll}(1) & 8x + 13y +7 & = & 180 & \\(2)& 9x - 7 + 13y +7 & = & 180 & \\(3)& 8x + 5y - 11 + z & = & 180 &\text{We can rearrange these to get:}\\(4)& 8x + 13y & = & 173 &\\(5) & 9x + 13y & = & 180 & \\(6)& 8x + 5y + z & = & 169 & \\(7)& x & = & \mathbf{7} & \text{Subtracted (4) from (5)} \\\end{array}

\begin{array}{lrcll}& 8(7) + 13y & = & 173 & \text{Substituted (7) into (4)} \\& 56 + 13y & = & 173 & \text{Simplified} \\& 13y & = & 117 & \text{Subtracted 56 from each side} \\(8)& y & =& \mathbf{9}&\text{Divided each side by 13}\\& 8(7) + 5(9) + z & = & 169 & \text{Substituted (8) and (7) into (6)} \\& 56 + 45 + z& = & 169 & \text{Simplified} \\& 101 + z& = & 169 & \text{Simplified} \\&z& = & \mathbf{68} & \text{Subtracted 101 from each side}\\\end{array}

\boxed{\mathbf{ x = 7, y = 9, z = 68}}

4 0
3 years ago
Which equation has infinitely many solutions? A) 4x + 3 3 = 4x + 5 B) 10x + 8 2 = 5x + 4 C) 8x − 5 3 = 2x − 2 D) 8x − 5 2 = 4x −
abruzzese [7]

Answer: If the left side and the right side of the equation are equal, the equations has  infinitely many solutions.

Step-by-step explanation:

The options are not clear, so I will give  you a general explanation of the procedure you can use to solve this exercise.

The Slope-Intercept form of the equation of a line is the following:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

For this exercise you need to remember that, given a System of Linear equations, if they are exactly the same line, then the System  of equations has Infinitely many solutions.

If you  have the following system:

\left \{ {{y=2x+1} \atop {y=\frac{12}{6}x+1}} \right.

You can simplify the second one:

y=2x+1

Then, both equations are the same line.

By definition you can also write the systemf making both equations equal to each other:

2x+1=2x+1

So, if the left side and the right side are equal, the equations has  infinitely many solutions.

3 0
3 years ago
What is the slope of the line segment AB? (5 points) A.2 B.−2 C.−1 over 2 D.1 over 2
Katen [24]
The slope should be one over two.
6 0
3 years ago
Write 10 5/12 as an equivalent improper fraction.
yarga [219]
To get the improper fraction of 10 5/12, multiply the denominator of the fraction and the number on the left which is 10x12=120.

Then you want to add the numerator 5 to 120 to get 125.

Using the denominator 12, and the numerator 125, there is your answer. 125/12.
Hope it wasn't too confusing..
Hope this helped :)
3 0
3 years ago
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