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ddd [48]
3 years ago
11

What are the solutions to the equation x² + 16x + 14 = 0?

Mathematics
1 answer:
poizon [28]3 years ago
3 0

Answer:

-8+5√2 and -8-5√2

Step-by-step explanation:

Given the expression x² + 16x + 14 = 0

USing the general formulas

x = -16±√16²-4(14)/2

x = -16±√256-56/2

x = -16±√200/2

x = -16±10√2/2

x = -8±5√2

Hence the required solutions are -8+5√2 and -8-5√2

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After simplifying the following expression, the coefficient of the m^2 term will be ______.
dlinn [17]

Answers:

After simplifying the following expression, the coefficient of the m^2 term will be <u>  13  </u>

The solution is <u>  13m^2 + 6mn^2 - 5nm^2   </u>

====================================================

Explanation:

Highlight all the terms that have m^2 in them and nothing else (so that means no variables of n or n^2)

You should highlight 3m^2, 16m^2 and -6m^2 as the three terms.

The coefficients 3, 16 and -6 combine to 3+16-6 = 13

Meaning that 3m^2+16m^2-6m^2 = 13m^2

----------------

There are no other like terms that pair up.

The 6mn^2 and -5nm^2 are different because the exponent 2 is over a different letter each time. Put another way: mn^2 is not the same as nm^2

So we cannot combine 6mn^2-5nm^2. We leave it as is.

Overall, the entire expression simplifies to 13m^2 + 6mn^2 - 5nm^2

6 0
3 years ago
5x + 2y = 8
stich3 [128]
The answer should be c.
3 0
3 years ago
Read 2 more answers
The variables y and x have a proportional relationship, and y = 25 when x = 60.
jeka94

Answer:

A

Step-by-step explanation:

A. x = 25

4 0
4 years ago
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Which Linear Equation represents the data given in the table A) y= 3x+8 B). Y=8X+3 C). Y=3X-8 D) 8X-3
Snezhnost [94]
<h2>Explanation:</h2><h2></h2>

Hello! remember that you have to write complete questions in order to get good and exact answers. Here you haven't provided any table so I'll assume a table, which is shown below:

\begin{array}{cc}x & y\\0 & 8\\1 & 11\\2 & 14\\3 & 17\\4 & 20\end{array}

Remember that the slope intercept form of the equation of a line is given by:

y=mx+b

Where:

m:slope \\ \\ b:y-intercept

The y-intercept occurs when x=0, thus from the table:

b=8

And the slope can be found as:

m=\frac{y_{2-y_{1}}}{x_{2}-x_{1}} \\ \\ m=\frac{11-8}{1-0}=3

Therefore, the equation that represents the table is:

y=3x+8

Correct option:

A)

7 0
3 years ago
An expression is shown 8 1/10 ÷ 4 1/5 What is the value
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