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mash [69]
3 years ago
11

WORKED EXAMPLES

Mathematics
1 answer:
Vadim26 [7]3 years ago
3 0

Answer:

M<C = 20°

Step-by-step explanation:

Because they’re vertical angles, that means they’re equal to each other so:

m<C = m<D

x = -3x + 80

x + 3x = 80

4x = 80

x = 20

Since m<C equals x, that means m<C is 20°

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Let ​f(x)=x^2+6x−16​.<br> Enter the x-intercepts of the quadratic function in the boxes.
Sauron [17]

\underline{\underline{\large\bf{Given:-}}}

\red{\leadsto}\:\textsf{}\sf f(x)= x^2+6x−16

\underline{\underline{\large\bf{To Find:-}}}

\orange{\leadsto}\:\textsf{ x-intercepts of the quadratic function }\sf

\\

\underline{\underline{\large\bf{Solution:-}}}\\

\longrightarrowx- intercept is the point where graph of given function touches the x-axis,f(x) becomes 0 at the point where graph of given function touches the x-axis. Therefore, we would to solve x^2+6x−16=0 and find its root.

\begin{gathered}\\\implies\quad \sf x^2+6x−16=0 \\\end{gathered}

\begin{gathered}\\\implies\quad \sf x^2+8x-2x −16=0 \\\end{gathered}

\begin{gathered}\\\implies\quad \sf x(x+8)-2(x+8)=0 \\\end{gathered}

\begin{gathered}\\\implies\quad \sf (x-2)(x+8)=0\\\end{gathered}

\begin{gathered}\\\implies\quad \sf  x=2\quad or \quad x=-8 \\\end{gathered}

\leadstox-intercepts of the given quadratic function are 2 and -8 .

7 0
3 years ago
Following the recommended steps for solving equations, what should be your first step in solving the given equation?
Free_Kalibri [48]
To solve equations, you isolate the variable you are solving for on one side and everything else on the other side.

The first step to solving this equation is to combine like terms.
Combining like terms means to add up all terms that have the same variable(s) and exponent.

If no exponent is shown, then a 1 exponent is implied. The reason why we don't show a term raised to the first power is that it doesn't have any effect on the term.

I see three terms with the x variables. We can combine them. Why? Because they all have the same variable and exponent.

I'll rearrange the left-hand side to combine all the terms with the x variable.

Now we have -3 + 2x - 4x - 2x = -6
Combine all terms that have the x variable.

-3 + 2x - 4x - 2x = -6
-3 - 4x = -6

Now we have -3 - 4x = -6
What can we do now to isolate the x variable on the left-hand side?
For starters, we can add 3 to each side of the equation.
That way the -3 term will disappear.

-3 - 4x + 3 = -6 + 3
-4x = -3

Last step.
The x variable is being multiplied by the -4. If we reverse that operation
we can get the value of x.

-4x / -4 = 3 / -4
x = 3/-4 or x = -0.75



8 0
3 years ago
Read 2 more answers
An amount of $25,000 is borrowed for 9 years at 9% interest, compounded annually. If the loan is paid in full at the end of that
Aleks04 [339]

Answer:

  $36,566

Step-by-step explanation:

"The calculator provided" will tell you the monthly payment is $338.57, so the 108 payments made over the period of 9 years will total ...

  108 × $338.57 = $36,565.56

Rounded to the nearest dollar, the amount is $36,566.

6 0
3 years ago
PLEASE SOMEBODY HELP MEEEE
andreyandreev [35.5K]
That's an equal to or less then sign so 10 or anything below should be correct
3 0
3 years ago
Read 2 more answers
What is -87 + (-971)=
MrMuchimi

Answer:

-1058

Step-by-step explanation:

8 0
3 years ago
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