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olga nikolaevna [1]
3 years ago
10

Simplify the expression: x^2+3x-28/x^2-7x+12. Show your work.

Mathematics
1 answer:
Sergio [31]3 years ago
6 0

(x+7)/(x-3)

All you have to do is write the equation, factor, and cancel like terms.

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If the 2 base angles are congruent then the two opposite sides are congruent
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4/5k = 12 what is the answer because I am a not smart 6th grader
shusha [124]

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k = 15

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4 0
2 years ago
Is 0.6 repeating a rational number
julsineya [31]
Any decimal number that is repeating can be written in the form <span>\frac{a}{b}</span> with b not equal to zero, so they are rational numbers.

The short answer is yes, 0.6 repeating is a rational number.

Hope this helped :)
6 0
3 years ago
Given the position of the particle, what the position(s) of the particle when it’s at rest
choli [55]

The position function of a particle is given by:

X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t

The velocity function is the derivative of the position:

\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}

The particle will be at rest when the velocity is 0, thus we solve the equation:

2t^2-9t-18=0

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

Substituting:

\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}

We have two possible answers:

\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

undefined

6 0
1 year ago
What is the slope of the line that passes through the points shown in the table?
andreyandreev [35.5K]

Answer:

Where is the table???

Step-by-step explanation:

Show the full question

4 0
3 years ago
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