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lisov135 [29]
3 years ago
13

What is the solution of the equation? 2 = 6p - 8 - 5p

Mathematics
2 answers:
Art [367]3 years ago
8 0

Combine like terms : 2 = p - 8

Add 8 on both sides : 10 = p

Hope this helps.

jolli1 [7]3 years ago
5 0

2 = 6p - 8 - 5p \\ 2 = (6p - 5p) - 8 \\ 2 = p - 8 \\ 2 + 8 = p \\ 10 = p
The answer is p = 10
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Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
weeeeeb [17]

Answer:

\[y = (-1/2) * x + 6\]

Step-by-step explanation:

Equation of the given line: y=2x+2

Hence the slope of the line is given by 2

Any line which is perpendicular to the given line will have a slope m such that m*2 = -1

Or, \[m = \frac{-1}{2}\]

Only options 2 and 3 satisfy this condition.

The line is also supposed to pass through the point (6,3).

Substituting these values in the option 2:

\[3 = (-1/2) * 6 + 3\]

Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.

Now substituting (6,3) in option 3:

\[3 = (-1/2) * 6 + 6\]

Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.

5 0
3 years ago
Determine what must be multiplied so that the expression below will have a common denominator. Use the backslash / to type in a
Mashutka [201]

Answer:

Multiply the first fraction by \frac{x+4}{x+4}

Multiply the second fraction by \frac{x-4}{x-4}

Step-by-step explanation:

Given

\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}

Required

Make the denominator equal

\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}

Factorize the denominator

\frac{4}{x^2 - 4^2} + \frac{3}{x^2 + 4x + 4x+ 16}

\frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)}

Multiply the first fraction by \frac{x+4}{x+4}

Multiply the second fraction by \frac{x-4}{x-4}

\frac{x+4}{x+4} * \frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)} * \frac{x-4}{x-4}

\frac{4(x + 4)}{(x - 4)(x + 4)(x + 4)} + \frac{3(x - 4)}{(x+ 4)(x + 4)(x - 4))}

\frac{4(x + 4)}{(x^2 - 16)(x + 4)} + \frac{3(x - 4)}{(x^2 - 16)(x + 4))}

<em>The expression now have the same denominator</em>

7 0
3 years ago
Is 1/8&lt;-1/2 a solution or no?
miv72 [106K]
It is not because always remember, a positive is greater than a negative. This equation is showing a negative being greater than a positive. That's like saying I'm taller than you.
5 0
3 years ago
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natulia [17]

Answer: C

<u>Step-by-step explanation:</u>

1. DOF and GOH are vertical angles         1. Given

2. m∠DOF = m∠GOH                                 2. Vertical Angles Theorem

3. ∠DOF = 58°                                             3.   Given

4. 58° = m∠GOH                                         4. Substitution

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3 years ago
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Scorpion4ik [409]
He right its 2/5  I took the yes to
7 0
3 years ago
Read 2 more answers
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