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kaheart [24]
3 years ago
5

What is the slope of the line passing through (2,9) and (2,-14)

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
6 0

Answer:

The slope is undefined

Step-by-step explanation:

When graphed, the two points form a vertical line, since we can't divide the slope by zero thw slope is considered as undefined

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Which property was used to simplify the expression?
Montano1993 [528]

Answer:

inverse i believe, because the numbers are switched around on the right side of the equal sign.

Step-by-step explanation:

3 0
3 years ago
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What is the value of x?<br> 3 (-1 - 8x) = -3
Anna11 [10]

Answer:

x = 0

Step-by-step explanation:

3 x -1 = -3 and 3 x -8x = -24x

-3 + 3( the opposite of the -3 given in the parentheses) = 0

-24x = 0

0/-24 (from -24x)= 0

x = 0

5 0
3 years ago
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Simplify the complex fraction: ((3x-7)/x^2)/(x^2/2)+(2/x)
Archy [21]
Simplify the complex fraction: ((3x-7)/x^2)/(x^2/2)+(2/x)

\dfrac{ \dfrac{3x-7}{x^2} }{ \dfrac{x^2}{2} } + \dfrac{2}{x} =\qquad \qquad x \neq 0\qquad x^4 \neq 0 \\  \\  \\  \dfrac{(3x-7)*2}{x^2*x^2}+ \dfrac{2}{x} =  \\  \\  \\   \dfrac{6x-14}{x^4}+ \dfrac{2}{x} =\\  \\  \\  \dfrac{ 6x-14 }{ x^4 }+ \dfrac{2(x^3)}{x(x^3)}=\\  \\  \\  \boxed{  \dfrac{ 6x-14 +2x^3}{ x^4 } }

6 0
3 years ago
Find the equation of the line passing through (4,1) and perpendicular to the line whose equation is 1x-3y-4=0
Verizon [17]

9514 1404 393

Answer:

  3x +y -13 = 0

Step-by-step explanation:

The perpendicular line will have the variable coefficients swapped and one of them negated. The new constant will be appropriate to the given point.

  3(x -4) +1(y -1) = -0

  3x +y -13 = 0

_____

<em>Additional comment</em>

The given equation is in "general form", so that is the form of the equation we have given as the answer. This form is convenient in that the general form equation for a line through the origin, ax+by=0, is easily translated to make it pass through a point (h, k): a(x -h) +b(y -k) = 0. Eliminating parentheses puts the equation back into general form.

8 0
2 years ago
a ball is dropped from the height of 64 feet. its height can be modeled by the function h(t)=-16t^2+64, where t is the time in s
puteri [66]

Answer:

It takes 1.323 seconds for the ball to fall by 36 feet

Step-by-step explanation:

The height of the ball dropped from a height of 64 ft is modeled by the equation:

h(t) = -16t² + 64 where t is the time in seconds.

To find the time it takes to fall 36 ft, we substitute h(t) too be 36 ft and then solve the resulting quadratic function.

Substituting h(t) to be 36 ft:

36 = -16t² + 64

multiply through by -1

-36 = 16t² - 64

add 36 to both sides

16t² -64 + 36 = -36 + 36

16t² - 28 = 0

add 28 to both sides

16t² - 28 + 28 = 0 +28

16t² = 28

Divide both sides by 28

16t²/16 = 28/16

t² = 1.75

Find squre root of both sides

√t² = √1.75

t = 1.323 seconds

It takes 1.323 seconds for the ball to fall by 36 feet

5 0
3 years ago
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