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2 years ago

Which conjunction or disjunction is equivalent to |t – 7| > 12?

1 answer:

Klio2033 [76]2 years ago

8 0

$|t-7| > 12\ \ \ \Leftrightarrow\ \ \ (t-7>12\ \ \ \ \ or\ \ \ \ \ -(t-7)>12)\ /\cdot (-1)\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ t-7>12\ \ \ \ \ or\ \ \ \ \ \ \ \ \ \ \ t-7$

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A line passes through the point (1,4) and is perpendicular to the line with equations y=-1/5x+2. what's the equation of the line

jekas [21]

To find the slope of the perpendicular line, you can take the negative reciprocal of the slope of the line it is perpendicular to.

Taking the negative reciprocal of -1/5 gives 5.

Now we have y=5x+b, where b is the y-intercept. Since we know that the perpendicular line passes through the point (1,4), we can substitute those values into the equation we have to find b.

y=5x+b

4=5(1)+b

4=5+b

b=-1

Therefore, the equation of the perpendicular line is y=5x-1.

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2 years ago

Write an equation in point-slope form for each line. (If possible please show work)

Free_Kalibri [48]

Answer:

slope is calculated this way:

$\frac{3 - 6}{2 - 1} = \frac{ - 3}{1} = - 3$

let's calculate y init by:

3 = -3×2 + b

b = 9

so equation is:

y=-3x+9

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2 years ago

Help please!!!! don't understand

Juliette [100K]

4x + 17 = 23
23-17=6
4x=6
6/4=1.5
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Hope this helps

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2 years ago

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How would u solve this

astraxan [27]

Answer:

congruent angle pair

Step-by-step explanation:

angles 2 and 3 are congruent(equal 90 degrees), and angles 3 and 6 are opposite each other, indicating that they are of equal measure. therefore, angles 2 and 6 and congruent.

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2 years ago

Df = g + 32 solve for d

LekaFEV [45]

Answer and Step-by-step explanation:

To solve for d, divide f from both sides of the equation.

df ÷ f = (g + 32) ÷ f

d = $\frac{g+32}{f}$ is the answer.

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I hope this helps!

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2 years ago

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