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3 years ago

Solve this 2 step equation d/12 - 6 < 1

Mathematics

1 answer:

nadezda [96]3 years ago

3 0

Answer:

d<84

Step-by-step explanation:

Let's solve your inequality step-by-step.

−6<1

Step 1: Simplify both sides of the inequality.

d−6<1

Step 2: Add 6 to both sides.

d−6+6<1+6

d<7

Step 3: Multiply both sides by 12.

12*(

d)<(12)*(7)

=d/12-6<1

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Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is 1.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to 1.

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3 years ago

Point One = (0, -2) = Point Two = (-3, -5) write in slope intercept form

Ivanshal [37]

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Step-by-step explanation:

Use the equation y=y2-y1 over x2-x1

1. label your points

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harkovskaia [24]

Answer:

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