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rodikova [14]
4 years ago
8

write the equation of the line in slope intercept form with the given conditions (slope = 3 and passes through (1,-3))

Mathematics
1 answer:
cupoosta [38]4 years ago
3 0

Answer:

Because we have a point and slope, we can use at the beginning the point-slope form: y-y1=m(x-x1)

Step-by-step explanation:

m=3 , x1=1 , y=-3

y-(-3)=3(x-1)

y+3=3x-3      subtract 3 from both sides

y=3x-6    the answer in the slope-intercept form y=mx+b


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54. The triangles in the diagram below are congruent.
Reika [66]

Answer:

Angle N should be 64

Step-by-step explanation:

A triangle adds up to 180. So triangle JKL already has 60 towards 180. Triangle ONM already has 56 towards 180. So you have to find the other value needed in order to make 180. 56+60= 116 so we need to find the other angle to make 180. To do so just subtract 180-116 and that gives tou the answer 64 so that would be Angle N

7 0
3 years ago
20.<br><br> What is the end behavior of the function?
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3 years ago
Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z&lt;5
abruzzese [7]

Answer:

The answer is <em>1</em>.

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 <em>1</em>.

6 0
3 years ago
31 divided into 458
tangare [24]

Answer:

31/458 or 458/31 you worded it confusingly

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Enter the values for the highlighted variables to
LiRa [457]
I think this is right

6 0
3 years ago
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