Step-by-step explanation:
all work is shown and pictured
Help find the slope of each line
2 answers:
Answer:
1. -1/3
2. 3/4
3. 2
4. -9/0
5. 1
6. -6/4
Step-by-step explanation:
1. To find this numbers slope you have to go over and up (or down depending on where the line is going) You go over once and down three times to the next dot. This is why it is negative, because you go down
2. Same as number one you go over (Run) and up (Rise) . You go over 3 times and up 4. This makes it positive, since you are going up.
3. Stick to this formula (y2-y1)
(x2-x1)
-4-8
0-6 =-12/-6 =2
4. Same as 3
1-8
5-5 = -9/0
5. Go over 1 and up 1 this will equal 1/1 which is just 1.
6.
-2-4
-6-2 =-6/-8
This can be simplified down to -3/-4
For further explanation, look at the attachments
Hope this helps (:
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Answer:
( , 0 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 2 → (1)
2x - 3y = 1 → (2)
Adding (1) and (2) term by term will eliminate the y- term, that is
6x = 3 ( divide both sides by 6 )
x = =
Substitute x = into either of the 2 equations and evaluate for y
Substituting into (1)
4( ) + 3y = 2
2 + 3y = 2 ( subtract 2 from both sides )
3y = 0 ⇒ y = 0
Solution is ( , 0 )
We are given polynomial: .
We need to explain why the binomial (x + 2) IS a factor of this polynomial expression and why the binomial (x + 1) IS NOT a factor of this polynomial expression.
Let us set first factor equal to 0 and solve for x.
x+2=0
x=-2.
Plugging x=-2 in given polynomial, we get
<em>Because x=-2 gives 0 on plugging in given polynomial, so it's factor of given polynomial expression.</em>
Now, let us check second factor x+1=0
x=-1.
Plugging x=-1 in given polynomial, we get
=-5+8+7-6.
= -4.
<em>Because x=-1 doesn't gives 0 on plugging in given polynomial, so it's not a factor of given polynomial expression.</em>