Answer:
Yes, lines CD & AB are perpendicular
Step-by-step explanation:
AB slope: y = -12/8x + 7
CD slope: y = 6/9x - 6
Once the slopes are simplified:
AB: -3/2
CD: 2/3
Hope this helps!
<span> (x + 3) • (x - 12)
</span>
The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.
<span><span> -36 + 1 = -35</span><span> -18 + 2 = -16</span><span> -12 + 3 = -9 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
<span>x2 - 12x</span> + 3x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
3 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-12)
Which is the desired factorization
Final result :<span> (x + 3) • (x - 12)</span>
Solution
To find out which expressions represent the difference of exactly
two expressions
a) 6(x+7) - 2
This can be simplified as
6x + 42 - 2
6x + 40
Clearly this does not represent difference of the two
expressions .
b) -2j
Clearly this represents a single expression , this does not represent
a difference of 2 expression .
c) 4f - 2g
Here we have 2 different expressions 4f and 2g
Difference of these 2 expressions are 4f - 2g
Hence , this option represent difference of exactly two
expression
d) 3xyz - 10
3xtz - 10 represnts a single expression
Here we have a single expression
Therefore it does not represent difference of exactly 2
expression .
Answer:
The first two graphs are the exact same but it is the first two.
Step-by-step explanation:
If you are trying to calculate how many people like certain flavors of ice cream.
