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Len [333]
4 years ago
5

Simplify using the horizontal method. (2n^2+4n+4)(4n-5)

Mathematics
1 answer:
xz_007 [3.2K]4 years ago
5 0
Your answer would be 8n³ + 6n² - 4n - 20.

The horizontal method for simplifying binomials is to simply multiply the terms in the first bracket by the terms in the second bracket. Written out, this looks like:

(2n² × 4n) + (4n × 4n) + (4 × 4n) + (2n² × -5) + (4n × -5) + (4 × -5).

Then, we just need to do the operations in the brackets, which gives us:

8n³ + 16n² + 16n - 10n² - 20n - 20

And finally we collect the like terms to simplify, which means doing 16n² - 10n² = 6n², and 16n - 20n = -4n, so the final answer is 8n³ + 6n² - 4n - 20.

I hope this helps!
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Which is a valid conclusion that can be drawn from these statements?
photoshop1234 [79]

Answer:

both statement have valid conclusions.

Step-by-step explanation:

A rhombus is a parallelogram with all sides equal.

A parallelogram has opposite angles congruent.

Therefore

both statements have valid conclusions.

5 0
3 years ago
1. M is the midpoint of LN and O is the midpoint of NP.
Reptile [31]
1. M is the midpoint of LN and O is the midpoint of NP. This makes the triangle MNO equal to half of LNP. Then you can get this equation
MO= (1/2) LP

If you insert MO = 2x +6 and LP = 8x – 20 the calculation would be:
2x+6= (1/2)( 8x-20)
2x+6= 4x-10
2x-4x= -10 - 6
-2x= -16
x=8

2. Centroid is the point that intersects with three median lines of the triangle. The centroid should divide the median lines into 1:2 ratio. In AC lines, A located in the base so A.F:FC would be 1:2

Then, the answer would be:
A.F= 1/(1+2) * AC
A.F= 1/3 * 12= 4

FC= 2/(1+2) * AC
FC= 2/3 * 12= 8

3. Since
∠BAD=∠DAC
∠ABD=∠ACD
AD=AD
The triangle ABD and ACD are similar. You can get this equation
BD=DC
x+8= 3x+12
x-3x= 12-8
-2x=4
x=-2

DC=3x+12= 3(-2) +12= 6

4. Orthocenter made by intersection of triangle altitude
A
BC lines slope would be (-4)-(-1)/1-4= -3/-3= 1. The altitude line slope would be -1, the function would be:
y=-x +a
0= 1+a
a=-1
y=-x-1
B
AC lines slope would be (-4)-(-1)/1-0= -3. The altitude line slope would be 1/3, the function would be:
y=1/3x+a
-1=1/3(4)+a
a=-7/3
y=1/3x - 7/3

C
BC lines slope would be (-1)-(-1)/4 = 0/4. 
The line would be 
0=x+a
a=-1
0=x-1
x=1

y=-x-1 = 1/3x-7/3
-x-(1/3x)=-7/3 +1
-4/3x= -4/3
x=1

y=-x-1
y=-1-1= -2
The orthocenter would be (1,-2)

5. 
a. Circumcenter: the intersection of perpendicular bisector lines<span>
b. Incenter: the intersection of bisector lines
c. Centroid: </span>the intersection of median lines<span>
d. Orthocenter: </span>the intersection of altitude lines
5 0
3 years ago
What is the value of s?3/8 (s 9 ) = −19?
denpristay [2]
S=<span>−<span>1.546727
hope this helps.</span></span>
8 0
3 years ago
Which pair shows equivalent expressions?
HACTEHA [7]

Answer:

18/6=324/6=418/24=3/4

Step-by-step explanation:

if you multiply 2 times something you can’t get anything 11. the closest denominator is 5 and 5x2=10 so you have one left to get 11 so the answer is =5with 1$ still left. maria can buy 5 fish but she will have 1$ left over.

Hope this helps.

8 0
3 years ago
Find the sum.<br> negative 4 plus 16
lorasvet [3.4K]

Answer:

postive 12

Step-by-step explanation:

16-4=12


6 0
3 years ago
Read 2 more answers
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