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3 years ago

B^2+ 8b + 12 = (b + 6) (?) find the other binomial which will complete the factorization

Mathematics

2 answers:

Naya [18.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

natima [27]3 years ago

7 0

Answer:

Step-by-step explanation:

______________________________________________________

here we gonna use a rule:

if x1 and x2 are rooots of the quadratic equation: ax² + bx + c = 0

then x1 + x2 = -b/a

______________________________________________________

b^2+ 8b + 12 = (b - b1) (b - b2)

This prove that “b1 = -6” is a root of the quadratic equation b^2+ 8b + 12 = 0

since, the sum of roots b1 + b2 = -8/1 = -8 then b2 = -8 - b1 = -8 - (-6) = -2

then

b^2+ 8b + 12 = (b - (-6)) (b - (-2))

= (b + 6) (b+ 2).

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Not really math 20 points for this though what are Fiona's parents names

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King Harold + Queen Lilian = Fiona

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3 years ago

A coordinate grid is placed over a college Station map. Tiger Stadium is located at (-3,2)

Olin [163]

Answer:

$4.61\ units$

Step-by-step explanation:

The complete question is

A coordinate grid is placed over a College Station map. Tiger Stadium is located at (-3, 2) and Kyle Field is located at (4, 8). If a shuttle bus stop is at the midpoint between Tiger Field and Kyle Field, which is the closest to the distance in coordinate units from Tiger Field to the shuttle bus stop?

Options

4.61 units

6.52 units

9.22 units

21.25 units

step 1

Find the midpoint between Tiger Field and Kyle Field ( shuttle bus stop)

we know that

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have the points

(-3, 2) and (4, 8)

substitute in the formula

$M=(\frac{-3+4}{2},\frac{2+8}{2})$

$M=(0.5,5)$

step 2

Find the distance from Tiger Field to the shuttle bus stop

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the points

(-3,2) and (0.5,5)

substitute in the formula

$d=\sqrt{(5-2)^{2}+(0.5+3)^{2}}$

$d=\sqrt{(3)^{2}+(3.5)^{2}}$

$d=\sqrt{21.25}\ units$

$d=4.61\ units$

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3 years ago

In a new movie

Lady_Fox [76]

Answer. 655.4

Step-by-step explanation:

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3 years ago

If a cube has a volume of 8 cm what is it's side length?

lana [24]

Side length: 2 cm.

Volume of a cube:
V=a^3
(where V is volume, and a is side length)

If v=8, the formula would now be 8=a^3

Take the cube root of both sides

a=2.

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3 years ago

AA3+2=AAA CC6+6=CBB (AB|C) ->S57->E73->S47->E57->S43->W26->S18->?

Paladinen [302]

The question asks:
"Mark Atilius was expecting news from his friends with whom he agreed to reveal the great secret pyramids and spent his time at a nearby inn when he caught the attention of the Egyptian sitting beside him. He was even more surprised when he talked to him.
- You're Mark Atilius, are not you? she smiled - My name is Nefertari and I have a message for you from my grandmother. You should go right away if you want to get Pharaoh's belt you've been looking for all this time.
And he passed on the parchment he had just read.

 AA3 + 2 = AAA
CC6 + 6 = CBB
(AB | C) -> S57 -> E73-> S47-> E57-> S43-> W26-> S18->? 
Task: Find out the coordinates where Mark should come. "

First, you need to solve for the position from which Mark starts.
You know:
AA3 + 2 = AAA
Since 3 + 2 = 5,
553 + 2 = 555
Therefore A = 5.

Similarly:
CC6 + 6 = CBB
Since 6+6 = 12, B = 2.
In order from the middle digit to be 2, the original one must have been 1.
Therefore B = 2 and C = 1

Hence, the starting position is: (AB, C) = (52, 1)

The following line gives you how many steps and in what direction Mark should go: S = south (negative vertical motion), N = north (positive vertical motion), E = east (positive horizontal motion), W = west (negative horizontal motion).

(52, 1)
-> S57 -> (52, -56)
-> E73 -> (125, -56)
-> S47 -> (125, -103)
-> E57 -> (182, -103)
-> S43 -> (182, -146)
-> W26 -> (156, -146)
-> S18 -> (156, -164)

Hence, the coordinates that Mark should reach are (156, -164)

5 0

2 years ago