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sp2606 [1]
3 years ago
5

Find the complete factorization of the expression.

Mathematics
2 answers:
taurus [48]3 years ago
7 0
It well be B.) they all have a factor of 2
shusha [124]3 years ago
7 0

Answer:

B) 2x(5zy + 12y + 3z)

Step-by-step explanation:

First, all coefficient for each term are a pair number, therefor 2 is common factor for all these

10xyz + 24xy + 6xz=>2(5zxy + 12xy + 3xz )

then, the variable X is present for each term of the funtion (5zxy + 12xy + 3xz), so, the variable X is a common factor to.

2(5zxy + 12xy + 3xz )=> 2x(5zy + 12y + 3z )

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points a,b and c are collinear on AC, and AB:BC=3/4. A is located at (x,y), B is located at (4,1), and c is located at (12,5). w
olga_2 [115]
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:

We use the distance formula to find the distance between coordinates:

3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²]  = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28  --> eqn 1

The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2

Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1

So, the second equation is

y = 1/2x -1 or x = 2 + 2y --> eqn 2

Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28 
Solving for y, 
y = -2
x = 2+2(-2) = -2

Therefore, the coordinates of point A is (-2,-2).

5 0
2 years ago
Read 2 more answers
The science club at Jersey High School is sponsoring a dance to raise money for their spring project. They will charge $4 per st
Dennis_Churaev [7]

Answer: 195

Step-by-step explanation:

Cost per student = $4

Total number who attended = n

The cost of the total of student who attended will be cost per student multiplied by the total number of students, that is

Total cos = 4n

Since, they are to pay $140 , for publicity, then the total cost becomes

T = 4n - 140

From the last statement

4n - 140 ≥ 640

4n ≥ 640 + 140

4n ≥780

n ≥ 780/4

n ≥ 195

That means at least 195 students must attend if the science club is to earn at least $ 640

6 0
2 years ago
I need all the angles of all four please, I uploaded them in order of each question
adelina 88 [10]

Answer:

Blurry

Step-by-step explanation:

8 0
3 years ago
Solve system of equations for x + y: -4x + 9y = -11 & -3x + 7y =-9
Aloiza [94]

Answer:

x = -3   and   y = -4

x + y = -3-4 = -7

Step-by-step explanation:

-4x + 9y = -11 ------------------------------------------------------------------------(1)

-3x + 7y = -9--------------------------------------------------------------------------(2)

multiply through  equation (1) by 3   and multiply through equation(2) by 4

-12x + 27y = -33 -----------------------------------------------------------------------(3)

-12x + 28y   = -36 ----------------------------------------------------------------------(4)

subtract equation (1) from equation (2)

y = -3

substitute y = -3 into equation (2)

-3x + 7(-3) = -9

-3x -21 = -9

add 21 to both-side of the equation

-3x -21 + 21 = -9 + 21

-3x = 12

divide both-side of the equation by -3

-3x/-3 = 12/-3

x = -4

x = -3   and   y = -4

8 0
3 years ago
What elements, found on the right side of the periodic table, usually accept electrons and have a negative valence? A. metals B.
krek1111 [17]
<h2>ANSWER:</h2><h3>Non Elements</h3><h3 /><h2>NOTES:</h2><h3>With the exception of HYDROGEN, the elements on the left side of the periodic table are METALS. Elements on the right side of the periodic table are NONMETALS.</h3>
5 0
2 years ago
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