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Fiesta28 [93]
3 years ago
7

What is the greatest common factor of 15x^3y^2 and 20x^4y^4?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
6 0
<h3>What is the greatest common factor of 15x³y² and 20x⁴y⁴? ​</h3>

​<em>First we have to find the factors of 15x³y²</em>

<em>15x³y² = 3 * 5x³y² ​</em>

<em>​Then we have to find the factors of 20x⁴y⁴</em>

<em>​20x⁴y⁴ = 2²x¹y² * 5x³y²</em>

<em>Now we have to find the common factors to both numbers.​</em>

<em>The common factors are </em><em>5x³y²</em>

Answer : GCF = (15x³y²,20x⁴y⁴) = 5x³y²​

​Hope this helps!​​​​

​​\textit{\textbf{Spymore}}​​​​​​

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What is the distance between -8/5 and -3/5<br> A.-1<br> B.1<br> C.11/5<br> D. -11/5
Maurinko [17]

Answer:

1

Step-by-step explanation:

Subtract the two numbers and take the positive value  ( since distance is positive)

-8/5 - (-3/5)

-8/5 + 3/5

-5/5

-1

Taking the positive value, 1

4 0
3 years ago
How do i do this ???
Westkost [7]

a peculiar thing about the centroid of a triangle, is that it cuts all the medians in a 2:1 ratio, so JP : PM are on a 2:1 ratio, thus

\bf JP:PM\qquad 2:1\qquad \cfrac{JP}{PM}=\cfrac{2}{1}\implies \cfrac{27}{PM}=\cfrac{2}{1}\implies \cfrac{27}{2}=PM\\\\-------------------------------\\\\JM=JP+PM\implies JM=27+\cfrac{27}{2}\implies JM=\cfrac{54+27}{2}\\\\\\JM=\cfrac{81}{2}\implies JM=40\frac{1}{2}

4 0
3 years ago
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
3 years ago
Read 2 more answers
4. Which operation should be completed first in the expression below? Use PEMDAS to evaluate. 24 ÷ (12 – 8) x 6 + 3 a. Add b. Su
irinina [24]

Answer:

Option b - Subtract

Step-by-step explanation:

Given : Expression 24\div(12-8)\times 6+3

To find : Which operation should be completed first in the expression below?

Solution :

P - Parentheses

E - Exponent

D - Divide

M - Multiplication

A - Addition

S - Subtraction

In the first step we solve the bracket in the expression  24\div(12-8)\times 6+3

So, we do subtraction i.e. 12-8=4

Therefore, option b is correct.

5 0
3 years ago
This is very important!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
SpyIntel [72]

Answer:

Step-by-step explanation:

5 0
3 years ago
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