Please help me solve this...<br> (Exterior Angle theorem)

Which expressions are completely factored? Select each correct answer. 18y^3−6y=3y(6y^2−2) 32y^10−24=8(4y^10−3) 20y^7+10y^2=5y(4

Vladimir79 [104]

Answer:

The expressions that completely factored are:

$32y^{10}-24$ = 8( $y^{10}-3$ ) ⇒ 2nd

$16y^{5}+12y^{3}=4y^{3}(4y^{2}+3)$ ⇒ 4th

Step-by-step explanation:

Complete factorization means the terms in the bracket has no common factor

∵ The expression is 18y³ - 6y

- Find the greatest common factor of the numbers and the variable

∵ The greatest common factor of 18 and 6 is 6

∵ The greatest common factor of y³ and y is y

∴ The greatest common factor is 6y

- Divide each term by 6y to find the terms in the bracket

∴ 18y³ - 6y = 6y(3y² - 1) ⇒ not the same with the answer

∵ The expression is $32y^{10}-24$

∵ The greatest common factor of 32 and 24 is 8

∴ The greatest common factor is 8

- Divide each term by 8 to find the terms in the bracket

∴ $32y^{10}-24$ = 8( $y^{10}-3$ ) ⇒ the same with the answer

∴ The expression $32y^{10}-24$ = 8( $y^{10}-3$ ) is completely factored

∵ The expression is $20y^{7}+10y^{2}$

∵ The greatest common factor of 20 and 10 is 10

∵ The greatest common factor of $y^{7}$ and y² is y²

∴ The greatest common factor is 10y²

- Divide each term by 10y² to find the terms in the bracket

∴ $20y^{7}+10y^{2}=10y^{2}(2y^{5}+1)$ ⇒ not the same with the answer

∵ The expression is $16y^{5}+12y^{3}$

∵ The greatest common factor of 16 and 12 is 4

∵ The greatest common factor of $y^{5}$ and y³ is y³

∴ The greatest common factor is 4y³

- Divide each term by 4y³ to find the terms in the bracket

∴ $16y^{5}+12y^{3}=4y^{3}(4y^{2}+3)$ ⇒ the same with the answer

∴ The expression $16y^{5}+12y^{3}=4y^{3}(4y^{2}+3)$ is completely factored

The expressions that completely factored are:

$32y^{10}-24$ = 8( $y^{10}-3$ )

$16y^{5}+12y^{3}=4y^{3}(4y^{2}+3)$

3 0

3 years ago

PLEASE HELP: Find the measure of each angle in the isosceles

erma4kov [3.2K]

Answer:

gtntt4bgt4thn

Step-by-step explanation:

3 0

3 years ago

If f(1) = 5, then (1,5) is an ordered pair of function f. True False

zlopas [31]

Answer:

I think true

Step-by-step explanation:

i am not sure but f(1)=5 hereA=1 andB=5 so i belif this is true function

4 0

3 years ago

Read 2 more answers

A line passes through the points (-5, 2) and (10.-1). Which is the equation of the line?

Igoryamba

Answer:

y= -1/5x + 1

Step-by-step explanation:

When looking for a line between two points, you want to use the following formula: (y2-y1)/(x2-x1) which finds your distance between points for the y and x coordinate to solve for your slope. y1 is the y coordinate from the first given point and x1 is the x coordinate from the first given point as well. this would go the same for x2 and y2 for the second given equation.

Next, we plug in our values so that we get (-1-2)/(10-(-5)). This will then lead us with -3/15 which simplifies to -1/5. This is our slope. Now that we have our slope we can rule out every option except the first for the answer. However, if we want to look for the entire answer we need to plug in one of our given values in the formula we have: y=-1/5x.

So to find the y-intercept, we can plug in any of the given coordinates so we can fo (10,-1) so that -1=-1/5(10)+b (b what added because we are putting the equation in slope-intercept, therefore we need to find the value b.) So we are left with -1=-2+b now we want to isolate b by adding 2 on both sides to cancel -2 and get 1=b. This would leave us with the equation y=-1/5x+1.

5 0

3 years ago

Izzie recently took a math test where each correct answer (a) on the main part of the test was worth 5.8 points. She also correc

vekshin1

Answer:your answer is D:11

Step-by-step explanation:

Just do 11×5.8 on your paper where it says show your work then you add 15

3 0

3 years ago

Read 2 more answers

Please help me solve this... (Exterior Angle theorem)