What is 21m-49n factored using GCF

Plz Help Meee!!!!! >.<

lora16 [44]

The answer is: the light rays refract toward a central axis.

5 0

3 years ago

Choose the correct simplification of the expression a2 ⋅ a3. a a6 a5 a−1

alina1380 [7]

Answer: The correct option is (C) $a^5.$

Step-by-step explanation: We are given to choose the correct simplification for the following expression :

$P=a^2.a^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following property of exponents :

$x^a.x^b=x^{a+b}.$

So, the simplification of expression (i) is as follows :

$P\\\\=a^2.a^3\\\\=a^{2+3}\\\\=a^5.$

Thus, the correct simplification of the given expression is $a^5.$

Option (C) is CORRECT.

3 0

3 years ago

Read 2 more answers

Factorise 15x + 35y - 40 z

Amanda [17]

15x + 35y - 40 z = 5 (3x + 7y -8z)

hope that helps
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5 0

3 years ago

Read 2 more answers

On Monday, Avi walked from his home to the school track and walked 4 laps around the track for a total of 3.5 miles. On Saturday

anyanavicka [17]

Answer:

3.5 = x + 4*y

4 = 2x + 2*y

Step-by-step explanation:

The total distance ran by Avi is the sum of the distance from his house to the track, and the total distance ran in the tracks (that is, the distance of one lap times the number of laps Avi ran).

If we call 'd' the total distance and 'k' the number of laps, we have the equation:

d = x + k*y

So with the data given, we can have the following system:

3.5 = x + 4*y

4 = 2x + 2*y

In the second equation, we have 2x because Avi ran from his home to the track, and in the end ran back home, so Avi ran the distance x two times.

4 0

3 years ago

Simplify the expression below. 12b + 86 + 5b 0 25 + b O 25(3b) 25b 3b

Alja [10]

(1): "^-5" was replaced by "^(-5)". 3 more similar replacement(s)

STEP

1

:

Equation at the end of step 1

((25•(b-1))•(c-3))

(((12•(b4))•(c-6))•——————————————————)•((2•5b(-5))•c)

((15•(b3))•(c4))

STEP

2

:

Equation at the end of step

2

:

((25•(b-1))•(c-3))

(((12•(b4))•(c-6))•——————————————————)•(2•5b(-5)c)

((3•5b3)•c4)

STEP

3

:

Equation at the end of step

3

:

(52b(-1)•c(-3))

(((12•(b4))•(c-6))•———————————————)•(2•5b(-5)c)

(3•5b3c4)

STEP

4

:

52b(-1)c(-3)

Simplify ————————————

(3•5b3c4)

Dividing exponential expressions :

4.1 b(-1) divided by b3 = b((-1) - 3) = b(-4) = 1/b4

Dividing exponential expressions :

4.2 c(-3) divided by c4 = c((-3) - 4) = c(-7) = 1/c7

Dividing exponents:

4.3 52 divided by 51 = 5(2 - 1) = 51 = 5

Equation at the end of step

4

:

5

(((12•(b4))•(c-6))•—————)•(2•5b(-5)c)

3b4c7

STEP

5

:

Equation at the end of step

5

:

5

(((22•3b4) • c(-6)) • —————) • (2•5b(-5)c)

3b4c7

STEP

6

:

Canceling Out :

6.1 Canceling out b4 as it appears on both sides of the fraction line

Dividing exponential expressions :

6.2 c(-6) divided by c7 = c((-6) - 7) = c(-13) = 1/c13

Canceling Out:

6.3 Canceling out 3 as it appears on both sides of the fraction line

Equation at the end of step

6

:

20

——— • (2•5b(-5)c)

c13

STEP

7

:

Multiplying exponents:

7.1 22 multiplied by 21 = 2(2 + 1) = 23

Multiplying exponents:

7.2 51 multiplied by 51 = 5(1 + 1) = 52

Dividing exponential expressions :

7.3 c1 divided by c13 = c(1 - 13) = c(-12) = 1/c12

Final result :

200

—————

b5c12 Answer:

Step-by-step explanation:

5 0

2 years ago