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4 years ago

(-2a cubed b squared)(3a to the forth b to the sixth)

Mathematics

1 answer:

11111nata11111 [884]4 years ago

8 0

Answer:

-6a⁷b⁸

Step-by-step explanation:

(-2a³b²)(3a⁴b⁶)

remove parenthesis:

-2a³b²3a⁴b⁶

reorganize the expression:

-2 × 3a³a⁴b²b⁶

simplify:

-6a⁷b⁸

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If we draw lines to join each given point to the origin, identify the points whose corresponding line has a slope that is an int

xz_007 [3.2K]

Answer:

The slopes of OA, OB ans OC are integer values.

Step-by-step explanation:

If a line passing through two points then the slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}$

If one point is origin then the slope of the line is

$m=\frac{y_2-0}{x_2-0}=\frac{y_2}{x_2}$

The slope of line OA is

$m_{OA}=\frac{8}{2}=4$

It is an integer.

The slope of line OB is

$m_{OB}=\frac{9}{3}=3$

It is an integer.

The slope of line OC is

$m_{OC}=\frac{8}{4}=2$

It is an integer.

The slope of line OD is

$m_{OD}=\frac{8}{5}$

It is not an integer.

The slope of line OE is

$m_{OE}=\frac{7}{6}$

It is not an integer.

The slope of line OF is

$m_{OF}=\frac{6}{7}$

It is not an integer.

Therefore the slopes of OA, OB ans OC are integer values.

3 0

3 years ago

Read 2 more answers

What is the sum of 2x + 1 + 5x

zmey [24]

7x + 1

Combine like terms: 2x + 5x
Then add the remaining terms: 7x + 1

5 0

3 years ago

Read 2 more answers

The area of a rectangle is 320 in^2. The ratio of the length to the width is 5:4. Find the length and the width.

Leviafan [203]

Answer:

length: 20 in
width: 16 in

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is 5/4w, and the area is ...

A = LW

320 in² = (5/4w)(w)

256 in² = w² . . . . . . . . . multiply by 4/5

16 in = w . . . . . . . . . . . . take the square root

5/4w = 5/4(16 in) = 20 in . . . . the length

The length of the rectangle is 20 inches; its width is 16 inches.

8 0

2 years ago

I’ll give brainlest please help!

boyakko [2]

The surface area is 158 inches.

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3 years ago

Trudy is starting a comic book collection. Let Cn represent the number of comic books that Trudy has after n weeks. The recursiv

vitfil [10]

Answer:

(A)

$C_n=3+2n$

(B)

$C_1_0=23$

Step-by-step explanation:

(A)

we are given

$C_n_+_1=C_n+2$

$C_1=5$

Firstly, we will find few terms

$C_2=C_1+2$

$C_2=5+2$

$C_2=7$

$C_3=C_2+2$

$C_3=7+2$

$C_3=9$

$C_4=C_3+2$

$C_4=9+2$

$C_4=11$

so, we will get terms as

5, 7 , 9 , 11

we can see that this is arithematic sequence

First term =5

common difference =d=7-5=2

now, we can use nth term formula

$C_n=C_1+(n-1)d$

now, we can plug values

$C_n=5+2(n-1)$

$C_n=5+2n-2$

$C_n=3+2n$

(B)

we can plug n=10

$C_1_0=3+2\times 10$

$C_1_0=23$

8 0

3 years ago