All categories

2 years ago

Use the Distributive Property to simplify the expression. 8(5g+5−2)=

Mathematics

2 answers:

erica [24]2 years ago

4 0

Answer:

40g + 24.

Step-by-step explanation:

So first do 8 * 5 = 40. So, 40g + 5.

And then multiply 8 and 2 which gives us 16.

40g + 40 - 16.

You can substract this so do it!

40g + 24.

Finger [1]2 years ago

3 0

Step-by-step explanation:

8(5g+5−2)=8×5g+3×8=40g+24

You might be interested in

Whats the answer? please help me

timofeeve [1]

The answer would be b

5 0

2 years ago

PLEASE HELP QUICK! I'M OFFERING 25PTS & BRAINLIEST ANSWER (Its only worth 10pts) I just need this done PLEASE SHOW YOUR WORK

LenaWriter [7]

QUESTION 1

The dimensions of the rectangular blanket are;

$l = (3x + 7)cm$

and

$w = (2x - 3)cm$

The perimeter is given by,

$p= 2w + 2l$

We substitute the dimensions to obtain,

$p = 2(2x - 3) + 2(3x + 7)$

Expand bracket to get,

$p = 4x - 6 + 6x + 14$

This simplifies to
$p =( 10x + 8 )cm$

QUESTION 2

When

$x = 4$
The perimeter becomes

$p =( 10(4) + 8 )cm$

$p =( 40 + 8 )cm$

$p =48cm$

QUESTION 3

Area is given by

$A=l \times w$
$A=(3x + 7)(2x - 3)$

We expand to get,

$A=6 {x}^{2} - 9x + 14x - 21$

This gives us,

$A=(6 {x}^{2} + 5x - 21) {cm}^{2}$

QUESTION 4

If
$x = 4$
Then the area becomes,

$A=6 {(4)}^{2} - 9(4)+ 14(4) - 21$

$A=6 \times 16 - 36+ 56- 21$

$A=96 - 36+ 56- 21$

$A=95 {cm}^{2}$

QUESTION 5.

When the length of the blanket is 5cm longer, then the length of the new blanket becomes

$l = (3x + 7 + 5)$

$l = (3x + 12)cm$

The width is still

$w = (2x - 3)cm$

The perimeter of the new blanket is

$p = 2(3x + 12) + 2(2x - 3)$

This implies that,

$p = 6x + 24+ 4x - 6$

$p = 10x +18$

Comparing to the old perimeter which is

$p = 10x +8$ ,

The perimeter changes by 10 units

8 0

2 years ago

ΔJKL is dilated about the origin with a scale factor of 2/3. Which of the following is the image point of K(6,12)?

Snowcat [4.5K]

Answer: (4,8) which is choice A

f = 2/3 is the scale factor

x = 6 and y = 12 pair up to get the coordinates for point K's location

multiply f by x and y to get the new location

f*x = (2/3)*6 = (2/3)*(6/1) = (2*6)/(3*1) = 12/3 = 4

f*y = (2/3)*12 = (2/3)*(12/1) = (2*12)/(3*1) = 24/3 = 8

The results we get are 4 and 8. So (6,12) moves to (4,8)

This scale factor 2/3 = 0.667 is less than 1, so the image is smaller compared to the pre-image.