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3 years ago

Will mark brainliest need helpsimplify 4a^3b^2 x 3a^6b^5

Mathematics

2 answers:

Whitepunk [10]3 years ago

4 0

Answer:

12a^9b^7

Step-by-step explanation:

Multiply all like terms together.

4 times 3 = 12

a^3(a^6) = a^9

b^2(b^5) = b^7

Combine all together

Alex3 years ago

4 0

Answer:2160a2b2

Step-by-step explanation:

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Jamie needs to build a fence around his garden, as illustrated by polygon ABCDEF on the coordinate grid below. If each unit repr

NNADVOKAT [17]

Answer:

C. 26 yards

Step-by-step explanation:

Jamie's fence total length = perimeter of the polygon

Perimeter of the polygon = AB + BC + CD + DE + EF + FA

AB, FA and DE can be worked accordingly as shown below:

AB = |-5 - 0| = 5 units

FA = |5 - 2| = 3 units

DE = |1 -(-2)| = 3 units

BC, CD, and EF can be calculated using the formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Distance between B(0, 5) and C(4, 2):

$BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$B(0, 5) = (x_1, y_1)$

$C(4, 2) = (x_2, y_2)$

$BC = \sqrt{(4 - 0)^2 + (2 - 5)^2}$

$BC = \sqrt{(4)^2 + (-3)^2}$

$BC = \sqrt{16 + 9} = \sqrt{25}$

$BC = 5 units$

Distance between C(4, 2) and D(1, -2)

$CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$C(4, 2) = (x_1, y_1)$

$D(1, -2) = (x_2, y_2)$

$CD = \sqrt{(1 - 4)^2 + (-2 - 2)^2}$

$CD = \sqrt{(-3)^2 + (-4)^2}$

$CD = \sqrt{9 + 16} = \sqrt{25}$

$CD = 5 units$

Distance between E(-2, -2) and F(-5, 2):

$EF = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$E(-2, -2) = (x_1, y_1)$

$F(-5, 2) = (x_2, y_2)$

$EF = \sqrt{(-5 -(-2))^2 + (2 -(-2))^2}$

$EF = \sqrt{(-3)^2 + (4)^2}$

$EF = \sqrt{9 + 16} = \sqrt{25}$

$EF = 5 units$

Total length of the wall in yards = 5 + 5 + 5 + 3 + 5 + 3 = 26 yards

4 0

3 years ago

A pitcher contains 4.32-pint of lemon syrup. 12.6 pint of water are added to the syrup to make lemonade. How much lemonade is ma

Gemiola [76]

Answer:

16.92 pints of lemonade was made

Step-by-step explanation:

6 0

3 years ago

6. Evaluate the following expression: 10 + 4(6-2) А. 56 B. 82 С. 18 D. 26

irakobra [83]

Answer:

D. 26

Step-by-step explanation:

$10+4(6-2)\\10+4(4)\\10+16\\26$

7 0

3 years ago

Read 2 more answers

3a+11=7a-13 with shown work

DaniilM [7]

3a+11=7a-13

move 7a to the other side

sign changes from +7a to -7a

3a-7a+11= 7a-7a-13( combine like terms)

3a-7a+11= -13

-4a+11= -13

move 11 to the other side

sign changes from +11 to -11

-4a+11-11= -13-11

-4a= -13-11

-4a= -24

divide both sides by -4 to get a by itself

-4a/-4= -24/-4

Answer: a= 6

4 0

4 years ago

a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many cal

Leona [35]

Answer:

96 and 192 calories

Step-by-step explanation:

Given

72 calories in a 3/4 cup

Divide both by 3/4 to find the unit rate:

72:3/4 in 3/4:3/4
96 calories in 1 cup

Then multiply both by 2 to get the calories for 2 cups:

96*2 = 192 calories

7 0

3 years ago