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aev [14]
2 years ago
12

Find the next three terms of the arithmetic sequence.

Mathematics
1 answer:
Ludmilka [50]2 years ago
5 0

Answer:

c

Step-by-step explanation:

There is a common difference d between consecutive terms of an arithmetic sequence, that is

d = 13 - 10 = 16 - 13 = 19 - 16 = 3

To obtain the next term add the common difference 3 to the previous term.

a₅ = a₄ + 3 = 19 + 3 = 22

a₆ = a₅ + 3 = 22 + 3 = 25

a₇ = a₆ + 3 = 25 + 3 = 28

The next 3 terms are 22, 25, 28 → c

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The area of a square is (36d^2 - 360d + 9) in^2.
Ber [7]

Answer:

Step-by-step explanation:

36 d²-36 d+9=9(4d²+4d+1)

=9[4d²+2d+2d+1]

=9[2d(2d+1)+1(2d+1)]

=9(2d+1)(2d+1)

=9(2d+1)²

=[3(2d+1)]²

=(6d+6)²

length=6d+6

perimeter=4(6d+6)=24d+24

when d=2

length=6×2+6=18in

perimeter=4×18=72 in

area=18²=324 in²

8 0
2 years ago
Kate has a rectangular garden that is 8 feet long by 3 feet wide. She wishes to extend the length and width by the same amount i
elena55 [62]
<span>Let the extension of the length and width be x.
 The new dimensions are: Length = 8+x
  Width =3+x
 Area = 104 ft squared
 Area of a rectangle = Length x Width
 Therefore,
(8+x)(3+x) = 104
 x^2 +11x +24=104
 x^2 +11x +24-104=0
 x^2 +11x-80=0

 Factorize using splitting the middle term method. X^2 +16x-5x-80=0 x(x+16)-5(x+16)=0 (x-5)(x+16)=0 either x-5 = 0 or x+16=0 x=5 or x=-16 length and width measure cannot be negative. Therefore, the extension of the length and width is 5 feet each.</span>
4 0
3 years ago
Show two different ways to factor -4x - 28​
horsena [70]

Step-by-step explanation:

-4x - 28

x = -28 + 4

x = -24

I HOPE THIS IS CORRECT IN ONLY THIS WAY SORRY IF IT IS WRONG

CAN YPU MARK ME AS BRAINLIEST

5 0
3 years ago
Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare. The formula i
Aleonysh [2.5K]
<span>m = 4a + 2c

a = 25; c = 5

Replace a with 25. Replace c with 5.
Then evaluate the expression.

m = 4 * 25 + 2 * 5

m = 100 + 10

m = 110

Answer: 110 meatballs are needed.</span>
4 0
3 years ago
Best definition combining like terms
makkiz [27]
<span>A letter that holds the place for some unknown value in mathematics VARIABLE A process where you must look for terms that have identical variable parts and then combine their coefficients. COMBINING LIKE TERMS</span>
7 0
2 years ago
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