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Ierofanga [76]
3 years ago
10

Last question, please help a friend out haha thanks :D

Mathematics
1 answer:
hjlf3 years ago
4 0
 Ax + By = C

3x + 2y = 12

A=3, B = 2 and C = 12
You might be interested in
Find the sum of the arithmetic sequence. 5,7,9,11,...,23
eduard

Answer:

140

Step-by-step explanation:

The arithmetic series is 5, 7, 9, 11, ........., 23.

First u have to determine the no. of terms that can be done by using

Tₙ = [a + (n - 1)d]

Tₙ-------nth term

a---------first term

n---------no.of terms in the series

d---------common difference

here a = 5,d = 2.

let it contain n terms Tₙ= [a + (n-1)d]

Substitute Tₙ, a, and d in the equation

23 = 5 + (n - 1)2

Subtract 5 from each side.

18 = (n-1)2

Divide each side by 2

(n - 1) = 9

Add 1 to each side

n = 9 + 1 = 10

The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]

Substitute Sₙ, a, n and d in the equation

Sₙ= (10/2)[2(5) + (10-1)2]

Sₙ= (5)[10 + (9)2]

Sₙ= 5[10 + 18]

Sₙ= 5[28] = 140

Therefore the sum of the arithmetic sequence is 140.

6 0
3 years ago
Claire is putting up a fence around her rectangular garden. The length is four less than double the width. The perimeter is 22 f
Doss [256]

Answer:

The dimensions are 6 by 5 feet.

Length = 6 feet.

Width = 5 feet.

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 2W - 4 ........equation 1

22 = 2L + 2W .......equation 2

Substituting the value of "L" into equation 2, we have;

22 = 2(2W - 4) + 2W

22 = 4W - 8 + 2W

22 + 8 = 6W

30 = 6W

W = 30/6

Width, W = 5 feet.

To find the length, L

Substituting the value of "W" into equation 1, we have;

L = 2W - 4

L = 2(5) - 4

L = 10-4

Length, L =6 feet

Therefore, the dimensions of the garden are 6 by 5 feet.

5 0
3 years ago
Please answer the file question.
viktelen [127]

Answer:48 16 = ?

27 9 = 9

60 20 - 10

Step-by-step explanation:

4 0
3 years ago
Expand. Your answer should be a polynomial in standard form. (b^2+5)(−b^2+7)=
Blizzard [7]

(b^2+5)(−b^2+7)

Use the FOIL METHOD to expand.

-b^4 + 7b^2 - 5b^2 + 35

-b^4 + 2b^2 + 35

Did you follow?

6 0
3 years ago
WILL GIVE BRAINLIST TO CORRECT ANSWER
faust18 [17]

Answer:

C) (9, 4)

Step-by-step explanation:

4 < 5☑

4 < 3[9] → 4 < 27☑

Therefore, this solution is genuine.

I am joyous to assist you anytime.

4 0
3 years ago
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