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vitfil [10]
2 years ago
6

A rectangle has a width represented by the expression 2y and a length represented by 12y - 5. which expression represents the ar

ea of the rectangle? 12y2 – 5y 24y2 – 10y 24y – 10 28y – 10
Mathematics
1 answer:
docker41 [41]2 years ago
6 0

Correct option is B. Area of rectangle is 24y^{2} - 10 y

We know that area of rectangle = Length × Width

We are given,

Length = 12y - 5

Width = 2y

So, area of rectangle = (12y - 5) × (2y)

=   (12y - 5) × (2y)

=   (12y ×  2y) - (5 × 2y)

=   24 y^{2} - 10 y

<h3>What are algebraic equations?</h3>

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. Also Check: Algebraic Expressions. In simple words, equations mean equality i.e. the equal sign.

To learn more about algebraic equations from the given link

brainly.com/question/11516438

#SPJ4

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What is the smallest integer $n$, greater than $1$, such that $n^{-1}\pmod{130}$ and $n^{-1}\pmod{231}$ are both defined?
olasank [31]

First of all, the modular inverse of n modulo k can only exist if GCD(n, k) = 1.

We have

130 = 2 • 5 • 13

231 = 3 • 7 • 11

so n must be free of 2, 3, 5, 7, 11, and 13, which are the first six primes. It follows that n = 17 must the least integer that satisfies the conditions.

To verify the claim, we try to solve the system of congruences

\begin{cases} 17x \equiv 1 \pmod{130} \\ 17y \equiv 1 \pmod{231} \end{cases}

Use the Euclidean algorithm to express 1 as a linear combination of 130 and 17:

130 = 7 • 17 + 11

17 = 1 • 11 + 6

11 = 1 • 6 + 5

6 = 1 • 5 + 1

⇒   1 = 23 • 17 - 3 • 130

Then

23 • 17 - 3 • 130 ≡ 23 • 17 ≡ 1 (mod 130)

so that x = 23.

Repeat for 231 and 17:

231 = 13 • 17 + 10

17 = 1 • 10 + 7

10 = 1 • 7 + 3

7 = 2 • 3 + 1

⇒   1 = 68 • 17 - 5 • 231

Then

68 • 17 - 5 • 231 ≡ = 68 • 17 ≡ 1 (mod 231)

so that y = 68.

3 0
3 years ago
Directions: Solve each equation. Show<br> -26 = -9x + 10<br><br> What is the answer?
Ymorist [56]

Answer:

-26= -9x + 10

-26 - 10= -9x

-36=-9x

-36:(-9)=x

4=x

Step-by-step explanation:

1. you pass +10 to the left in minus

2. you resolve what you've got on the left

then you pass the multiplying -9 to the left dividing

4 0
3 years ago
How can you tell that 7.630 and 7.63 are equivalent decimals?
nataly862011 [7]
Because an equivalent decimal names the same amount as another decimal.  the 0 has no value
8 0
3 years ago
Read 2 more answers
What is this? Help would be highly appreciated:)
In-s [12.5K]

Answer:

19

Step-by-step explanation:

straight line=180°

180-123=57

57/3=19

19*3=57

8 0
3 years ago
A point is selected at random inside the given figure.
Westkost [7]
The answer is/was 2/15. 

I hope this helps/helped anybody now or in the future.
3 0
3 years ago
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