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shusha [124]
3 years ago
14

The length of a rectangle is 4 in longer than its width.

Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0

Answer:

60 sq in

Step-by-step explanation:

Perimeter = 2l + 2w

If l = w+4

Perimeter = 2(w+4) + 2w

Perimeter = 4w+8

32 = 4w + 8

24 = 4w

6 = w

If w = 6, l = 6+4 = 10

Area = l * w

Area = 10 * 6

Area = 60

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I need help with number 10 please I’m so confused on how to do it!
Solnce55 [7]

Given:

A figure.

m \angle C D A=9 x+3 and m \angle E D A=6 x+5

To find:

What kind of figure and the value of x

Solution:

All four sides are congruent.

Diagonals bisect each other.

There the given figure is rhombus.

Diagonals bisect the angles.

⇒ m \angle C D A=m \angle E D A

9 x+3=6x+5

Subtract 3 on both sides.

9 x+3-3=6x+5-3

9 x=6x+2

Subtract 6x from both sides.

9 x-6x=6x+2-6x

3x=2

Divide by 3 on both sides.

$\frac{3x}{3} =\frac{2}{3} $

$x=\frac{2}{3} $

The value of x is \frac{2}{3}.

5 0
3 years ago
Whats the variable of 1
Fudgin [204]

Answer:

There are no variables, there is only a 1

Step-by-step explanation:

7 0
3 years ago
A binary operation is defined on the set of real numbers ℝ by
zloy xaker [14]

Answer:

I. m = 2401

II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

Step-by-step explanation:

I. Determination of m

x ∆ y = x² − 2xy + y²

2 ∆ − 5 = √m

2² − 2(2 × –5) + (–5)² = √m

4 – 2(–10) + 25 = √m

4 + 20 + 25 = √m

49 = √m

Take the square of both side

49² = m

2401 = m

m = 2401

II. Simplify ((n+1) ∆ y)/n

We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:

x ∆ y = x² − 2xy + y²

(n+1) ∆ y = (n+1)² – 2(n+1)y + y²

(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²

(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1

(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1

(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1

(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1

(n+1) ∆ y = (n – y + 2)(n – y) + 1

((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n

((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

7 0
3 years ago
-3x-3y=3 and y=5x-17
Vesna [10]
The answer for this question is "y = -5/3 and x = 8/3"
5 0
3 years ago
Find the slope and y-intercept of the line
Serhud [2]

Answer:

C

Step-by-step explanation:

The slope is 1.  Note how each time x increases by 1 unit, y also increases by 1 unit.

The y-intercept is (0, -1).

Answer C is correct.

5 0
3 years ago
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