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Lisa [10]
4 years ago
12

Type the correct answer in each box. The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle i

s 24 inches. The equation 2x + 2(x + 2) = 24, where x is the width in inches, represents this situation. The value of x from the set {1, 3, 5, 7} that holds true for the equation is . So, the width of the rectangle is inches and its length is inches.
Mathematics
1 answer:
Reika [66]4 years ago
6 0

Step-by-step explanation:

The equation that represents the perimeter of the rectangle is given as;

2x + 2(x + 2) = 24 where x represents the width.

We solve for x;

2x + 2x + 4 = 24

4x + 4 = 24

4x = 24 - 4

4x = 20

x = 20/4

x = 5

We were informed that the length of the rectangle is 2 inches more than its width. This implies that the length is x+2 = 5+2 = 7.

The value of x from the set {1, 3, 5, 7} that holds true for the equation is 5. So, the width of the rectangle is 5 inches and its length is 7 inches.

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7 0
4 years ago
Write the equation of the line in slope intercept form that passes through (10,21) and (15,36)
Tema [17]

Answer:

y = 3x - 9

Step-by-step explanation:

First, find the slope using rise/run (y2 - y1) / (x2 - x1)

Plug in the points:

(36 - 21) / (15 - 10)

15/5

= 3

Next, plug the slope and a point into the equation y = mx + b to find b (y-int)

y = mx + b

21 = 3(10) + b

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Then, plug this into the equation, as well as the slope:

y = 3x - 9

6 0
3 years ago
The elevations of five points below sea level are given here. Which elevation is closest to sea level? A. -50 feet B. -68 feet C
amm1812

Answer:

A. -50 feet

Step-by-step explanation:

To find the number closest to sea level, take the absolute value of each number and see which is closest to zero.

A. -50 feet   abs (-50) = 50

B. -68 feet  abs (-68) = 68

C. -77 feet   abs (-77) = 77

D. -86 feet  abs ( -86) = 86

E. -97 feet  abs (-97) = 97


The smallest number is 50.  -50 ft is closest to sea level

5 0
3 years ago
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Answer:

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3 years ago
Which of the following sets is a subspace of set of prime numbers P Subscript nℙn for an appropriate value of​ n? A. All polynom
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Answer:

Check the explanation

Step-by-step explanation:

A. All polynomials of the form p(t) = a + bt2, where a and b are in: This means that  A is closed under scalar mult and vector addition, and includes the zero vector.

B.All polynomials of degree exactly 4, with real coefficients: what this means is that under vector addition, B isn't closed, and it does not consist of the zero vector. What it consist of  is just polynomials with degree exactly 4. Let f=x4+1f=x4+1 and let g=−x4g=−x4. Both are in B, but their sum is not, because it has degree 0.

C. All polynomials of degree at most 4, with positive coefficients: what this means is that C is not a subspace for the reason that the positive coefficients make zero vector impossible. The restriction there also makes C not closed under multiplication by the scalar −1.

So the answer is only A :D

3 0
4 years ago
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