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Len [333]
3 years ago
9

Write the equation for a line that intersects points (1,3) and (2,5)

Mathematics
2 answers:
Fiesta28 [93]3 years ago
7 0
Y=2x+1 is the correct answer
Georgia [21]3 years ago
3 0
Y=2x+1 is your answer
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Mr. endres wants to put fencing around his rectangular shaped backyard. the width of the backyard is 42 feet and the length is t
Anna71 [15]

The the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.

<h3>What is the Perimeter of a Rectangle?</h3>

Perimeter = 2(length + width).

The number of feet needed for the fence around the rectangular garden = perimeter of teh rectangular garden.

Given the following:

  • Width = 42 ft.
  • Length = 2(42) = 84 ft.

Plug the values into Perimeter = 2(length + width):

Perimeter of the rectangular garden = 2(42 + 84)

Perimeter of the rectangular garden = 252 ft

Therefore, the the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.

Learn more about perimeter of rectangle on:

brainly.com/question/24571594

7 0
2 years ago
Please help with this question
Alinara [238K]
The smaller carton would hold 2 3/4
7 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx....%7D%20%7D%20%7D%20%7D%20%20%3D%20%
andrey2020 [161]

First observe that if a+b>0,

(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}

Let a=0 and b=x. It follows that

a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}

Now let b=1, so a^2+a=4x. Solving for a,

a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2

which means

a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}

Now solve for x.

x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2

(note that we assume 2x-1\ge0)

4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}

(we omit x=0 since 2\cdot0-1=-1\ge0 is not true)

3 0
1 year ago
A local hamburger shop sold a combined total of 754 hamburgers and cheeseburgers on Saturday. There was 54 more cheeseburgers so
DochEvi [55]
Answer: 323 hamburgers

754/2=377
377 ham 377 cheese
54 more cheese than ham
377 ham - 54 = 323 hamburgers total sold on Saturday
7 0
2 years ago
2 thirds of a number plus 5 is greater than 12
Amanda [17]

Answer:

2/3 of n +5>12

Step-by-step explanation:

6 0
2 years ago
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