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Alisiya [41]
3 years ago
13

Find the slope using the formula. (4, 19) and (2, 11)

Mathematics
1 answer:
Degger [83]3 years ago
7 0

Answer:

m=4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

(4, 19)

(2, 11)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{11-19}{2-4}
  2. Subtract:                       m=\frac{-8}{-2}
  3. Divide:                          m=4
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You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed
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Answer:

625 ft^2

Step-by-step explanation:

Given

P = 100 --- perimeter

Required

The largest area

The perimeter is calculated as:

P = 2 * ( L + W)

So, we have:

2 * ( L + W) = 100

Divide both sides by 2

L + W  = 50

Make  L the subject

L = 50 - W

The area is calculated as:

A= L * W

Substitute L = 50 - W

A= (50 - W) * W

Open bracket

A = 50W - W^2

Differentiate with respect to W

A' = 50 -2W

Set to 0; to get the maximum value of W

50 - 2W = 0

Collect like terms

-2W = -50

Divide by -2

W = 25

So, the maximum area is:

A = 50W - W^2

A = 50 * 25 - 25^2

A = 1250 - 625

A = 625

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3 years ago
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Amy and her three friends love to eat pizza for lunch. Amy's mother bakes
HACTEHA [7]

Amy has a fraction of 2/3

Jill has a fraction of 1/2

Lila has a fraction of 3/6

Ella has a fraction of 3/4

_______________________

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Expand the given power using the Binomial Theorem. (10k – m)5
agasfer [191]

Answer:

(10k - m)^{5}=100000k-50000k^{4}m+10000k^{3}m^{2}-1000k^{2}m^{3}+50km^{4}-m^{5}

Step-by-step explanation:

* Lets explain how to solve the problem

- The rule of expand the binomial is:

(a+b)^{n}=(a)^{n}+nC1(a)^{n-1}(b)+nC2(a)^{n-2}(b)^{2}+nC3(a)^{n-3}(b)^{3}+...............+(b)^{5}

∵ The binomial is (10k-m)^{5}

∴ a = 10k , b = -m and n = 5

∴ (10k-m)^{5}=(10k)^{5}+5C1(10k)^{4}(-m)+5C2(10k)^{3}(-m)^{2}+5C3(10k)^{2}(-m)^{3}+5C4(10k)^{1} (-m)^{4}+5C5(10k)^{0}(-m)^{5}

∵ 5C1 = 5

∵ 5C2 = 10

∵ 5C3 = 10

∵ 5C4 = 5

∵ 5C5 = 1

∴ (10k-m)^{5}=100000k^{5}+(5)(10000)k^{4}(-m)+(10)(1000)k^{3}(m^{2})+(10)(100)k^{2}(-m^{3})+5(10k)^{1} (m^{4})+(10k)^{0}(-m^{5})

∴ (10k-m)^{5}=100000k^{5}-50000)k^{4}m+10000k^{3}m^{2}-1000k^{2}m^{3}+50km^{4}-m^{5}

5 0
3 years ago
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