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Natasha2012 [34]
3 years ago
10

Evaluate. 4^3−4÷2⋅5 20 40 54 150

Mathematics
1 answer:
nika2105 [10]3 years ago
3 0

Answer:

150

Step-by-step explanation:

1. 4^3 = 4 x 4 x 4 = 16 x 4 = 64

2. 64 - 4 = 60

3. 60 ÷ 2 = 30

4. 30 ⋅ 5 = 150

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(p-4)^2=4p complete the square if possible
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Answer:

p=6+2 \sqrt{5}, p=6-2 \sqrt{5}

Step-by-step explanation:

Step 1: Given expression is (p-4)^{2}=4 p.

Step 2: To write the equation in the quadratic form, subtract 4p from both sides of the equation.

\Rightarrow(p-4)^{2}-4 p=4 p-4 p

\Rightarrow p^{2}-8 p+16-4 p=0

\Rightarrow p^{2}-12 p+16=0

\Rightarrow p^{2}-12 p=-16

Step 3 :Add\left(\frac{-12}{2}\right)^{2} on both sides of the equation.

\Rightarrow p^{2}-12 p+\left(\frac{-12}{2}\right)^{2}=-16+\left(\frac{-12}{2}\right)^{2}

\Rightarrow p^{2}-12 p+36=-16+36

\Rightarrow(p-6)^{2}=20

Step 4: Taking square root on both sides of the equation.

(p-6)=\pm \sqrt{20}

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Hence, p=6+2 \sqrt{5}, p=6-2 \sqrt{5}.

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4 years ago
What is (-76) × (-2a)​
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Step-by-step explanation:

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X^2=1 has two solutions. If the equation is changed to 4x^2=1 which operation find the solutions of the new equation?
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Answer:

X = -1/2 or 1/2

Step-by-step explanation:

When the square root of  a number is found, this usually results in 2 solutions which may be equal in size but opposite in signs.

As such,

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Going by this

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X = -1/2 or 1/2

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3 years ago
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