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3 years ago

Is 2 squared irrational

Mathematics

2 answers:

Andrej [43]3 years ago

5 0

No.

2 squared = 2 x 2

2 x 2 = 4

4 is rational.

White raven [17]3 years ago

4 0

Yes. 2 squared is irrational number because no two of the same numbers multiplied equals 2. Not including decimals either.

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Why is it that -log(x+8)=4-log(x-7) has no solution? (they are log base 2)

Lerok [7]

$-log(x+8)=4-log(x-7)$

$-\log _{10}\left(x+8\right)+\log _{10}\left(x+8\right)=4-\log _{10}\left(x-7\right)+\log _{10}\left(x+8\right)$

$0=4-\log _{10}\left(x-7\right)+\log _{10}\left(x+8\right)$

$0+\log _{10}\left(x-7\right)=4-\log _{10}\left(x-7\right)+\log _{10}\left(x+8\right)+\log _{10}\left(x-7\right)$

$\log _{10}\left(x-7\right)=\log _{10}\left(x+8\right)+4$

$\log _{10}\left(x-7\right)=\log _{10}\left(x+8\right)+\log _{10}\left(10000\right)$

$x-7=\left(x+8\right)\cdot \:10000$

$\mathrm{Solve\:}\:x-7=\left(x+8\right)10000:\quad x=-\dfrac{26669}{3333}$

$\mathrm{Verifying\:Solutions}:\quad x=-\dfrac{26669}{3333}\space\mathrm{False}$

$\mathrm{No\:Solution\:for\:x\in \mathbb{R}}$

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2 years ago

Read 2 more answers

What is 6 divided by 3647? I need to show work. Much appreciated.

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3 years ago

What does the y mean in y=mx+c

zubka84 [21]

y=mx+c
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2 years ago

in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE

maksim [4K]

The given triangles ΔDOA and ΔABC are right triangles that have a

common vertex at point A.

ΔDOA is similar to ΔABC, and ∠AEC is equal to ∠ABC, therefore, ∠AEC = ∠ODA

Reasons:

The given parameters are;

The diameter of the circle with center O = AB

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Required:

Prove that ∠AEC = ∠ODA

A two column proof is presented as follows;

Statement ${}$ Reason

1. AB is the diameter of circle ${}$ 1. Given

2. DO is perpendicular to AB ${}$ 2. Given

3. ∠DOA = 90° ${}$ 3. Definition of DO ⊥ AB

4. ∠BCA = 90° ${}$ 4. Thales theorem

5. ∠BCA ≅ ∠BCA ${}$ 5. Reflexive property

6. ΔDOA ~ ΔABC ${}$ 6. AA similarity postulate

7. ∠ABC ≅ ∠ODA ${}$ 7. CASTC

8. ∠ABC = ∠ODA ${}$ 8. Definition of congruency

9. ∠AEC ≅ ∠ABC ${}$ 9. Angles in the same segment

10. ∠AEC = ∠ABC   ${}$ 10. Definition of congruency

11. ∠AEC = ∠ODA ${}$ 11. Transitive property of equality

In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity

postulate, therefore, the three angles of ΔDOA are congruent to the three

angles of ΔABC.

Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles

are Congruent, CASTC.

Learn more about circle theorem here:

brainly.com/question/16879446

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AlexFokin [52]

Answer:

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Step-by-step explanation:

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