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Goshia [24]
3 years ago
12

A quadrilateral has 4 right angles, 2 pairs of sides of equal length,2 pairs of opposite sides that are parallel. The pairs of o

pposite sides are not the same length. What quadrilateral could it be?
Mathematics
1 answer:
tekilochka [14]3 years ago
6 0
That is describing a rectangle! The only quadrilaterals with 4 right angles are squares and rectangles. Squares have equal sides but rectangles have one pair of parallel sides that is longer than the other. Hope this helps! If you get more than one answer and see it fit to do so, please mark me Brainliest Answer! Thank you!
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What is the true solution to the equation below?
jarptica [38.1K]

Answer:

Step-by-step explanation:

some rules of logarithmic function

ln(a) - ln(b)=ln(\frac{a}{b})

e^{ln(a)}=a

ln(a)^{n}=nln(a) vice-versa nln(a)=ln(a)^{n}

If ㏑(a) = ㏑(b), then a = b

∴ 2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)

Use the 2nd rule to simplify it

e^{ln(2x)}=2x\\e^{ln(10x)}=10x\\

2㏑(2x) - ㏑(10x) = ㏑(30)

Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})\\\\ln(\frac{4x^{2}}{10x})=ln(30)\\\\ \frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x\\\\ ln(\frac{2}{5}x)=ln(30)

Use the 4th rule

\frac{2}{5} x = 30

Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

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Step-by-step explanation:

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1. What is the binomial expansion of (x + 3)5? ​
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Answer:

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Step-by-step explanation:

To expand the binomial, you need to multiply each term inside the parentheses by 5.

(x + 3)5

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= 5x + 15

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