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3 years ago

Solve the inequality 4y + 3 > 24 + 14.

1 answer:

7 0

Hi there!

Solving th' Inequality :-

4y + 3 > 24 + 14

=> 4y + 3 > 38

=> 4y > 38 - 3

=> 4y > 35

=> y > $\dfrac {35}{4}$

=> y > 8.75

Therefore, all real number y which are greater than 8.75 are the solutions of th' given Inequality.

Hence,
Solution of the following Inequality is : ( 8.75, ∞ )

~ Hope it helps!

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Which pair shows equivalent expressions?

Dmitry_Shevchenko [17]

Which pair shows equivalent expressions?

A.2(2/5x + 2)=2 2/5x + 1

B.2(2/5x + 2)=4/5x + 4

C.2(2/5x + 4)=4/5x + 2

D.2(2/5x + 4)=2 2/5x + 8

Solution:

$2(\frac{2}{5}x + 2)$

Let us distribute 2 inside the parenthesis.

That is, we use distributive property:

a(b+c)=ab+ac

$2(\frac{2}{5}x + 2) =\frac{2*2}{5}x+2*2$

So, $2(\frac{2}{5}x + 2) =\frac{4}{5}x+4$

Answer:Option (b)

$2(\frac{2}{5}x+4)$

Applying distributive property, a(b+c)=ab+ac

$2(\frac{2}{5}x+4) =2*\frac{2}{5} x+2*4$

$2(\frac{2}{5}x+4) =\frac{2*2}{5} x+2*4$

$2(\frac{2}{5}x+4) =\frac{4}{5} x+8$

So, Option (B) is correct.

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A painter is placing a ladder to reach the third story window, which is 12 feet above the ground and makes an angle of 80 degree

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We know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
adjacent side angle ∅=opposite side angle/tan ∅

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see the attached figure to better understand the problem
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adjacent side angle ∅=? (AC)
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