MATHEMATICS MIDDLE SCHOOL

Just rationalize and simplify

Answers

Answer 1

Answer:

$\mathsf{Given :\;\;(√(a + 1) - 2)/(√(a + 1) + 2)}$

$\mathsf{Multiplying\;Numerator\;and\;Denominator\;with\;√(a + 1) - 2,\;We\;get :}$

$\mathsf{\implies ((√(a + 1) - 2)(√(a + 1) - 2))/((√(a + 1) + 2)(√(a + 1) - 2))}}$

$\mathsf{\implies ((√(a + 1) - 2)^2)/((√(a + 1))^2 - (2)^2)}}$

$\mathsf{\implies ((√(a + 1))^2 + (2)^2 - 2(√(a + 1))(2))/(a + 1 - 4)}}$

$\mathsf{\implies (a + 1 + 4 - 4√(a + 1))/(a + 1 - 4)}}$

$\mathsf{\implies (a + 5 - 4√(a + 1))/(a - 3)}}$

Answer 2

Answer:

Answer:

(a+5)-4√(a+1) /(a-3)

Step-by-step explanation:

√(a+1) - 2 / √(a+1) + 2

={√(a+1) - 2 }{√{(a+1) - 2 } / {√(a+1) + 2} {√(a+1) - 2 }

={√(a+1) - 2 }² / {√(a+1)}² - 2²

=[ {√(a+1)}² -4√(a+1) +4 ] / a+1-4

=[a+1-4√(a+1)+4] / (a-3)

=(a+5)-4√(a+1) /(a-3)

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The vitamin C tablets in a bottle have amass of 250 g. Each tablet has a mass of 500 mg. How many tablets are in the bottle. show your work or explain

Answers

1 milligram = 1/1000 gram

Therefore:

500 milligrams = 500/1000 gram = 1/2 gram

500 half grams fit into 250g, as 500 * 1/2 gram = 250 grams.

Therefore, there are 500 vitamin C tablets in the bottle.

Which is the translation of the expression below?

Answers

In English, the translation of those symbols is ...

Zero multiplied or divided by anything is zero.

F (x) = -4x²+2x+4 help me find the answer please

Answers

Answer:

Here's The Answer: 4

Step-by-step explanation:

-4x²+2x+4 = 4

I'm Sorry If I Get This Wrong.

Please help me with ALL of them?!

Answers

Answer:

D , H, A, I

Step-by-step explanation:

These are approximates, don't take this to heart.

Answer is D. H. A. I.

Amanda is making pillows for her sofa, The fabric that she likes costs $45 per yard. Amanda waits untilshe has a 40% off coupon! How much [including tax] will Amanda pay for 58 inches of material? The tax
rate is 5.1%.

Answers

Answer:

15$

Step-by-step explanation:

1/3 as long as 6 meters

Answers

The 1/3 portion of 6 meters can be calculated by the concept of Division and it is come out as, 2 meter

What is division?

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

Length = 6 meters

one third portion of 6 meter = ?

It is known that,

Division means, dividing the number in equal parts

Like- a/b is written, it means

we have to divide number a in b equal parts,

Similarly,

It can be done in calculating one third portion of the length 6 meter,

So,

One third portion = 6/3