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3 years ago

9

Which choice is equivalent to the fraction below? Hint: Rationalize the

1 answer:

olga nikolaevna [1]3 years ago

8 0

Answer:

Option D. 4√2

Step-by-step explanation:

8/√2

The above expression can be simplified as follow:

8/√2

Rationalise the denominator i.e multiply the numerator and the demoninator by √2. This is illustrated below:

8/√2 × (√2/√2)

8 × √2 / √2 × √2

8√2 / 2

4√2

Thus, option D gives the correct answer to the question.

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Please help Explanation will be appreciated thanks,

Genrish500 [490]

Answer: A; 6.3%

Step-by-step explanation:

Problem 1

For the first problem, we first want to find y so that we can plug it into the expression.

We can use elimination method for the system of equations to solve.

3x+3y=21

3x-y=5

We subtract both equations to eliminate x.

4y=16 [divide both sides by 4]

y=4

Now that we know y, we can plug it into the expression.

$\frac{4}{2} -3$ [divide]

$2-3$ [subtract]

$-1$

We know that the answer is A.

--------------------------------------------------------------------------------------------------------

Problem 2

For the second problem, we need to know how to calculate percent error. The formula for precent error is $\frac{|measured-exact|}{exact} *100%$ . We know that the exact value is 80 because the buyer was supposed to given 80. 75 is the measured value because that was what the buyer was given.

$\frac{|75-80|}{80} *100%$ [subtract]

$\frac{|-5|}{80} *100%$ [solve absolue value]

$\frac{5}{80} *100%$ [divide]

$0.0625*100%$ [multiply]

$6.25$

Since the problem said to round to one decimal place, we know that the answer is 6.3%.

4 0

3 years ago

A small tree was planted at a height of 6 feet. The tree has been planted for 16 months, and is now 49.2 feet tall. Which equati

Jet001 [13]

Answer:

YOU MUST HAVE ONC WONDERED WHAT IS CHICKEN PO0. WELL IM HERE TO TELL YOU. PLEASE STOP EATING IT. IT MUGHT BE BAD FOR YOU.

ALS OTHE ANSWEER IS A>6x+16=49>2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Damian owns a small business selling bagels. He knows that in the last week 40 customers paid cash, 66 customers used a debit ca

PSYCHO15rus [73]

Answer:

Cash

Step-by-step explanation:

You got that money just have damian ask fo that cash$$$$$$

7 0

3 years ago

Read 2 more answers

1 (-2,2) Write the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the poi

lozanna [386]

Answer:

y = -5x - 8

Step-by-step explanation:

Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.

$\frac{y2 - y1 }{x2 - x1}$

Now plug in your points

$\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}$

Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.

Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept

2 = -5(-2) + b (b represents the y-intercept)

2 = 10 + b (subtract 10 from both sides)

-8 = b

The perpendicular line looks like this y = -5x - 8

Hope this helps ya! Keep smiling!

7 0

3 years ago

Find the perimeter of a circle whose diameter is 7 cm

ivanzaharov [21]

Find the perimeter of the circle is the same as finding the circumference of the circle.

Circumference Formula: C = 2πr

Divide the diameter by 2 to find the radius.

7 / 2 = 3.5

Solve using the given values.

C = 2(3.14)(3.5)

C = 2(10.99)

C = 21.98

Therefore, the circumference (perimeter) of the circle is 21.98cm²

Best of Luck!

8 0

3 years ago