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Inessa [10]
3 years ago
12

Combine the radicals 5sqrt27-17sqrt3

Mathematics
2 answers:
Bess [88]3 years ago
6 0

Answer:

-2 sqrt3.

Step-by-step explanation:

sqrt27 = sqrt9 * sqrt3

= 3 sqrt3   So:

5sqrt27 - 17sqrt3

= 5*3 sqrt3 - 17 sqrt 3

= 15 sqrt 3 - 17 sqrt 3

= -2 sqrt3.

kow [346]3 years ago
4 0

For this case we must simplify the following expression:

5 \sqrt {27} -17 \sqrt {3}

We have to:

27 = 3 * 3 * 3 = 3 ^ 2 * 3

Substituting in the expression we have:

5 \sqrt {3 ^ 2 * 3} -17 \sqrt {3}

For properties of powers and roots we have:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

So:

5 * 3 \sqrt {3} -17 \sqrt {3} =\\15 \sqrt {3} -17 \sqrt {3} =

We subtract taking into account that different signs are subtracted and the sign of the major is placed:

-2 \sqrt {3}

Answer:

-2 \sqrt {3}

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A 2-cup serving of chicken noodle soup has 1.5 ounces of noodles.Use the description of the proportional relationship to complet
gulaghasi [49]

Using the proportional relationship between X and Y ; the completed table is :

  • X ____ Y
  • 2 ____ 1.5
  • 3 ____ 2.25
  • 3 ____ 4

Let :

x = Serving of chicken

y = ounces of noodles

The proportional relationship :

x = ky ; k = constant of proportionality

x = 2 ; y = 1.5

2 = 1.5k

k = (2 ÷ 1.5)

k = 1.333

The expression for the relationship is :

x = 1.333y

When x = 3 ; y =?

3 = 1.333y

y = 3/1.3333

y = 2.25

When y = 3

x = 1.333(3)

x = 4

Therefore, the complete table is :

X ____ Y

2 ____ 1.5

3 ____ 2.25

3 ____ 4

LEARN MORE :brainly.com/question/14254277

5 0
3 years ago
Illmakeubrainlessforthecorrectanswer
kipiarov [429]

Answer:

<h2><em><u>THE CORRECT ANSWER IS B- 73 FEET</u></em></h2>

<em>The given condition in question will form a right angle triangle </em>

<em>and the length of sides of triangle are given 55ft, 48ft and missing one.</em>

<em>Now using pythagoras theorem</em><em>,55²+48²= x²</em>

<em>x² = 3025 + 2304</em>

<em>x² = 5329</em>

<em>Taking square root of 5329 will give 73 ft!</em>

3 0
3 years ago
Find the equation of the line with x-intercept 4 and y-intercept -1 in slope-intercept<br> form.
Nastasia [14]

Answer:

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-coordinate of the y-intercept, so we can already conclude that b=-1.

This results in y = mx - 1

We also have the x-intercept, and we know that the y-coordinate of an x-intercept is always 0. This means that we have the point (4,0). Substitute this into the formula to generate m:

0 = 4m - 1

4m = 1

m = 1/4

thus y = \frac{1}{4}x - 1

7 0
2 years ago
Tareq pays $22.10 for 2.6 pounds of salmon. what is the price per pound of the salmon?
Juliette [100K]
What i would do since $22.10 for 2.6 find out how much 1 pound of salmon is

so divide $22.10 by 2.6

which would equal $8.50

$8.50 per pound of salmon

hope this helped :>

7 0
3 years ago
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An airplane flies with a constant speed of 620 miles per hour. How long will it take to
LekaFEV [45]

Answer:

30 minutes

Step-by-step explanation:

Alright lets start by laying out what the problem gives us :

A plane flies 620 mph.

It is asking how long it will take to travel 310 miles.

We need to give our answer in minutes or hours.

So lets take mph and look at the full meaning "Miles per hour"

An hour has 60 minutes in it.

So really it is saying miles per 60 minutes as well as miles per hour

So you could say the plane is traveling 620 miles every 60 minutes.

So now lets look at the number 310.

Just looking at it I can tell you that 310 looks very close to half of 620, in fact it is exactly half!

So lets divide the 620 mph by the 310 miles it is asking and we get 2! Proving that 310 is half of 620.

Alright now lets divide both the number of miles and number of minutes :

620 miles per 60 minutes

divided by 2 both miles and minutes

310 miles per 30 minutes

So this is your answer. After this you get that it would take 30 minutes to travel 310 miles in a plane going 620 miles per hour!

I hope this helps and I could help you understand it. :)

If you have any questions feel free to comment or dm me.

7 0
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