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lys-0071 [83]
2 years ago
15

Distribute and simplify the radicals below.

Mathematics
1 answer:
erastovalidia [21]2 years ago
8 0

The simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

<h3>How to simplify the radical?</h3>

The expression is given as:

(√12+6)(-√8-√2)

Factor out -1

(√12+6)(-√8-√2) = -(√12+6)(√8+√2)

Expand the expression

(√12+6)(-√8-√2) = -(√96 + 6√8 + √24 + 6√2)

Evaluate the radicals

(√12+6)(-√8-√2) = -(4√6 + 12√2 + 2√6 + 6√2)

Evaluate the like terms

(√12+6)(-√8-√2) = -(6√6 + 18√2)

Open the bracket

(√12+6)(-√8-√2) = -6√6 - 18√2

Hence, the simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

Read more about radicals at:

brainly.com/question/1980062

#SPJ1

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Step-by-step explanation:

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1/3y+11=1/2y-3<br><br> What is y???
olga55 [171]

Answer:

y=84

Step-by-step explanation:

\left(\frac{1}{3}\right)y+11=\left(\frac{1}{2}\right)y-3

Use distributive property.

\frac{1}{3}y+11=\frac{1}{2}y-3

\frac{1}{3}y+11-11=\frac{1}{2}y-3-11

\frac{1}{3}y=\frac{1}{2}y-14

\frac{1}{3}y-\frac{1}{2}y=\frac{1}{2}y-14-\frac{1}{2}y

-\frac{1}{6}y=-14

\left(-\frac{1}{6}y\right)\left(-6\right)=\left(-14\right)\left(-6\right)

y=84

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Step-by-step explanation:

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The measures of the angles of triangle ABC are 6x -7; 3x +10; and 10x +25 respectively.Find the measure of each angle of triangl
katrin [286]

Answer:

41, 34, 105

Step-by-step explanation:

Given that :

Measure of angles :

6x -7; 3x +10; and 10x +25

Recall; sum of angles in a triangle is 180

(6x - 7) + (3x + 10) + (10x + 25) = 180

6x - 7 + 3x + 10 + 10x + 25 = 180

6x + 3x + 10x - 7 + 10 + 25 = 180

19x + 28 = 180

19x = 180 - 28

19x = 152

x = 8

Hence,

6x - 7 = 6(8) - 7 = 41

3x + 10 = 3(8) + 10 = 34

10x + 25 = 10(8) + 25 = 105

3 0
3 years ago
Adrian is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scal
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Answer:

takes him 8.4 hrs

Step-by-step explanation:

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so distance is 252 miles

speed is 30mph so 252/30=8.4h

the answer might need the 0.4 in hrs too

4 0
2 years ago
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