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Rashid [163]
3 years ago
14

Simplify the radical expression sqrt 7+3 sqrt 7

Mathematics
2 answers:
GREYUIT [131]3 years ago
8 0
√7+3√7 = 4√7
thus answer is 4√7
Alika [10]3 years ago
6 0
4\sqrt{7}

This is because there is an imaginary 1 in front of the first sqrt. 
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The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of da
zhannawk [14.2K]

Answer:

-2

Step-by-step explanation:

i ddid it on edge

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3 years ago
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Salim built a rectangular prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches. Would the prism Natali
8090 [49]

Answer:

same volume

Step-by-step explanation:

5X4X3=60, 3X4X5=60

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2 years ago
Exercise 10.10.2: Distributing a coin collection. About A man is distributing his coin collection with 35 coins to his five gran
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Given that:

all coins are same;

The same implies that the number of the non-negative integral solution of the equation:

x_1+x_2+x_3+x_4+x_5 = 35

x_1 > 0 ;  \ \ \ x_1 \  \varepsilon  \ Z

Thus, the number of the non-negative integral solution is:

^{(35+3-1)}C_{5-1} = ^{39}C_4

(b)

Here all coins are distinct.

So; the number of distribution appears to be an equal number of ways in arranging 35 different objects as well as 5 - 1 - 4 identical objects

i.e.

= \dfrac{(35+4)!}{4!}

= \dfrac{39!}{4!}

(c)

Here; provided that the coins are the same and each grandchild gets the same.

Then;

x_1+x_2+x_3+x_4+x_5 = 35

x_1 > 0 ;  \ \ \ x_1 \  \varepsilon  \ Z

x_1=x_2=x_3=x_4=x_5

5x_1 = 35\\\\ x_1= \dfrac{35}{5} \\ \\  x_1= 7

Thus, each child will get 7 coins

(d)

Here; we need to divide the 35 coins into 5 groups, this process will be followed by distributing the coin.

The number of ways to group them into 5 groups = \dfrac{35!}{(7!)^55!}

Now, distributing them, we have:

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3 0
2 years ago
4x - 6 = 22<br> Answer ?
Alex777 [14]

4x-6= 22

Move -6 to the other side.

Sign changes from -6 to +6.

4x-6+6= 22+6

4x= 22+6

4x= 28

Divide by 4 for both sides

4x/4= 28/4

x= 7

Answer : x= 7

6 0
3 years ago
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Line A B has a negative slope and goes through points (negative m, p) and (w, z). Line A prime B prime has a positive slope and
romanna [79]

Answer:

(B)A': (p, m) and B': (z, −w)

Step-by-step explanation:

Line AB has a negative slope and goes through points (-m, p) and (w, z).

Line A'B' has a positive slope and intersects with line AB.

Definition: Two lines are perpendicular if the product of their slopes is -1.

Slope of AB

m_1=\dfrac{z-p}{w-(-m)} \\m_1=\dfrac{z-p}{w+m}

From the options, we consider the coordinates whole slope multiplied by the slope of AB gives a result of -1.

In Option B: A': (p, m) and B': (z, −w)

Slope of A'B'

m_2=\dfrac{-w-m}{z-p} \\m_2=\dfrac{-(w+m)}{z-p}

The product of the slopes

m_1m_2=\dfrac{z-p}{w+m}\times \dfrac{-(w+m)}{z-p} =-1

Therefore, the coordinate for points A' and B' which would help prove that lines AB and A'B' are perpendicular is A': (p, m) and B': (z, −w).

You can try to calculate the slope of the others. They would not satisfy this condition.

3 0
3 years ago
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