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Evgen [1.6K]
3 years ago
7

Simplify the expression 5√2 + √18

Mathematics
2 answers:
ivanzaharov [21]3 years ago
6 0

Answer:

\large\boxed{5\sqrt2+\sqrt{18}=8\sqrt2}

Step-by-step explanation:

5\sqrt2+\sqrt{18}=5\sqrt2+\sqrt{9\cdot2}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=5\sqrt2+\sqrt9\cdot\sqrt2=5\sqrt2+3\sqrt2=(5+3)\sqrt2=8\sqrt2

Naddik [55]3 years ago
4 0

Answer:

8√2

Step-by-step explanation:

Simplify √18 which is 3√2

5√2+3√2=8√2

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6
Drupady [299]

Answer:

  • (a) 1/2
  • (b) 1/3

Step-by-step explanation:

(a) 3 of the 6 numbers on the die are even, so the probability that one of them will show is 3/6 = 1/2.

__

(b) 2 of the 6 numbers on the die are less than 3, so the probability that one of them will show is 2/6 = 1/3.

5 0
3 years ago
A number cube is rolled. What is the probability that the result is a number greater than 4?​
JulijaS [17]

Answer:

1/3

Step-by-step explanation:

Number cube has 6 sides so a number greater than 4 is 5 and 6. Which is 2 times so 2/6 which can simplify to 1/3

5 0
3 years ago
Somebody help me please i will mark you the brainliest
Reptile [31]
I’m 100% sure it’s the 3rd one :)
5 0
3 years ago
Read 2 more answers
Point C is twice as close to point B as it is to point A. If point A is at -30 and point B is at 30, what are two possible value
arsen [322]

different between A and B

=30-(-30)

=60

position of C from A or B

=(60÷3)×2

=40

possible value of c

=-30+40

=10

possible value of c

=30-40

=-10

8 0
3 years ago
Read 2 more answers
If the squared difference of the zeroes of the quadratic polynomial x2+kx+30 is equal to 169 find the value of k and the zeroes
anyanavicka [17]

ANSWER

x  =  2 \: \: or \:  \:  x  =  15

Or

x  =   - 2 \: \: or \:  \:  x  =   -  15

EXPLANATION

The given polynomial is

f(x) = {x}^{2}  + kx + 30

where a=1,b=k, c=30

Let the zeroes of this polynomial be m and n.

Then the sum of roots is

m + n =  -  \frac{b}{a}  =  -k

and the product of roots is

mn =  \frac{c}{a}  = 30

The square difference of the zeroes is given by the expression.

( {m - n})^{2} =  {(m + n)}^{2} - 4mn

From the question, this difference is 169.

This implies that:

( { - k)}^{2}  - 4(30) = 169

{  k}^{2}  -120= 169

k^{2} = 289

k=  \pm \sqrt{289}

k=  \pm17

We substitute the values of k into the equation and solve for x.

f(x) = {x}^{2}   \pm17x + 30

f(x) = (x  \pm2)(x  \pm 15)

The zeroes are given by;

(x  \pm2)(x  \pm 15) = 0

x  =  \pm2 \: \: or \:  \:  x  =  \pm 15

5 0
3 years ago
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