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2 years ago

3(2x+4)=2(9+2x)

Mathematics

1 answer:

o-na [289]2 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

3(2x+4)=2(9+2x)

6x+12=18+4x

6x-4x=18-12

2x=6

x=3

pd: i solve this as an ecuation

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5.b) If z^(1/2)=x^(1/2)+y^(1/2) , show that (x+y-z)^2=4xy

Rudik [331]

Answer:

Step-by-step explanation:

(x+y-z)²= 4xy
(x+y-z)²- 4xy = 0
(x+y-z)²-(2√x√y)² = 0
(x+y-z-2√x√y)(x+y-z+2√x√y) =0
[(√x-√y)²-z]*[(√x+√y)²-z]=0
(√x-√y)²-z = 0 or (√x+√y)²-z = 0

We have : z^(1/2)= x^(1/2)+y^(1/2) ⇒ √z = √x + √y ⇒ z = (√x + √y)²

so (√x+√y)²-z = 0

so (x+y-z)²= 4xy

3 0

3 years ago

Could someone explain this.Brainliest

True [87]

Simplify 1/4x to x/4

-x/4 - 14y - 1/8x + 2y + 18

Simplify 1/8x to x/8

-x/4 - 14y - x/8 + 2y + 18

Collect like terms

(-x/4 - x/8) + (-14y + 2y) + 18

Simplify

-3/8x - 12y + 18

4 0

3 years ago

Read 2 more answers

Question 4 of 10

GREYUIT [131]

Answer:

Can it be written properly?

3 0

2 years ago

The probability of winning on a single toss of the dice is p. A starts, and if he fails, he passes the dice to B, who then attem

alekssr [168]

Answer:

The probability of A winning is $\frac{1}{2-p}$ and the probability of B winning is $\frac{1-p}{2-p}$ .

Step-by-step explanation:

The probability of winning is p.

The game stops when either A or B wins.

The sample space of A winning is as follows:

{S, FFS, FFFFS, FFFFFFS, ...}

The sample space of B winning is as follows:

{FS, FFFS, FFFFFS, FFFFFFFS, ...}

Compute the probability of A winning as follows:

P (A winning) = P (S) + P (FFS) + P (FFFFS) + ...

$=p+(1-p)(1-p)p+(1-p)(1-p)(1-p)(1-p)p+...\\=p\sum\limits^{\infty}_{i=0} {(1-p)^{2i}}\\=p\times \frac{1}{1-(1-p)^{2}}\\=\frac{p}{1-(1-p)^{2}}\\=\frac{p}{1-1-p^{2}+2p}\\=\frac{1}{2-p}$

Compute the probability of B winning as follows:

P (B winning) = P (FS) + P (FFFS) + P (FFFFFS) + ...

$=(1-p)p+(1-p)(1-p)(1-p)p+(1-p)(1-p)(1-p)(1-p)(1-p)p+...\\=(1-p)p\sum\limits^{\infty}_{i=0} {(1-p)^{2i}}\\=(1-p)p\times \frac{1}{1-(1-p)^{2}}\\=\frac{(1-p)p}{1-(1-p)^{2}}\\=\frac{(1-p)p}{1-1-p^{2}+2p}\\=\frac{1-p}{2-p}$

Thus, the probability of A winning is $\frac{1}{2-p}$ and the probability of B winning is $\frac{1-p}{2-p}$ .

3 0

3 years ago

Need help ASAP ?!!!!

natulia [17]

So remember that the area of a circle is A = π * r^2, with r = radius. In this case, the radius is 1.5, and with that info our equation is A = π * 1.5^2 .

For this, all you need to do is solve the exponents, and your answer is A = 2.25π yds^2

8 0

3 years ago