2 years ago

Please solve for x and explain

Mathematics

1 answer:

icang [17]2 years ago

8 0

Check the picture below.

$(x+6)^2=x^2+12^2\implies (x+6)(x+6)=x^2+144 \\\\\\ \stackrel{F~O~I~L}{x^2+12x+36}=x^2+144\implies 12x+36=144\implies 12x=108 \\\\\\ x=\cfrac{108}{12}\implies x = 9$

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Answer:

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2 years ago

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Gwar [14]

Answer: 5

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2 years ago

Read 2 more answers

3 - 5y = -37 for math 8th

hram777 [196]

Answer:

y = 8

Step-by-step explanation:

Step 1: Write equation

3 - 5y = -37

Step 2: Subtract 3 on both sides

-5y = -40

Step 3: Divide both sides by -5

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3 years ago

A greenhouse is offering a sale on tulip bulbs because they have inadvertently mixed pink bulbs with red bulbs. If 40% of the b

True [87]

Answer:

The probabilty of having at least one pink bulb if 4 bulbs are purchased is 13%.

Step-by-step explanation:

The proportion of pink bulbs is p=0.4.

If X is the amount of pink bulbs in a group of 4 bulbs, we can model this as a binomial distribution problem.

The probability that at least one of the bulbs is pink is P(X≥1)

$P(X\geq 1)=1-P(X=0)=1-(\binom{4}{0}p^0(1-p)^4)\\\\P(X\geq 1)=(1-p)^4=0.6^4=0.1296$

The probabilty of having at least one pink bulb if 4 bulbs are purchased is 13%.

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3 years ago

Solve the system of equations.

vova2212 [387]

Answer:

8x = 32

x = 4

y = 6

Step-by-step explanation:

2.5y + 3x = 27

5x – 2.5y = 5

_____________

8x = 32 (equation obtained after adding the two equations)

x = 32/8

x = 4

Plug x = 4 in 2.5y + 3x = 27

2.5y + 3*4 = 27

2.5y + 12 = 27

2.5y = 27 - 12

2.y5= 15

y = 15/2.5

y = 6

8 0

3 years ago