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Rama09 [41]
3 years ago
9

Solve x2 + 12 = -11 by completing the square.which is the solution set of the equation

Mathematics
1 answer:
Ivan3 years ago
6 0

Answer:

the answer to the question is -1

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Solve the equation. \dfrac32 + b = \dfrac74 2 3 ​ +b= 4 7 ​ start fraction, 3, divided by, 2, end fraction, plus, b, equals, sta
Xelga [282]

Given:

The equation is

\dfrac{3}{2}+b=\dfrac{7}{4}

To find:

The value of b.

Solution:

We have,

\dfrac{3}{2}+b=\dfrac{7}{4}

Subtracting both sides by \dfrac{3}{2}, we get

b=\dfrac{7}{4}-\dfrac{3}{2}

b=\dfrac{7-2(3)}{4}

b=\dfrac{7-6}{4}

b=\dfrac{1}{4}

Therefore, the value of b is \dfrac{1}{4}.

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3 years ago
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Half note times a whole note plus 2 quarter notes minus 3 half notes
Allisa [31]
B is your answer bc 2 times 4 is 8 plus 2 minus 6 is
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3 years ago
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How to find the smallest integer k such that 60k is a perfect square
suter [353]

9514 1404 393

Answer:

  k = 15

Step-by-step explanation:

Look for the missing factors that make all of the factors of 60k be squares.

  60 = 2² × 3 × 5

The factors 3 and 5 each have an odd exponent (1), so those two factors must be part of k.

  60k = 2² × 3 × 5 × k

is a perfect square when ...

  3 × 5 = k = 15

For k = 15, 60k = 900 = 30²

6 0
3 years ago
The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of itsâ height, and
storchak [24]

The question is incomplete.Here is the complete question.

The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?

Answer: It must be 392 inches or approximately 33 feet.

Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of <u>proportionality</u>, i.e., if divided, the result is a constant.

For the first load:

width = 6in

height = 4in

length = 13ft or 156in

weight = 800lbs

Then, constant will be:

\frac{6.4^{2}}{156} k = 800

k=\frac{800.156}{96}

k = 1300

For the similar beam:

\frac{8.7^{2}}{L}1300=1300

L = 49.8

L = 392in or 32.8ft

A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.

6 0
3 years ago
The temperature of a piece of metal was 32°C. It was then lowered into a glass of
Paul [167]

Answer:

12.5%

Step-by-step explanation:

Given that,

Initial temperature of a piece of metal = 32°C

Final temperature of the piece of metal = 36°С

We need to find the percentage increase in the temperature of the piece of metal.​ The percentage increase in any value is given by the relation as follows :

\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{36-32}{32}\times 100\\\\=12.5\%

So, the required percentage increase in the temperature of the piece of metal is equal to 12.5%.

3 0
3 years ago
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