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love history [14]
3 years ago
8

15 pts!!!! plzzzz Help When U read this!!!!!or else!!!!!Consider the following equation.

Mathematics
1 answer:
Amanda [17]3 years ago
4 0

Solve for x over the real numbers:

x^2 - 10 x - 27 = 0

Hint: | Solve the quadratic equation by completing the square.

Add 27 to both sides:

x^2 - 10 x = 27

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 25 to both sides:

x^2 - 10 x + 25 = 52

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 5)^2 = 52

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 5 = 2 sqrt(13) or x - 5 = -2 sqrt(13)


Hint: | Look at the first equation: Solve for x.

Add 5 to both sides:

x = 5 + 2 sqrt(13) or x - 5 = -2 sqrt(13)

Hint: | Look at the second equation: Solve for x.

Add 5 to both sides:

Answer:

x = 5 + 2√(13) or x = 5 - 2√(13)

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A sequence is defined below.
AysviL [449]
We have,
f (0) = 7
f (1) = 2f (1-1)-3 = 2×7-3 = 11
f (2) = 2f (2-1)-3 = 2×11-3 = 22 - 3 = 19
Hence 19 is the third no. in the sequence
8 0
3 years ago
Compare and contrast the methods you can use to multiply a whole number and a decimal
Troyanec [42]

Answer:

Answer with explanation

When you look at whole numbers , it begin from Zero and has no end , and  decimal ,which is the set of rational numbers and irrational numbers, which came into consideration after whole numbers.

Whole number =0,1,2,3,4,5,6......

Decimal  number = 0.1,0.25,0.325, 0.002000200002000002,..........

→0 × Any Decimal number =0

→ Any other whole number × A decimal number, gives

    Convert that decimal into equivalent fraction,or if irrational number,write it up to three decimal places, and then multiply numerator with Numerator as denominator will remain unchanged to get the required result or multiply the decimal number with the whole number.

For example

→ Whole number × Terminating Decimal

    5 × 0.25

=5 \times \frac{25}{100}\\\\=\frac{125}{100}\\\\=0.25

→Whole number × A non terminating repeating Decimal

2×0.22222222.......

=2 \times \frac{2}{9}\\\\=\frac{4}{9}

= An rational number, that is non terminating repeating decimal.

→→Whole number × An irrational number (A non terminating non repeating Decimal)

5 × √2=5 ×1.414(written to three decimal places)

=7.07(approx)

So, when there is an irrational number , write that decimal up to three decimal places, and then multiply that whole number by that irrational or decimal number to get the result.

3 0
3 years ago
Read 2 more answers
Please help me find the answer
andreev551 [17]

Answer:

the angle is equal to 60 degree

3 0
2 years ago
a square figure with side 4 ft has a semicircle with radius 2ft at the top what is the perimeter of the figure ? what formula sh
andreyandreev [35.5K]

Answer:

~18.28 ft. / 12 + 2π ft. (Read explanation please!)

Step-by-step explanation:

<u>I) Find the square's perimeter:</u>

Obviously, a square's perimeter is its side length x 4. However, there would be a semicircle on top of it. So, to find it we use:

4 x 3 = 16 ft. (Since 1 of the sides is covered by the semicircle)

<u>II) Find the semicircle's perimeter:</u>

Finding the semicircle's perimeter is a bit more complicated, but no worries! We can use this formula:

<em>πr + 2r (pi x radius + radius x 2)</em>

But WAIT: We need to make sure we remove that one side of the square we mentioned earlier. So we would use:

<em>πr (pi x radius)</em>

In terms of π, the perimeter would be:

<em>2π = 2π ft.</em>

Or, if you used a standard approximation of π, let's say 3.14, it would be:

<em>2(3.14) = ~6.28 ft.</em>

<u>III) Add them up:</u>

If we wanted to state the total perimeter using 3.14 as π, we would say the formula is:

2(3.14) + 4(3) = 18.28 ft.

Or in terms of π:

2π + 4(3) = 12 + 2π ft.

6 0
3 years ago
42 students arrived at the school dance after it started. in all 78 students attended. write and solve an equation to find how m
vladimir2022 [97]

Answer:

The answer is 36

Step-by-step explanation:

we know 42 students arrived after the dance started and 78 arrived in total. You have to subtract 42 from 78. how I remember this: part+part=whole whole-part=part

6 0
4 years ago
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