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Alborosie
3 years ago
8

The diagram shows a circle with center C, a diameter RS, and an inscribed triangle RST.

Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0

Answer:

x = 26

Step-by-step explanation:

m<RTS = 4x - 14 (given)

Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)

Therefore,

4x - 14 = 90

4x - 14 + 14 = 90 + 14 (addition property of equality)

4x = 104

4x/4 = 104/4

x = 26

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Which products result in a difference of squares? Check all that apply.
Amanda [17]

Answer:

2nd - (w - 5)(w + 5)

4th - (-4v - 9)(-4v + 9)

Step-by-step explanation:

1. The first option shows an expression multiplied by its opposite(x -1), so therefore, it does not show the difference of squares

2. The second option does show the difference of squares because it is in the form (a + b)(a - b)

3. The third option is just a square because the same expression is multiplied by itself.

4. The fourth option is the difference of squares because it is in the form (a + b)(a - b). a equals -4v and b equals 9 in this case.

5. The fifth option is not the difference of squares. No term in common in both expressions

6. The sixth option is just a square because the same expression is multiplied by itself.

In all, there are two options that are the difference of squares, the 2nd and 4th.

5 0
3 years ago
HELP ASAP!!<br>-4y + 7 + 9y - 3​
gulaghasi [49]

Answer:

5y+4

Step-by-step explanation:

Combine Like Terms:

=−4y+7+9y+−3

=(−4y+9y)+(7+−3)

=5y+4

5 0
3 years ago
Read 2 more answers
Use a known maclaurin series to obtain the maclaurin series for the given function. f(x = 8x2 tan?1(7x3
11Alexandr11 [23.1K]
Going out on a limb here and guessing that the function is

f(x)=8x^2\tan^{-1}(7x^3)

Please correct me if this isn't the case.

Recall that

\tan^{-1}x=\displaystyle\sum_{n\ge0}\frac{(-1)^nx^{2n+1}}{2n+1}

which converges for |x|.

It follows that

8x^2\tan^{-1}(7x^3)=8x^2\displaystyle\sum_{n\ge0}\frac{(-1)^n(7x^3)^{2n+1}}{2n+1}
=\displaystyle\sum_{n\ge0}\frac{56(-49)^nx^{6n+3}}{2n+1}
6 0
3 years ago
Circumference of a 4" circle?
lesya692 [45]

Answer:

4π ≈ 12.5663706144

Step-by-step explanation:

The circumference of a circle is 2πr, or 2*pi*radius

Suppose the circle has a diameter of 4 inches. A diameter is 2x the radius, of which we are looking for, therefore:

4÷2=<u>2 inches</u> (radius length)

Now that we have the radius, let us <u>substitute</u> to find the circumference:

2πr=

2π2=

4π≈

<u>12.5663706144</u>

<u></u>

<em>I hope this helped! Let me know if you have any further questions :)</em>

7 0
2 years ago
Read 2 more answers
3. Find the length of the missing side given the information below.
Lubov Fominskaja [6]
<h3>Answer:  12.5  (choice C)</h3>

=================================================

We apply the pythagorean theorem to find this answer.

a = 11 and b = 6 are the given legs

c = unknown hypotenuse

So,

a^2+b^2 = c^2

c = sqrt( a^2+b^2 )

c = sqrt( 11^2 + 6^2 )

c = sqrt( 121 + 36 )

c = sqrt( 157 )

c = 12.52996 approximately

c = 12.5

Side note: once you replace 'a' and b with 11 and 6, you can compute everything with a calculator in one single step more or less. The steps above are shown if you wanted to find the exact value sqrt(157).

7 0
3 years ago
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