Please help desperate due today please help

9514 1404 393

Answer:

  x = 10√3

Step-by-step explanation:

The Pythagorean theorem tells you ...

  FB^2 = BC^2 +CF^2

  FA^2 = FB^2 +BA^2

Substituting for FB^2, we have ...

  FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2

  FA^2 = 3x^2

  FA = x√3 = 30 . . . . take the square root and substitute for FA

  x = 30/√3

  x = 10√3

Answer:

<XWY= 180-23

Step-by-step explanation:

angles on a straight line add up to 180!

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Answer:

The prime factorization of 56 is 2 * 2 * 2 * 7. This can also be written with exponents as 2^3 * 7.

Step-by-step explanation:

9514 1404 393

Answer:

  4)  6x

  5)  2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

  [tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the power rule.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

  lim[h→0](f(x+h)-f(x))/h = 2ax +b

__

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

__

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

Answer: Option B, x ≥ 121

Step-by-step explanation:

We start with the inequality:

√x ≥ 11.

First, we can square each side of the inequality, to get:

(√x)^2 ≥ 11^2

And we know that:

√(x^2) = (√x)^2 = x

Then:

x ≥ 11^2

x ≥ 121

So we only need to have x equal or larger than 121.

The correct option is B.

Answer:

3/10 shade 3 in

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because pi never ends.

Hence, D (π) is a irrational number.

Answer:

2x +3x =7-13=4+8

Step-by-step explanation:

5x= -6= 12

Answer:

[tex]\displaystyle y = x^{-\frac{2}{3}}[/tex]

Step-by-step explanation:

Logarithms

Some properties of logarithms will be useful to solve this problem:

1. [tex]\log(pq)=\log p+\log q[/tex]

2. [tex]\displaystyle \log_pq=\frac{1}{\log_qp}[/tex]

3. [tex]\displaystyle \log p^q=q\log p[/tex]

We are given the equation:

[tex]\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }[/tex]

Applying the second property:

[tex]\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}[/tex]

Substituting:

[tex]\displaystyle \log_{2}(x) = 3\log_{2}(xy)[/tex]

Applying the first property:

[tex]\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))[/tex]

Operating:

[tex]\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)[/tex]

Rearranging:

[tex]\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)[/tex]

Simplifying:

[tex]\displaystyle -2\log_{2}(x) =3\log_{2}(y)[/tex]

Dividing by 3:

[tex]\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}[/tex]

Applying the third property:

[tex]\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)[/tex]

Applying inverse logs:

[tex]\boxed{y = x^{-\frac{2}{3}}}[/tex]

Answer:

she used 60% of her money on the phone

Step-by-step explanation:

Answer:

56π

Step-by-step explanation:

1. Approach

To find the radius of a circle, use the formula;

[tex]A = r^{2}[/tex]π

To find the area of the shaded region, find the area of the larger circle, and then subtract the area of the smaller circle from it.

It is given that the larger circle has a radius of 9, and the smaller has a radius of 5.

2. Area of the larger circle

[tex]A = r^{2}[/tex]π

Substitute in known value (use 3.14 for π)

[tex]A = (9)^{2} * 3.14[/tex]

A = 254.47

3. Area of the smaller circle

[tex]A = r^{2}[/tex]π

Substitute in known value (use 3.14 for π)

[tex]A = (5)^{2} * 3.14[/tex]

A = 78.54

4. Area of the shaded region

Subtract the area of the smaller circle from the area of the larger circle;

254.47 - 78.54 = 175.93

~ 56π

Answer:

4 1/2 or -1 1/2

Step-by-step explanation:

1 1/3-3= -1 1/2

1 1/2+3=4 1/2

Answer:

11.) 7a - 4a = 24      12.) 1800    13.)  5.4     14.) 3.55   15.) 35     16.) 99.32

Step-by-step explanation:

11.)        7(8) - 4(8)

 7 x 8 = 56 ) ( 4 x 8 = 32

          56 - 32 = 24

12.)  15 x 12 = 180

     180 x 10 = 1800

13.)  7.8 − 2.4  = 5.4

14.)   Move the decimal two spaces to the left

        355% = 3.55

15.)  A=hbb

      2=5·14

        2=35

16.)   54.2

        19

    +  26.12

    ---------------

         99.32

Answer:

Quotient : 3x² + 5x + 1

Step-by-step explanation:

9514 1404 393

Answer:

  0

Step-by-step explanation:

The expression ...

  [tex]f^{-1}(1)[/tex]

can be read as "the value of x that makes f(x) = 1".

We can read that value from the graph. It is the y-intercept of the function f(x):

  (0, 1)

The value of x that makes f(x) = 1 is 0. That is, f(0) = 1.

  [tex]\boxed{f^{-1}(1)=0}[/tex]

Answer:

7 / 15= 0.47

Step-by-step explanation:

Answer:

We conclude that:

Step-by-step explanation:

Given

We know that the diagonals of a parallelogram bisect each other.

so

[tex]RT = TP[/tex]

Given

so substituting RT = x, and TP = 5x-28

[tex]RT = TP[/tex]

[tex]x = 5x-28[/tex]

[tex]5x = x+28[/tex]

[tex]5x-x = 28[/tex]

[tex]4x = 28[/tex]

divide both sides by 4

[tex]4x/4 = 28/4[/tex]

[tex]x = 7[/tex]

Therefore, the value of x:

Similarly,

[tex]QT = TS[/tex]

Given

so substituting QT = 5y, and TS = 2y+12

[tex]QT = TS[/tex]

[tex]5y = 2y+12[/tex]

[tex]5y-2y = 12[/tex]

[tex]3y = 12[/tex]

divide both sides by 3

[tex]3y/3 = 12/3[/tex]

[tex]y = 4[/tex]

Therefore, the value of y:

y = 4

Therefore, we conclude that:

Answer:

2*2=4

Step-by-step explanation:

Answer:

13 miles

Step-by-step explanation:

you can go down and to the right or to the left and down but either way it takes 13 miles from her house to Trader Joe's.

Answer:

x = 41

Step-by-step explanation

9^2 + 40^2 = x^2

81 + 1600 = 1682

square root of 1681 = 41

x = 41

Answer:

C

Step-by-step explanation:

AE = 14.6 I think. If I'm wrong, use whatever number it is.

Sin(x) = 5/14.6

Sin(x) = 0.3425

x = Sin-1 (0.3425)

x =20.03

Now the other larger triangle has an acute angle of 90 -20.03 =  69.97

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

Cos(69.97) = 13.1/DE

DE = 13.1/cos(69.97)

DE = 38.25

Answer:

y - 12 = 3(x - 5)

Step-by-step explanation:

Going from (-2, -9) to (5, 12), x (the run) increases by 7 and y (the rise) increases by 21.  Thus, the slope of this line is m = rise / run = 21/7 = 3.

Using the point-slope formula y - k = m(x - h), we get:

y - 12 = 3(x - 5)

Answer:

3x

Step-by-step explanation:

√9x²

√3²x²

√3²√x²

3x

hope it helps

Answer: It number 4

Step-by-step explanation:

Answer:

y = 8

Step-by-step explanation:

Normally you would use the formula y2 - y1 / x2 - x1 also know as change in y over change in x, but this equation leaves you with a horizontal line.

Answer:

9 years ( approximately)

Step-by-step explanation:

900(1.03)^t = 1200

(1.03)^t= 1.33

( 1.03)^t= ( 1.03)^9

So, t= 9

Answer:

C

Step-by-step explanation:

Answer:

The answer is A :)

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Answer:

8. y=2x+6

9. y=1/2x-5

Step-by-step explanation:

Use point slope form to figure out the y intercept. Because it needs to be parallel, the same slope will be used to solve for point slope form.