The sum of two real numbers is 8 and their product is 14. What is the sum of their reciprocals?

Answer:

The area of a triangle is:

Step-by-step explanation:

Given the points of a triangle

A(1, 1)

B(2, 3)

C(4, 5)

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

Distance between AB:

[tex]AB=\sqrt{\left(2-1\right)^2+\left(3-1\right)^2}[/tex]

     [tex]=\sqrt{1+4}[/tex]

     [tex]=\sqrt{5}[/tex]

so

Distance between BC:

[tex]BC=\sqrt{\left(4-2\right)^2+\left(5-3\right)^2}[/tex]

     [tex]=\sqrt{2^2+2^2}[/tex]

     [tex]=\sqrt{2^3}[/tex]

     [tex]=2\sqrt{2}[/tex]

so

Distance between AC:

[tex]AC=\sqrt{\left(4-1\right)^2+\left(5-1\right)^2}[/tex]

    [tex]=\sqrt{3^2+4^2}[/tex]

   [tex]=\sqrt{5^2}[/tex]

    [tex]=5[/tex]

so

Semiperimeter = sum of sides ÷ 2            

                       [tex]s=\frac{\sqrt{5}+2\sqrt{2}+5}{2}=5.03224[/tex]

Area of the triangle:

[tex]A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}[/tex]

[tex]A=\sqrt{s\left(s-\sqrt{5}\right)\left(s-2\sqrt{2}\right)\left(s-5\right)}[/tex]

[tex]A=\sqrt{5.03224\dots \left(5.03224\dots -\sqrt{5}\right)\left(5.03224\dots -2\sqrt{2}\right)\left(5.03224\dots -5\right)}[/tex]

[tex]A=1[/tex]

Therefore, the area of a triangle is:

Step-by-step explanation:

Here is the answer...

Hope this helps you

Answer:

126.8 Hope this helps

Answer:

80 meals

Step-by-step explanation:

Set up an equation where x is the number of meals:

100x + 3000 = 70x + 5400

Solve for x:

100x + 3000 = 70x + 5400

30x + 3000 = 5400

30x = 2400

x = 80

So, at 80 meals, the cost of the 2 venues will be the same

Answer:

80 metals

Step-by-step explanation:

100x + 3000 = 70x + 5400

How to Solve for x:

100x + 3000 = 70x + 5400

30x + 3000 = 5400

30x = 2400

x = 80

So, at 80 meals, the cost of the 2 venues will be the exact same

Step-by-step explanation:

Given the equation;

3(x-2) = 4

A sequence of steps for solving the equation is as shown;

Step 1: Open the parenthesis by applying distributive law to distribute 3 over x and 2 as shown;

3(x-2) = 4

3(x)- 3(2) = 4

3x - 6 = 4

Step 2: Add 6 to both sides of the equation (Addition property)

3x-6+6 = 4+6

3x = 10

Step 3: Division property of equality. Divide both sides by 3;

3x = 10

3x/3 = 10/3

x = 10/3

Answer:

8/343

so A

Step-by-step explanation:

Answer:

$12.60

Step-by-step explanation:

12/100 × 12 = 0.60

12 + 0.60 = 12.60

Answer:

20

Step-by-step explanation:

3x+14=2(2x-3)

3x+14=4x-6

3x-4x=-6-14

-x=-20

X=20

So the valueof X is 20

Answer:

b. 36

Step-by-step explanation:

Evaluate x^4 - 4 x^2 + 3 x where x = -3:

x^4 - 4 x^2 + 3 x = (-3)^4 - 4×(-3)^2 - 3×3

Hint: | Evaluate (-3)^2.

(-3)^2 = 9:

(-3)^4 - 49 - 3×3

Hint: | Determine the sign of (-3)^4.

(-3)^4 = (-1)^4×3^4 = 1×3^4:

3^4 - 4×9 - 3×3

Hint: | Compute 3^4 by repeated squaring.

3^4 = (3^2)^2:

(3^2)^2 - 4×9 - 3×3

Hint: | Evaluate 3^2.

3^2 = 9:

9^2 - 4×9 - 3×3

Hint: | Evaluate 9^2.

9^2 = 81:

81 - 4×9 - 3×3

Hint: | Multiply -4 and 9 together.

-4×9 = -36:

81 + -36 - 3×3

Hint: | Multiply 3 and -3 together.

3 (-3) = -9:

81 - 36 + -9

Hint: | Group the negative terms in 81 - 36 - 9 together and factor out the minus sign.

81 - 36 - 9 = 81 - (36 + 9):

81 - (36 + 9)

Hint: | Evaluate 36 + 9 using long addition.

| 1 |  

| 3 | 6

+ | | 9

| 4 | 5:

81 - 45

Hint: | Subtract 45 from 81.

| 7 | 11

| 8 | 1

- | 4 | 5

| 3 | 6:

Answer: 36

Answer:

x = -4

Step-by-step explanation:

4(3x + 2) = 4(2x + 3) + 4x (distribute the 4's on both sides)

12x + 8 = 8x + 12 + 4x (collect like terms)

12x + 8 = 13x + 12 (subtract 12x on both sides)

8 = x + 12 (subtract 12 on both sides)

-4 = x

Hope this helps ya!

Answer:

$12.55

Step-by-step explanation:

25-6.75=18.25

18.25-3.70=14.55

14.55-2=12.55

Miguel has $12.55 left

Answer:

35

Step-by-step explanation:

5*1+3*10

5+30 = 35

Answer:

I think it’s A,C, and E

Step-by-step explanation:

I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .

Answer:

6?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2 + 4 =6

just add 2 by 4 than ans 6

Answer:

0x + y = 6

Step-by-step explanation:

Equation of the Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It can be later converted to any other form of the line. For example, the standard form is:

[tex]Ax + By = C[/tex]

Let's find the equation by using the given points (0,6) (5,6):

[tex]\displaystyle y-6=\frac{6-6}{5-0}(x-0)[/tex]

Operating:

[tex]\displaystyle y-6=\frac{0}{5-0}(x-0)[/tex]

y - 6 = 0

Or, equivalently:

0x + y = 6

This corresponds to a horizontal line

Answer:

Not a function

Step-by-step explanation:

Answer:

C. 30 is the correct answer.

Step-by-step explanation:

Answer:

y = 10x - 3

Step-by-step explanation:

Answer:

f(x)=10x+-3

f(x)=mx +b

m= slope

b= y intercept

Step-by-step explanation:

Answer:

a) there is no chart but we can elaborate one:

taxi fee            half-miles driven

$1.75                      0

$2.05                     1

$2.35                     2

$2.65                     3

$2.95                     4

$3.25                     5

$3.55                     6

b) y = 0.3x + 1.75

where:

y = taxi fee

x = half miles driven

Answer: AEC = 80

              X=30

YW ;)

Answer:

Yellow is correct.

You can add the valued and divide by how many values there are to find the mean

The score of 20 is an outlier and brings the mean score down by almost 10%

Step-by-step explanation:

Answer:

3: The low score causes the mean to decrease.

Step-by-step explanation:

If you add a significantly lower number, it will bring down the overall average.

Hope this helps!

Answer:

Your answer is: ↓

If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]

If you are trying to figure if that equation is determined T/F: The answer is T.

If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]

Step-by-step explanation:

Hope this helped : )

Answer:

3

Step-by-step explanation:

Answer:

I don't know how you would submit this but I do know it's a transformation. So you would move it across the x-axis 4 or 5 times depending on the shape. So I would maybe just write out each individual number like 3,4,5

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

This is like a part over whole problem, where 24 blue pens is the part and 96 pens total is the whole.

24/96 = 0.25 * 100 = 25%

Answer:

Of the 96 pins, 25% of the pins were blue.

Step-by-step explanation:

We are given that Martina ordered 96 pins in total. We are also given that she ordered 24 blue pins.

With this, we can determine how many of the pins were not blue pins by subtracting the amount of blue pins from the number of total pins.

[tex]96 \ \text{total pins} - 24 \ \text{blue pins} = 72 \ \text{orange pins}[/tex]

Now, we can divide the number of blue pins by the number of total pins to determine the fraction of blue pins to total pins.

[tex]\displaystyle \frac{24}{96} = \frac{12}{48} = \frac{6}{24} = \frac{3}{12} = \frac{1}{4}[/tex]

Then, we can convert our fraction to a decimal.

[tex]\displaystyle \frac{1}{4} = 0.25[/tex]

And finally, we can convert our decimal to a percentage by multiplying the determined decimal by 100.

[tex]0.25\times100 = 25\%[/tex]

Therefore, of the 96 pins that Martina ordered, 25% of them were blue.

Answer:

The factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor  [tex]\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor [tex]2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x+5[/tex]

[tex]=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Answer:

The company is expected the company will receive