PLEASE HELP!
A right triangle is formed in the first quadrant by the x- and y- axes and a Straight line through the point (2,3). The other vertices are (0,0) (0,Y) (X,0).

a) Write the length L of the hypotenuse as a function of x
b) Find the vertices of the triangle such that its are is a minimum

Answer:  See below

Step-by-step explanation:

-3    2^x + 3 = 2^(-3) + 3 = 0.125 + 3 = 3.125      (-3, 3.125)

-2    2^x + 3 = 2^(-2) + 3 = 0.25 + 3 = 3.25         (-2, 3.25)

-1    2^x + 3 = 2^(-1) + 3 = 0.5 + 3 = 3.5                (-1, 3.5)

0    2^x + 3 = 2^(0) + 3 = 1 + 3 = 4                        (0, 4)

1   2^x + 3 = 2^(1) + 3 = 2 + 3 = 5                          (1, 5)

2    2^x + 3 = 2^(2) + 3 = 4 + 3 = 12                      (2, 12)

3    2^x + 3 = 2^(3) + 3 = 8 + 3 = 11                       (3, 11)

Answer:

are there no options

Step-by-step explanation:

?

the answer is 60degree..hope it helps u

Answer:

There are no solutions

Step-by-step explanation:

Because the lines are parallel, they will never meet, meaning there are no solutions to this system of equations

Answer:

2

Step-by-step explanation:

Answer:

the answer to the question is 2

Answer:

315m ^3

Step-by-step explanation:

make sure you put the exponent !!

Answer:

8n

Step-by-step explanation:

First 6 multiples of 8 = 8, 16, 24, 32, 40, 48

So the nth term of the multiple of 8 = 8n

For example for the 15th term of 8, 8×15=120

Answer:

a. 7

Step-by-step explanation:

7x7=49

Answer:

7.

Step-by-step explanation:

7x7=49

3:45 mate :)

Step-by-step explanation:

60/3=20 +8:05=8:25

+7hrs from 8:25=3:25

3:25+20=3:45

Hope this helps :)

Answer:

3:45

Step-by-step explanation:

Answer:

[tex] \frac{2}{3} \\ \\ \frac{2}{2} \\ \\ \frac{4}{3} [/tex]

Step-by-step explanation:

I hope that is useful for you :)

Answer:

For example 1/1, 2/3 and 4/3

Step-by-step explanation:

There is a great way to generate rational numbers between other rational numbers using:

[tex]\textrm{If:~~~~~~} \frac{a}{b} < \frac{c}{d}\vspace{7pt}\\\textrm{Then:~} \frac{a}{b} < \frac{a+c}{b+d} < \frac{c}{d}[/tex]

So we know that (1+3)/(2+2) is between 1/2 and 3/2 without checking.

(1+3)/(2+2) = 1/1, so we got our first rational number.

Lets continue by finding numbers between 1/2 and 1/1; and 1/1 and 3/2

(1+1)/(2+1) = 2/3

(1+3)/(1+2) = 4/3

We could also look for a number between 1/2 and 2/3 and find

(1+2)/(2+3) = 3/5

And so on, so forth :)

Answer:

3x^3-2x^2-4x+2( option A) remainder= 7

Step-by-step explanation:

Answer:

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

Step-by-step explanation:

Let

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

1. The company used 100.5 liters of real fruit juice, then

2. Drink A:

x = amount of real fruit juice used

percentage of real fruit juice

Then

5x = amount of drink A produced

Drink B:

y = amount of real fruit juice used

percentage of real fruit juice

Then

amount of drink B produced

The company makes 30 more liters of Drink A than liters of Drink B, so

The system of two equations is

Answer:

x = 9

Step-by-step explanation:

diagonals bisect each other so we can set up these equations:

x+8 = 2y+5

2x = 3y

in the top equation we can solve for 'x': x = 2y-3

in the second equation we can solve for 'x': x = 3y/2

2y-3 = 3y/2

multiply each side by 2 to eliminate fractions:

4y - 6 = 3y

4y = 3y + 6

y = 6

2x = 3(6)

2x = 18

x = 9

Answer:

Tn = 1 + 2n

Step-by-step explanation:

Given the arithmetic sequence

3 , 5 , 7 ...

The nth term of an AP is expressed as;

Tn = a + (n-1)d

a is the first term = 3

d is the common difference = 5-3 = 7-5 = 2

n is the number of terms

Substitute

Tn = 3 + (n-1)(2)

Tn = 3 + 2n-2

Tn = 1 + 2n

Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n

Answer:

V=(πr^2 x h)/3

lets use π as 3.14 cause I dont know what pi u using

3.14 x 4^2 x 15 = 753.6/3 = 251.2

If you're using π as your pi, than just replace 3.14 by π on calculator

Hope that answers your question

Answer:130

Step-by-step explanation:\

Answer:

y = - 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

3x + y = 3 ( subtract 3x from both sides )

y = - 3x + 3 ← in slope- intercept form

Answer:

y=-3x+3

Step-by-step explanation:

3x+y=3

y=3-3x

y=-3x+3

Answer:

3.65 hours

Step-by-step explanation:

8.76/2.4=3.65

Answer:

3.65

Step-by-step explanation:

T=D÷V

8.76÷2.4= 3.65

Answer:

its c

Step-by-step explanation:

because i multuply

Answer:

320 cubic centimeters

Step-by-step explanation:

Multiply.

--

20 x 4 x 4 = 320

--

Finding Volume

Length x Width x Height = Volume

--

Answer:

Area= (22/7)* (8x^2y^8z^16)/2* (8x^2y^8z^16)/2

Step-by-step explanation:

Diameter= 8x^2y^8z^16, So Radius= (8x^2y^8z^16)/2

Area of circle= pie* r*r

= (22/7)* (8x^2y^8z^16)/2* (8x^2y^8z^16)/2

Answer:

man I have no idea dude I don't really know squares if you're talking about square root I really don't know

Answer:

x = [tex]\frac{1}{2}[/tex],  -  [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

This is not so fun!

[tex]4x^{2} + 8x - 5 = 0\\[/tex]

Step 1:  Move the 5 to the right side

[tex]4x^{2} +8x = 5[/tex]

Step 2:  Divide thru by 4

[tex]x^{2} + 2x = \frac{5}{4}[/tex]

Step 3:  Divide 2 (from 2x)  by 2 and square the result and add that to both sides of the equation.

2/2 = 1    1 squared = 1

[tex]x^{2} + 2x + 1 = \frac{5}{4} +1 = \frac{9}{4}[/tex]

Step 4:  Factor the left side

[tex](x + 1)^{2} = \frac{9}{4}[/tex]

Step 5:   Take the square root of both sides

x + 1 = ±[tex]\sqrt{\frac{9}{4} }[/tex] =  ± [tex]\frac{3}{2}[/tex]

Step 6:   Move the 1 to the right side and add the results

x = -1 ± [tex]\frac{3}{2}[/tex] = -1 +  [tex]\frac{3}{2}[/tex]   or -1 -  [tex]\frac{3}{2}[/tex]

              = [tex]\frac{1}{2}[/tex]    or   -  [tex]\frac{5}{2}[/tex]

And bingo, you have the solutions by completing the square.  Lot of fun, huh.  

Answer:

$114.32

Step-by-step explanation:

Original Price: $132.52

increased: $34.65

Loyalty Club: -$57.80

Phone Fee: $4.95

You add all of them together, except for the Loyalty Club Fee. You subtract that fee by the total.

The amount of pay for a one-night stay, if they are a member of the hotel's loyalty club and make their reservation over the phone, will be $113.77

The average cost of a one-night stay at a hotel was $132.52. Since then, the hotel has changed ownership, and several changes have been made to the cost of staying at the hotel. Last summer, the new owners adjusted room prices so that the average cost of a one-night stay increased by $34.65.

Last December, the new owners offered a $57.80 per night discount to guests who belong to their loyalty club. Last week, the new owners introduced a service fee of $4.95 for any reservation made over the phone.

The price will be calculated as:-

Original Price: $132.52

increased:   $34.65

Loyalty Club : - $57.80

Phone Fee: $4.95

You add all of them together, except for the Loyalty Club Fee. You subtract that fee by the total.

=  132.52  +   34.65   +   4.95   -   57.80  =  $113.77

Therefore the amount of pay for a one-night stay, if they are a member of the hotel's loyalty club and make their reservation over the phone, will be $113.77.

To know more about the amount follow

https://brainly.com/question/25109150

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B. x = 5; angle measure is 30°.

Answer:

Point form: ([tex]\frac{1}{2}[/tex],-3)

Equation form: x=1/2  y=-3

Step-by-step explanation:

hope it helps ;)

Answer:

Median?

Step-by-step explanation:

Question is kinda unclear.

Mean: Average of the data values

Median: Middle of all the data values

Mode: Amount of times a value appears

Range: Difference between largest and smallest values.

Answer:

1/4

Step-by-step explanation:which is 2/8 simplified