What is the equation of the line that is perpendicular to y = -2/3x+4 and that passes through (-2,-2)

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

let the diagonal be d

using the pythagoras theorem,

[tex]6^{2} + 6^{2} = d^{2}[/tex]

[tex]d=\sqrt{72}[/tex]

which in radical form is

[tex]6\sqrt{2}[/tex]

Answer:

[tex] \frac{6}{6 + AB} = \frac{8}{8 + 10} \\ \\ 6 + AB = \frac{6 \times (8 + 10)}{8} \\ 6 + AB = 13.5 \\ AB = 7.5 [/tex]

Answer:

thas multiple matrix bro

Step-by-step explanation:

√129 is less than [tex] \frac{95}{8} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

Let us first solve for √129.

➝[tex] \:\sqrt{129} [/tex]

➝[tex]\:11.3578[/tex]

Now,

➝[tex]\: \frac{95}{8} [/tex]

➝[tex]\:11.875[/tex]

Clearly,

➵[tex]\:11.3578 < 11.875[/tex]

➵[tex]\: \sqrt{129} < \frac{95}{8} [/tex]

Hence, √129 is less than [tex] \frac{95}{8}[/tex].

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]

Answer:

Empty square = +

Empty Circle = ÷

Step-by-step explanation:

In order to eliminate the extra numbers from the equation you have to do the opposite of the problem. So...

-6x-1=5

-6x -1+1 = 5+1 (eliminating the 1 from the -6x side and adding it to the other side)

-6x = 6

-6x ÷ -6 = 6 ÷ -6 ( eliminating the-6 so that one side just has x)

so... x= -1

Answer: Option B is your correct answer.

Answer:

5

Step-by-step explanation:

since the 2 points have y values, line ST is parallel to x axis.

we just need to look for the difference between the two x values of the two points. I.e. 9-4 = 5

Answer:

A

Step-by-step explanation:

x + 9 = 26

x = 17

Answer:

A.17

Step-by-step explanation:

17+9=26

Answer:

6ab + 8a² - 15b - 20a

Step-by-step explanation:

Expand by using FOIL method

4(2a-5) + 3b(2a-5)

4a(2a) + 4a × -5 + 3b × -5

Simplify terms

8a² - 20a + 6ba -15b

6ab + 8a² - 15b - 20a

Answer:

150%

Step-by-step explanation:

divide 6 by 4 then multiply by 100 to get 150%. :)

Answer:

1/8 of the original sum still remains.

Step-by-step explanation:

If you spend 3/4 of what you have, you have 1/4 left.

Now you spend 1/2 of that 1/4, so basically divide 1/4 by 2. When dividing fractions you can multiply the fraction by the reciprocal of the other fraction.

[tex]\frac{1}{4}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{4}[/tex] * [tex]\frac{1}{2}[/tex]

= 1/8

So I think 1/8 of the original sum still remains.

Hope this helped, please mark brainliest if possible. Have a nice day.

Answer:

1/3x +2/3 = y

Step-by-step explanation:

y= 3x-2

To find the inverse, exchange x and y

x = 3y-2

And solve for y

x+2 = 3y-2+2

x+2 = 3y

Divide by 3

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

1/3x +2/3 = y

Answer:

Mean = 7

Step-by-step explanation:

Given the following data;

Number of games = 8

Scores = 5, 11, 9, 9, 4, 5, 6, 7

We would sum all the scores together to get a total score.

Total scores = 5 + 11 + 9 + 9 + 4 + 5 + 6 + 7 = 56

Now, to find the mean;

[tex] Mean = \frac {total \; scores}{number \; of \; games} [/tex]

Mean = 56/8

Mean = 7

Answer:

7 is the mean score.

Step-by-step explanation:

Now we have to,

→ find the required mean score.

The given scores are,

→ 5, 11, 9, 9, 4, 5, 6, 7

→ Numbers = 8

Then the mean score will be,

→ (5 + 11 + 9 + 9 + 4 + 5 + 6 + 7)/8

→ 56/8 = 7

Hence, the mean score is 7.

Answer:

x = [tex]\frac{11}{c}[/tex]

Step-by-step explanation:

Given

cx - 4 = 7 ( add 4 to both sides )

cx = 11 ( isolate x by dividing both sides by c )

x = [tex]\frac{11}{c}[/tex]

1) 1 hour and 15 minutes

2) 4:07

3) 30 minutes

4) 8:35

9) 1 hour and 53 minutes

10) 4:17

11) 2 hours and 52 minutes

12) 3:35

13) 9:55

14) 8:10

15) 1 hour and 45 minutes

16) 3:05

17) 6:48

18) 9:45

19) 1 hour and 25 minutes

20) 2 hours and 45 minutes

Brainliest would be appreciated :)

Answer: Choice B

x+6y = 29  and  x+3y = 24.5

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

Explanation:

x is the cost of a throw blanket

On top of this cost is the cost to embroider letters on it

Your name has 6 letters so it costs you an extra 6y dollars. Overall, you pay x+6y dollars. It says that your cost is $29

So that's where x+6y = 29 comes from.

-------------

Similarly, your friend also pays x dollars for the blanket itself plus an extra 3y dollars for the 3 letters in their name. Overall, they pay x+3y dollars. We're told they spent $24.50 which is where the equation x+3y = 24.5 comes from.

Answer:

2nd one = x + 6y = 29 , x + 3y = 24.5

Step-by-step explanation:

Have a nice day!

Answer:

x = 10.6

Step-by-step explanation:

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

sin(49) = 8/x

x = 8/sin(49)

x = 10.6

Step-by-step explanation:

answer is in photo above

Answer:

[tex]{ \tt{2 {x}^{2} + 10x + 8 }} \\ { \tt{ = (x + 1)(x + 4)}}[/tex]

Answer:

A. 2 ( x + 4 )( x + 1 )

Step-by-step explanation:

2x² + 10x + 8

factor out 2 from the equation

2 ( x² + 5 x + 4 )

write 5x as a sum and rewrite the expression

2 ( x² + 4x + x + 4 )

factor out x from the equation

2 ( x ( x + 4 ) + x + 4 )

factor out x + 4 from the equation

2 ( x + 4 ) ( x + 1 )

Answer:

In 10 hours, the population is 6050 bacteria. In 20 hours, the population is 732050 bacteria.

Step-by-step explanation:

Bacterial populations can be assumed to grow exponentially. In 5 hours, since the population will have multiplied by 11, in 10 hours it will have multiplied by 121 (11^2) and by 14641 (11^4).

50 * 11 * 11 = 6050

50 * 11 * 11 * 11 * 11 = 732050

Answer:

Step-by-step explanation:

550 = 50 [tex]x^{5}[/tex]

11 =   [tex]x^{5}[/tex]

ln(11) = 5 ln(x)

x = [tex]e^{ln(11)/5}[/tex]

x = 1.615

10 hours ....

A= 50 ([tex]1.615^{10}[/tex] )

A= 50 ([tex]1.615^{10}[/tex] )

A=6050

20 hours ....

A= 50 ([tex]1.615^{20}[/tex] )

A= 50 ([tex]1.615^{20}[/tex] )

A=732,050

Answer:

B

Step-by-step explanation:

that is a linear equation, therefore it makes a line, eliminating choices C and D.

Lines can literally Any x or y. So it would be B, a set of all the solutions to the equations.

Given:

Scott can run 20 km in 85 minutes.

To find:

How long will it take Scott to run 52 km?

Solution:

Let us consider x be the number of minutes it will take him to run 52 km.

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

By using this formula, we get

[tex]Speed=\dfrac{20}{85}[/tex]           ...(i)

[tex]Speed=\dfrac{52}{x}[/tex]             ...(ii)

On equating (i) and (ii), we get

[tex]\dfrac{20}{85}=\dfrac{52}{x}[/tex]

[tex]20\times x=52\times 85[/tex]

[tex]20x=4420[/tex]

On dividing both sides by 20, we get

[tex]x=\dfrac{4420}{20}[/tex]

[tex]x=221[/tex]

Hence, it will take 221 minutes to run 52 km.

Answer:

A pair of linear functions

Step-by-step explanation:

Given

See comment for options

Required

Which has real numbers as its range and domain

The answer to this is, the linear functions

Take for instance

[tex]f(x) = mx + b[/tex]

The above function is real for all values of x

The inverse is calculated as thus:

[tex]f(x) = mx + b[/tex]

Replace f(x) with y

[tex]y = mx + b[/tex]

Swap y and x

[tex]x = my + b[/tex]

Make y the subject

[tex]my = x - b[/tex]

Divide by m

[tex]y = \frac{x - b}{m}[/tex]

Replace y with the inverse function

[tex]f^{-1}(x) = \frac{x - b}{m}[/tex]

The above function (i.e. the inverse function) is real for all values of x

This is not true for other options

Answer:

x=20, y=17, and z=6 or (20,17,6)

Step-by-step explanation:

Hi there!

We're given the system of equations:

2x+z=46

3z=18

2y+z=40

and we need to solve for x, y, and z

first, let's find the value of z, as we have z by itself (no other variables) in 3z=18

divide both sides by z

z=6

the value of z is found :)

now we can use z=6 to find the value of the other variables; for example, plug z as 6 into 2x+z=46 to solve for x

2x+6=46

subtract 6 from both sides

2x=40

divide by 2

x=20

Finally, let's find y

once again, we can substitute z as 6 in the equation 2y+z=40 to find y

2y+6=40

subtract 6 from both sides

2y=34

divide by 2

y=17

so the answer is: x=20, y=17, and z=6; if you need it in a point it's (20,17,6)

Hope this helps! :)

Step-by-step explanation:

6+ 7•log2 x = 21

7.log2 x = 21-6

7. log2 x = 15

log2 x = 15/7

x = 2^(15/7)

x = 4.416 = 4.42

Answer:

a) is the correct answer.

Answer:

Approximately 0.0121 will be left after 15 days.

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is given by:

[tex]y=a(b)^x[/tex]

Let x represent the amount of days. Since the initial amount is 3,820 pounds, a = 3820. It decays at a rate of 57% per day. So, after one day, it will only have 100% - 57% = 43% or 0.43 of its previous amount. So, b = 0.43.

Hence, our function is:

[tex]y=3820(0.43)^x[/tex]

After 15 days, x = 15. Substitute and evaluate:

[tex]y(15)=3820(0.43)^{15}\approx 0.0121\text{ pounds}[/tex]

Answer:

A

Step-by-step explanation:

X(-4, -5) ---> T<0,7> ---> X'(-4+0, -5+7) =>(-4, 2)

L(-5, -2) ---> T<0,7> ---> L' (-5+0, -2+7) =>(-5, 5)

W(-3, -3)--->T<0,7> --->W'(-3+0, -3+7)

=>(-3, 4)

the correct answer is option A

Answer:

Step-by-step explanation:     6  29  7  42

6)  a number x increased by -18

             x + (-18)    

   or       x -  18

7)    x subtracted from its reciprocal

              1/x  - x  

8)   two numbers have the sum of 11, one number is q find the other

             x + q = 11

             x + q - q = 11 - q       q - q = 0

              x + 0  = 11 - q

              x = 11 - q

9)    six is added to 4 times a number equals 42, find the number

      ( I don't know the six steps discussed in class.  This is how I would do it)

             6 + 4x = 42

             6 - 6 + 4x = 42 - 6              isolate the variable,  - 6 from both sides

             0 + 4x = 36                            6 - 6 = 0,  43 - 6 = 36, solve for x

                4x/4 = 36/4                      divide both sides by 4

                  1x  =  36 /4                        4/4 = 1

                  x  =   9