A rectangular swimming pool has a length of 50m and a breadth of 30m. During a swimming proficiency test, Ethan has to swim from one corner of the pool to the opposite corner. Find the distance Ethan has to swim.

Answer:

y= -2x-3

Step-by-step explanation:

this is because the y intercept is at negative 3 and the rise over run is down 1 over 2

Answer:

D

Step-by-step explanation:

Here, we want to select which of the options that could actually be the inverse of function g

The function that could actually be an inverse is that function in which we have a reversal of values

What we mean in this case is that the x values take up the f(x) values while the f(x) values take up the x values

With respect to this question, the option that fits this description is;

Option D

Answer: For Plato users

Step-by-step explanation:

The correct answer is B .

Just flip the x and y

Answer:

h(x)=20

Step-by-step explanation:

x=5

3(5)+5

15+5

20

Hope this helps!

Answer:20

Step-by-step explanation:

Hello!

So first you want to plug in 5 to all of the x

h(5) = 3(5) + 5

No you want to do 3(5)

3(5) = 15

h(5) = 15 + 5

Now you add 15 + 5

15 + 5 = 20

h(5) = 20

So your answer is 20

Answer:

So BD= 2*(y+4) -> 2*(4+4) = 16

and AX is the same lenght as BX so: AX = y+4 -> 4+4 = 8

Step-by-step explanation:

hope that helped

Answer:

The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm

Step-by-step explanation:

The lengths of side of the triangle are in ratio 8:9:10

Perimeter of triangle = 108 cm

We need to find length of sides of triangles.

The formula used is: [tex]Perimeter \ of \ triangle = Sum \ of \ all \ sides \ of \ triangle\\[/tex]

The length of side of triangle can be expressed as:

First side= 8x

Second Side =9x

Third Side=10x

So, finding x and then calculate length of each side

[tex]Perimeter \ of \ triangle = Sum \ of \ all \ sides \ of \ triangle\\\\108=8x+9x+10x\\108=27x\\x=\frac{108}{27}\\x=4[/tex]

So, value of x = 4

The length of sides of triangle will be found by putting value of x at each side.

First side= 8x = 8*4 = 32 cm

Second Side =9x= 9*4= 36 cm

Third Side=10x = 10*4=40 cm

So, The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm

Answer:

x=2

hope it helps !!

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

By the definition of an inverse function, if:

[tex]f(a)=b\text{ then } f^{-1}(b)=a[/tex]

Therefore, the domain of the original function will be the range of the inverse function.

And the range of the original function will be the domain of the inverse function.

We have the original function:

[tex]f(x)=2x^2-5[/tex]

With the domain:

[tex]-\infty<x<\infty[/tex]

Since the domain of the original function is such, then the range of the inverse function is also the same as above.

So, the range of the inverse function is also:

[tex]-\infty< f^{-1}(x)< \infty[/tex]

So, our answer is

C.

Notes:

A, B, and E would automatically be incorrect since we never use ”or equal to” when using the infinity symbol. This is because we can never “equal” infinity.

Answer:

4/5

Step-by-step explanation:

12-8=4

10-5=5

4/5 is the slope

In order to find an area of a triangle we have to multiply the base by the height.

8.2*4.6=?

So now all we have to do is multiply to find our answer of 37.72!

Answer: A. approximately 37.33° above the ground

Step-by-step explanation:

edge2020

The correct solution to the problem is that the direction of the resultant force will be approximately 37.33° from the horizontal above the ground.

For 30° Vector of 40 pounds :-

If we divide it in components it will become

40 cos 30° Î + 40 sin 30° Ĵ

40 × ( √3 / 2 ) Î + 40 × ( 1 / 2 ) Ĵ

34.64 Î + 20 Ĵ    ( approximately )

For 45° Vector of 35 pounds :-

If we divide it in components it will become

35 cos 45° Î + 35 sin 45° Ĵ

35 × ( 1 / √2 ) Î + 35 × ( 1 / √2 ) Ĵ

24.75 Î + 24.75 Ĵ    ( approximately )

Now adding both vectors

( 24.75 + 34.64 ) Î + ( 24.75 + 20 ) Ĵ    ( approximately )

59.39 Î + 44.74 Ĵ    ( approximately )

Now Using formula of Tan θ to find the value of θ

( Tan θ = Perpendicular / Base )

Tan θ =  44.74 / 59.39

Tan θ =  0.75    ( approximately )

θ =  Tan⁻¹ (0.75)    ( approximately )

θ =  36.87°    ( approximately )

We are calculated the value of θ as 36.87° which is approximate value as we used a lot of approximations while calculating and, the closest option given is 37.33° which is again an approximate value.
So we can say that the correct answer to this problem is The direction of the resultant force will be approximately 37.33° from the horizontal above the ground.

Learn more about Vectors here:

https://brainly.com/question/25705666

#SPJ2

Answer:

The expressions are:

2. [tex]60h+20\ minutes[/tex]

3. [tex]2+\frac{x}{60}\ hours[/tex]

4. [tex]y+0.75\ hours[/tex]

Step-by-step explanation:

The given expressions have to be converted into algebraic expressions.

So,

2. Write an algebraic expression for the total number of minutes in h hours and 20 minutes.

Here,

h is a variable that can have any value but the 20 minutes will remain same with any number of hours.

If h is for hour, the number of minutes in h hours will be: [tex]60*h = 60h[/tex]

And there are also 20 minutes so the algebraic expression is:

[tex]60h+20\ minutes[/tex]

3. Write an algebraic expression for the total number of hours in 2 hours and x minutes.

In order to convert minutes into hour, the minutes are divided by 60

So converting x minutes into hour means

[tex]x\ minutes = \frac{x}{60}\ hours[/tex]

There are 2 hours already so the expression will be:

[tex]2+\frac{x}{60}\ hours[/tex]

4. Write an algebraic expression for the total number of hours in y hours and 45 minutes.

Converting 45 minutes to hours by dividing by 60

[tex]45\ minutes = \frac{45}{60}\ hours = 0.75\ hours[/tex]

The expression is:

[tex]y+0.75\ hours[/tex]

Hence,

The expressions are:

2. [tex]60h+20\ minutes[/tex]

3. [tex]2+\frac{x}{60}\ hours[/tex]

4. [tex]y+0.75\ hours[/tex]

Answer:

I tried my best so I hope this helps :)

(look at the screenshots for the work I don't feel like typing it out)

Step-by-step explanation:

1.) the solution is  [tex]x=\frac{-3+\sqrt{30}}{3}\\[/tex], [tex]x=-\frac{3+\sqrt{30}}{3}[/tex]

2.) the solution is  [tex]n=4,\:n=-1[/tex]

3.) the solution is  [tex]x=-4+\sqrt{26},\:x=-4-\sqrt{26}[/tex]

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

Answer: The speed of the current is 2 miles per hour.

Step-by-step explanation:

We know that the speed of the boat is:

S = 10 mph.

When the boat travels with the current, the speed will be:

S = 10mph + x

where x = speed of the current.

When the boat travels against the current, the speed will be:

S = 10mph - x

Now, for a given amount of time T, when the boat travels with the current, it moves a distance of 6 miles.

Then we have the equation:

(10mph + x)*T = 6mi

And against the current, in the same time the boat moves 4 mi, then:

(10 mph - x)*T = 4mi

Then we have the system of equations:

(10mph + x)*T = 6mi

(10 mph - x)*T = 4mi

Now, we can take the quotient of these two equations and get:

((10mph + x)*T)/((10 mph - x)*T) = (6mi/4mi)

(10mph + x)/(10 mph - x) = 3/2

Now we can solve this for x.

(10mph + x) = (3/2)*(10 mph - x)

10mph + x = (3/2)*10mph - (3/2)*x

x + (3/2)*x = (3/2)*10mph - 10mph

(5/2)*x = (1/2)*10mph = 5mph

x = (2/5)*5mph = 2mph.

The speed of the current is 2 miles per hour.

Answer:

[tex]\frac{6}{10+6}=\frac{4}{10-x}[/tex]

Step-by-step explanation:

For plato

Answer:

-24/12= -2

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

If I'm wrong please tell me

Answer:

x=2

Step-by-step explanation:

4(x+2) = 16

Divide each side by 4

4/4(x+2) = 16/4

x+2 = 4

Subtract 2 from each side

x+2-2 =4-2

x =2

Answer:

x is 2

Step-by-step explanation:

parenthesis first ok ... 2 plus 2 is 4 ok?

and then 4 times 4 is 16 and the numbers haveta equal 16 so there u go mate x equals 2 yall

hope this helps

have a great day

im brooke btw

Answer:

It’s depends on the sign.

Step-by-step explanation:

For example if your question is 3x+16y-8-7x+8y then the answer would be -4x+24y-8 if they have the same variable look at them as a separate equation.

Answer:

"Like Terms" means that you can add or subtract two terms. For instance, you know that you can add and get 5. You were able to add these two 'terms' ( the '2' and the '3') because they are both numbers! However, you might also know that you cannot 'combine' 2 and x. Since 2 is a number and 'x' is not, they are not like terms.

Basically if its two numbers that are the same, For example (-2x and -4x) and have with the same variables you would add them. If they are like this (5x and -2x) you would subtract them because its a negative and positive number and get ( 3x).

Hope i helped!!!!

Answer:

p and q are parallel to each other and l, m, and n are all parallel

Step-by-step explanation:

because it tells us they make right angles we know all the lines are going straight therefor they will not intersect with each other

Answer:

5/8

Step-by-step explanation:

1/4=2/8

7/8-2/8=5/8

Your sentence:

16 < 4x

Answer:

$12

Explanation: 60 x .2= 12 + 60= $72

Answer:

-7/3

Step-by-step explanation:

Since the lines are parallel, the slopes would have to be the same

Step-by-step explanation:

Multiply both by 100 (same number of 0s as the most decimals places in either of the starting numbers.)

so you get 8350/625

then it's normal from there

Answer:

5040a^2b^2

Step-by-step explanation:

(3a2b7)(5a3b8)

(42ab)(120ab) multiply everything inside each parenthensis

42ab * 12ab remove parenthesis

5040a^2b^2 multiply

Answer:

the answer is D

Step-by-step explanation:

It shows both numbers of the graph.

M(-2,0), and N(-1, 2)

Answer:

Definition: The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Example: From the graph, describe the x and y-intercepts using point notation. The graph crosses the x-axis at x = 1 and x = 3, therefore, we can write the x-intercepts as points (1,0) and (–3, 0). Similarly, the graph crosses the y-axis at y = 3. Its y-intercept can be written as the point (0,3).

9514 1404 393

Answer:

  43°

Step-by-step explanation:

Following the instructions is generally useful.

  5x +9 = 30 -3x +27 +2x

  6x = 48 . . . . add x-9

  x = 8 . . . . . . .divide by 6

  27 +2x = 27 +2(8) = 43 . . . . substitute into the expression for angle DFE

angle DFE = 43°

Answer:

m = [tex]\frac{2}{3}[/tex] , b = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Given

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide all terms by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex] and y- intercept b = - 2

Answer:

y- intercept is (0, -2)

slope is 2/3

Step-by-step explanation:

find 2 points on the line:

2x-3y=6

1/2*(6+3y) =x

if y is 2, x is 6 ((6,2))

if y is 4, x is 9 ((9, 4))

y-intercept is when x = 0.

0-3y=6

y=-2

slope is (y2-y1)/(x2-x1): choose y2 and the corresponding x-coordinate is x2. then the others are the 1's. let's use 4 as y2 which means:

x2 = 9

x1 = 6

y1 = 2

then plug in and solve.

(4-2)/(9-6)

= 2/3

m = 2/3

Hope this helps!

Answer:

The answer is x=8

Step-by-step explanation:

hope that helps

9x+89=161

9x+89−89=161−89

9x=72

9x/9=72/9

x=8

Answer:

x = 8

Step-by-step explanation:

We just need to solve for x!

Here is a step-by-step process:

9x + 89 = 161

Subtract 89 from both sides

9x = 72

Divide both sides by 9

x = 8