Change a speed of 50 metres per second to a speed in kilometres per hour.

Answer:

[tex]\mathsf{y=-\dfrac13x+5}[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]\mathsf{y=mx+b}[/tex]

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, 5)

Therefore, b = 5

Choose another point on the line, e.g. (3, 4)

Now use the slope formula to find the slope:

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

where:

[tex]\implies \mathsf{slope=\dfrac{5-4}{0-3}=-\dfrac13}[/tex]

Therefore, the equation of the line is:

[tex]\mathsf{y=-\dfrac13x+5}[/tex]

Answer:

[tex]y=-\frac{1}{3} + 5[/tex]

Step-by-step explanation:

Answer:

[tex]x[/tex] intercept is at (6, 0).

[tex]y[/tex] intercept is at (0, 2).

Step-by-step explanation:

Given the equation of graph:

[tex]3x+9y=18[/tex]

To find:

[tex]x[/tex] and [tex]y[/tex] intercepts of the graph and then plotting the graph.

Solution:

[tex]x[/tex] intercept is the point on graph where the value of [tex]y[/tex] coordinate is zero.

[tex]y[/tex] intercept is the point on graph where the value of [tex]x[/tex] coordinate is zero.

Putting [tex]y=0[/tex] :

[tex]3x=18\\\Rightarrow x = 6[/tex]

So, [tex]x[/tex] intercept is at (6, 0).

Putting [tex]x=0[/tex] :

[tex]9y=18\\\Rightarrow y = 2[/tex]

So, [tex]y[/tex] intercept is at (0, 2).

Plotting the points of [tex]x[/tex] and [tex]y[/tex] intercepts on the graph and joining them to form the graph of given equation.

Answer:

1/2

Step-by-step explanation:

12 is the rise 24 is the run

12/24 simplified is 1/2

The required slope of the given ramp is given by 1/2. Option C is correct.

Given that,
A motocross ramp is 12 feet tall and 24 feet long. What is the slope of the ramp as a fraction in the lowest terms is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the ramp is evaluated as,
= vertical height / horizontal distance,
= 12 / 24
= 1 / 2

Thus, the required slope of the given ramp is given by 1/2. Option C is correct.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{+4}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(4)}}{2(3)}\implies x=\cfrac{-2\pm \sqrt{4-48}}{6}[/tex]

[tex]x=\cfrac{-2\pm \sqrt{-44}}{6}\implies x=\cfrac{-2\pm \sqrt{(-1)(2^2)(11)}}{6}\implies x=\cfrac{-2\pm 2~i\sqrt{11}}{6} \\\\\\ x=\cfrac{2(-1\pm i\sqrt{11})}{6}\implies x=\cfrac{-1\pm i \sqrt{11}}{3}[/tex]

mind you that it has two complex roots, or imaginary values.

Answer

72°

Step-by-step explanation:

[tex]because\ AC=AB\ therefore\ < ACB= < ABC=6x\\ And\ because\ the\ sum\ of\ the\ angles\ of\ a\ triangle\\ is\ 180\ .\\ therefore\ < ACB+ < ABC+ < CAB=180\ degrees\\ 3x+6x+6x=180\ degrees\\ 15x=180\ degrees\\ x=12\ degrees\\ < ABC=6x=6\times12\ degrees=72\ degrees[/tex]

I hope this helps you

:)

Answer:

∠ABC = 72°

Step-by-step explanation:

When we look at the triangle carefully, we can see a bar on AC and AB. Those bars define that AC and AB are equivalent. This also means that the triangle is isosceles. Since this triangle is isosceles, the base angles of the triangle are equivalent.

⇒ AB = AC

We also know that the sum of its interior angles must be 180°.

⇒ ∠A + ∠B + ∠C = 180

Let's substitute their angle measures.

⇒ 3x + 6x + 6x = 180                                         [∠BAC = 3x; ∠ABC = ∠ACB = 6x]

Now, let's solve for x.

⇒ 3x + 6x + 6x = 180

⇒ 15x = 180

⇒ 15x/15 = 180/15

⇒ x = 12

Now, substitute the value of x into "6x" to find ∠ABC.

∠ABC = 6x

⇒ ∠ABC = 6(12)

⇒ ∠ABC = 72°

Answer:

x = 8.75

Step-by-step explanation:

The given angles are corresponding and congruent, thus

8x - 25 = 4x + 10 ( subtract 4x from both sides )

4x - 25 = 10 ( add 25 to both sides )

4x = 35 ( divide both sides by 4 )

x = 8.75

Answer:

The answer is scientific notation

Step-by-step explanation:

The definition of scientific notation is a way of expressing real numbers that are too large or too small to be conveniently written in decimal form.

I hope this helps :)

Answer:

1/9

Step-by-step explanation:

5a=45

divide it by 5 and a will =9

9b=1

divide 1 by 9

you get 1/9=b

therefore 9x1/9=1

Answer: Area = 108 in. or 3/4 ft.

Step-by-step explanation: The formula for the area of a rectangle is l•w (length times width).

To get the area, you need to convert the units of measurement to one or the other (either inches or feet) because you cannot multiply them unless they are the same.

To get the area in inches, you convert 3 ft. to inches which is 36 inches, and then multiply it by 3 inches. You will get that the area = 108 inches.

To get the area in feet, you convert 3 inches to feet which is 1/4 (or 0.25) feet and then multiply it by 3 feet which gives you area = 3/4 ft. (or 0.75 ft.). Hope this helps.

Answer:

5+n/8= 42

Step-by-step explanation:

Answer:

5+n/8= 42

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

2^−1 + 2^−1

2x2^-1

1

Answer:

3rd answer

Step-by-step explanation:

they all need to be parallel so that the angles are congruent

Answer: A, C, D

Step-by-step explanation:

Answer:

800x40=32000

Step-by-step explanation:

Basically its 800 40 times.

Answer:

32,000

Step-by-step explanation:

First put 800 over 40

Second, multiply the 3rd zero by the first zero of 40

Multiply the 2nd zero by the same zero of 40

Multiply 8 by 4 and the result should be 800

Then you multiply 800 by 4.

0 x 4 is 0

0 x 4 is 0

8 x 4 is 32

(Make sure you add the zero from 40)

Put it together and you get 32,000

We will see that the change in momentum is P' - P = -17.6 kg*m/s, and the percentage of kinetic energy lost is 30.56%.

The momentum is given by the product between the mass and the speed.

So the original momentum is:

P = 0.32kg*30m/s = 9.6 kg*m/s

After the bounce, the new velocity is -25m/s, then the new momentum is:

P' = 0.32kg*-25 m/s = -8 kg*m/s

The change in momentum is:

P' - P = -8 kg*m/s - 9.6 kg*m/s = -17.6 kg*m/s

The kinetic energy is:

KE = (1/2)*M*v^2

The initial kinetic energy is:

KE = (1/2)*0.32kg*(30 m/s)^2 = 144 J

The final kinetic energy is:

KE =  (1/2)*0.32kg*(-25 m/s)^2 = 100 J

The percentage lost is:

P = 100%*(144 J - 100J)/(144 J) = 30.56%

If you want to learn more about the momentum, you can read:

https://brainly.com/question/7538238

Answer:  slope = [tex]\frac{6}{4}[/tex]

Step-by-step explanation:

To find the slope, choose two points. (0,0) and (4,6)

slope = (y2 - y1) / (x2 - x1) = (6 - 0) / (4 - 0) = 6 / 4

Answer:

Step-by-step explanation:

 *   *    *

let the middle digit is a letter.

as first and second letters are same so consider them as one letter.

It can be filled in 26 ways.

third place is filled in 10 ways (0,1,2,3,4,5,6,7,8,9)

total number of ways=26×10=260 ways

again consider second place is a digit.

so consider second and third place as one digit.

it can be filled in ways=10

first place can be filled in ways=26

Hence number of ways=26×10=260

so total number of ways=260+260=520

Answer:

the desired equation is y = x + 4.

Step-by-step explanation:

Slope is defined as m = rise over run.  Run is the change (usually an increase) in x, and rise an increase or decrease in y.

We see, in the table, that if x increases from 1 to 6 (a 'run' of 5), y increases from 5 to 10 (a 'rise' of 5).  Thus, it's immediately apparent that the slope is m = rise / run = 5 / 5, or just 1.

Using the slope-intercept form of the equation of a straight line, y = mx + b, and the point (1, 5), we calculate b:

5 = 1(1) + b, or b = 4.

Therefore the desired equation is y = x + 4.

Answer: 368 hours

Step-by-step explanation:

if hes working 23 hours every day, he will have worked 16x23 = 368 hours in 16 days

false bc one's an x and the other's a y.

Step-by-step explanation:

The answer is false. 2x and 2y are no like terms because they do not have the same variable

Answer:

wpowie

Step-by-step explanation:hhh

Step-by-step explanation:

after 3265 , 3266 will come

before 5631 , 5632 will come

ANSWER:

Segment TS is a Chord

If AR = 14 , then QS = 14 ×2 = 28

∆ATS is an Isosceles Triangle

HOPE THIS HELP YOU , FOR ANY QUESTION PLEASE ASK ME

Answer:

1 11/37 is the correct answer

Answer:x+y=14        .....(1)x−y=4         ......(2)On adding 1 and 2, we get,2x=18x=9Putting this value in equation 2, we get,9−y=4y=5Hence, x=9 and y=5.

Answer:

A.

I and II

is right answer

Answer:

20

Hope that helps!

Answer:

2

Step-by-step explanation:PEMDAS first multiply 2 and 7 you get 14 then add 1 that's 15 then add 10 that's 25 after that subtract 20 thats 5 then subtract 3 that's 2