Diego has a skateboard, scooter, bike, and go-cart. He wants to know which vehicle is the fastest. A friend records how far Diego travels on each vehicle in 5 seconds. For each vehicle, Diego travels as fast as he can along a straight, level path.

Answer:

l: 1

k: 2

Step-by-step explanation:

The slope of a line is "the amount it goes up divided by the amount it goes right".

So if you pick a point on the line, and then step one grid position to the right, how much does it go up (or down, then you have a negative slope)?

In line l, it goes up one grid position for every step to the right, hence the slope is 1.

In line k, it goes up two positions for every step to the right, hence the slope there is 2.

Hope this explains it.

The equation of the line is [tex]y=8[/tex]

To get the required equation, use the general form of the equation of a line having a gradient [tex]m[/tex], and passing through a point [tex](x_0,y_0)[/tex]

[tex]y-y_0=m(x-x_0)[/tex]

For our problem, the line has [tex]0[/tex] gradient, and passes through the point [tex](4,8)[/tex]

substituting the required values, we have

[tex]y-y_0=m(x-x_0)\\y-8=0(x-4)\\y-8=0\\y=8[/tex]

The required equation is [tex]y=8[/tex]

Learn more here: https://brainly.com/question/1690609

Answer:

52

Step-by-step explanation:

Answer:

I believe it's 56

Hope this helps

Answer:

I Believe the answer is (3x,-6y)

Step-by-step explanation:

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y) , I hope this helps.

Answer:

I Believe the answer is (3x,-6y)

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y).

[tex]\left \{ {{4x - 4y = -12} \atop {x + 4y = -18}} \right. <=>\left \{ {{5x=-30} \atop {x + 4y = -18} \right. <=> \left \{ {x=-6} \atop {y=-3} \right.[/tex]

ok done. Thank to me :>

Answer:

equation : P(x) = 5x+60

Table :

If x (levi sells this many computers)

then y (levi makes this much money)

x : 0 ; 1 ; 2 ; 3 ; 4 ; 5 so on...

y : 60 ; 65 ; 70 ; 75 ; 80 ; 85 so on...

Step-by-step explanation:

This equation can be modeled by P(x) = 5x+60

P= levi's total pay

x = number of computers sold

This equation can be input into a graphing calculator to find a table of the corresponding x and y values for this equation. To solve without using a calculator, plug in a certain value for x in the equation and solve for y to get its corresponding value.

Answer:

there are lots of ways. some of them are

1625/2, 3250/2, 4875/3........

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

[tex]T = (1, 8)[/tex]

[tex]E =(3, 8)[/tex]

[tex]X =(6, 2)[/tex]

[tex]A=(3, 2)[/tex]

[tex]S = (1, 4)[/tex]

The area of the pentagon is then calculated using:

[tex]Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|[/tex]

So, we have:

[tex]Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|[/tex]

Simplify the expressions in both brackets

[tex]Area = \frac 12|46 -84|[/tex]

[tex]Area = \frac 12|-38|[/tex]

Remove absolute bracket

[tex]Area = \frac 12 \times 38[/tex]

[tex]Area = 19[/tex]

Hence, the area of the pentagon is 19 square units

Read more about areas at:

https://brainly.com/question/1423568

Answer:

Assuming the 2 in 3x2 is an exponent, then it is binomial.

Step-by-step explanation:

A binomial is an expression with two terms, in this case those two terms are 3x^2 and 5

Answer:

2.binomial

Step-by-step explanation:

3x2=1

5=2

so its a binomial

Step-by-step explanation:

x⁴ + 4x³ - 5x² + x - 3 ÷ x² + x - 3 = x² + 3x - 5

- x⁴ + x³ - 3x²

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

0 3x³ - 2x² + x - 3

- 3x³ + 3x² - 9x

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

0 - 5x² + 10x - 3

- - 5x² - 5x + 15

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

0 15x - 18

the result is therefore

x² + 3x - 5 + (15x - 18)/(x² + x - 3)

Answer:

Isosceles triangle.

Step-by-step explanation:

Answer:5

Step-by-step explanation:

Answer:

need to know the dimentions of the room

Step-by-step explanation:

Answer:

Between 3 and 4 hours

Step-by-step explanation:

Let's turn the sentence into an equation, suppose that both trucks will be traveling at a constant rate, let x be the number of hours truck A has been traveling, and let y be the number of hours truck B has been traveling. Then we can set up the equation:

[tex]45x+60y=360[/tex]

Both of these terms must add up to 360 since that will be the point where both trucks will meet. To solve this, we can use a graphing calculator:

(see picture)

Since both trucks left the warehouses at the same time, we need that:  [tex]x=y[/tex]

And the point in the graph that x=y is around 3.42 and 3.44, so we can conclude that both trucks must be traveling for 3-4 hours for them to meet on the road.

I hope this helps.

Answer:

longitudinal

Step-by-step explanation:

[tex](9x - 12) - (5x - 7)\\\\=9x-12-5x+7\\\\=4x-5[/tex]

Answer:

116−−√

110−−√

14√

18√

Step-by-step explanation:

Answer:

most models of scientific calculators in degree mode, all you have to do is press "Mode" and then look at the numbers on the screen beside the menu items. Locate the number beside "Deg" or "Degrees" and press it to change the mode of your calculator

Step-by-step explanation:

B. -16 + (-7) ...this is the same as -16-7

Answer:

Percentage decrease calculator will show the difference and the percent decrease from one quantity to another.

Step-by-step explanation:

Answer:

y = 1.5x + 5.5

Step-by-step explanation:

None of them are correct. The correct answer, y = 1.5x + 5.5, is not listed.

Answer:

$2.38

Step-by-step explanation:

Proportions:

2.5 kg ⇔ $1.40

4.25 kg ⇔ $P

P = 4.25kg * $1.40 / 2.5kg

P = $2.38

Answer:

First one ( top left)

This has an open circle at y = 3 which means the 3 is not included.

Then the y value of the second line equals the x value.

Answer:

2(3×2)+2(3×1.5)+2(1.5×3)

Step-by-step explanation:

12+9+9

30

Answer:

30cm square

Step-by-step explanation:

2(3×2)+2(3×1.5)+2(1.5×3)

2[3×2+3×1.5+1.5×3]

2(6+4.5+4.5)

2×15

30

Answer:

24%

Step-by-step explanation:

consider bag 1: there are 3 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 3/5

bag 2: there are 2 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 2/5

to find the probability of getting two vowel tiles (one from each bag), you multiply these two probabilities together:

3/5 *2/5 to get 6/25 which is equal to 0.24 or 24%

Answer:

10

x

2

−

x

−

16

re written: 10x2−x−16

Step-by-step explanation:

Answer:

The simplified answer is [tex]10x^2-x-16[/tex]

Step-by-step explanation:

[tex]2x+6x^2-10+4x^2-3x-6[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]Combine[/tex] [tex]Like[/tex] [tex]Terms:[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]=(6x^2+4x^2)+(2x+-3x)+(-10+-6)[/tex]

[tex]= 10x^2+-x+-16[/tex]

As a final result, the answer is [tex]10x^2+-x+-16[/tex].

Therefore, [tex]10x^2+-x+-16[/tex] is the answer.

Hope this helps!  

Have a nice day/night/afternoon.  

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i.e

[tex]\\ \sf{:}\Rrightarrow y+5=-1+5=4[/tex]

New co-ordinates are

Answer:

(0,-1),(2,5)

Step-by-step explanation:

3x-y=1

0.5[tex]x^{2}[/tex]+2x-1=y

Substitute the equation of y into the other equation

3x-(0.5[tex]x^{2}[/tex]+2x-1)=1

3x-0.5[tex]x^{2}[/tex]-2x+1=1

collect like terms

-0.5[tex]x^{2}[/tex]+x=0

Solve for x

x(-0.5x+1)=0

0=-0.5x+1

-1=-0.5x

x=2 x=0

Back substitute into the other original equation and solve for y

3(2)-y=1

6-y=1

y=5

(2,5)

3(0)-y=1

-1(-y)=-1(1)

y=-1

(0,-1)