A Formula for calculating displacement (distance from a point) is -

[tex]s = ut + \frac{1}{2} {at}^{2} [/tex]
A) Calculate u when s = 120, a = 2 and t = 4​

Answer:

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                              y - y₁ = m(x - x₁)

m = ¹/₃

(-2, 8)    ⇒   x₁ = -2,  y₁ = 8

Therefore,  the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:

y - 8 = ¹/₃(x - (-2))

y - 8 = ¹/₃x + ²/₃                   {multiply both sides by 3}

3y - 24 = x + 2                    {subtract x from both sides}

-x + 3y - 24 = 2                     {add 24 to both sides}

-x + 3y = 26

Answer:

4

Step-by-step explanation:

1 ÷ 0.25 = 4

Answer:

The answer is below

Step-by-step explanation:

The distance between the upper left coordinate and the upper right coordinate is the length of the rectangle. Hence:

[tex]length=\sqrt{(4-(-1))^2+(7-7)^2} =5\ units\\[/tex]

Area = length * breadth

20 = 5 * breadth

breadth = 4 units

The bottom left coordinate would have the same x coordinate as the upper left coordinate. Hence, bottom left coordinate = (-1, y₁)

The distance between the upper left coordinate and the bottom left coordinate is the breadth of the rectangle. Hence:

[tex]breadth=\sqrt{(-1-(-1))^2+(y_1-7)^2} =4\ units\\\\ y_1-7=\pm 4\\\\y_1=4+7=11\ \ or\ y_1=-4+7=3[/tex]

Since it is at the bottom, hence y₁ = 3. Hence bottom left coordinate = (-1, 3)

Bottom right coordinate has same y coordinate as bottom left coordinate and same x coordinate as upper right. Hence bottom right coordinate = (4, 3)

Answer:

um.... 17??????????????????

Answer:

HDHEHFGEWGDYDGYDHWQFSWDWSQWYUWEHWW8WDWD

Step-by-step explanation:BHDHEJKNHRGHRFYRHDHNHNEBFDYHFBVUUUFHECHFHVYGDFRFHRHFFRUFYYRFFRYFYFYRFREYRYFGFWYBGT

Answer:

6/10

Step-by-step explanation:

Answer:

It is B 8/10

Step-by-step explanation:

Answer: 5 min

Step-by-step explanation:

Given

Length of the race track [tex]l=1\ km\ or\ 1000\ m[/tex]

Suppose the speed of Yohanne is [tex]v_y=x\ m/min.[/tex]

then  Mikaela speed is [tex]v_m=50+x[/tex]

the difference in the finishing time is 1 minute i.e.

[tex]\Rightarrow \dfrac{1000}{x}-\dfrac{1000}{50+x}=1\\\\\Rightarrow \dfrac{50+x-x}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow \dfrac{50}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow x^2+50x-50,000=0\\\\\Rightarrow x^2+250x-200x-50,000=0\\\\\Rightarrow (x+250)(x-200)=0\\\\\Rightarrow x=200\ m/min.[/tex]

Time taken by Yohanne is

[tex]\Rightarrow t=\frac{1000}{200}=5\ min[/tex]

Answer:

B

Step-by-step explanation:

is this answer

Answer:

There is no photo all I can say is to re ask this question so that we are able to see a photo.

Step-by-step explanation:

Answer: Part A : 4x-6 < 66

Part B : 15

Step-by-step explanation: I don't understand how to explain part A, but for part B, you subtract 66 by 6 to get 60. Then, divide 60 by 4 to get 15, the largest number you can have.

Answer:

No, it would be 72

Step-by-step explanation:

In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)

Pls give brainliest

Answer:

Step-by-step explanation:

Surface Area = 4πr²

Volume = 4/3 πr³

VOLUME

4/3 *6³ *π=

4/3 *216π

216/3 = 72*4 = 288π

SURFACE AREA

4*π*6²=

4*36π=

144π

Overall the answer should be C.

Answer:

y = 2x + 4

Step-by-step explanation:

You already know the slope, so now you need to find the y-intercept. You need to plug in the values of x and y into the equation, y = 2x + b.

y = 2x + b

2 = 2(-1) + b

2 = -2 + b

4 = b

Answer:

Step-by-step explanation:

Answer:

it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49

Step-by-step explanation:

The best describes the slope of the line is,

⇒ Undefined

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

A line is shown in graph.

Since, In the graph of line, we have;

A straights line is shown and the x - coordinates is same for each point of line.

Hence, By definition of slope,

Slope = undefined

Thus, The best describes the slope of the line is,

⇒ Undefined

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7

Answer:

y=-1/3x-6

Step-by-step explanation:

Perpendicular lines have slopes that are negative and reciprocal; if you multiply them together, the result is -1

so, to find the slope of the new line:

3m=-1

divide by 3

m=-1/3

the slope of the new line is -1/3

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept.

Here's our equation so far:

y=-1/3x+b

since the line passes through the point (9,-9), we can use it to solve for b

substitute into the equation:

-9=-1/3(9)+b

-9=-3+b

-6=b

b is -6

here's our equation

y=-1/3x-6

hope this helps! :D

Answer:

[tex]5 - 4x = - 7[/tex]

Step-by-step explanation:

Let the missing variable be x then yiu will get the answer above

Answer:

3

Step-by-step explanation:

5 - 4x = -7

add 4x to each side of the equation:

5 = 4x - 7

add 7 to each side:

12 = 4x

divide both sides by 4:

x = 3

proof:

5 = 4(3) - 7

5 = 12 - 7

5 = 5

Answer:

BC= 2√5

CD= 2√10

DE= 2√5

BE= 2√10

slope of BC = 2

slope of CD = 1/3

slope of DE = 2

slope of BE = 1/3

Step-by-step explanation:

formula for distance = √(x2-x1)²+(y2-y1)²

formula for slope = (y2-y1)/(x2-x1)

Answer: The square root of 6 is IRRATIONAL.

Answer:

True is 11/13 and -20 are rational

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since, both the triangles of the paperweight are congruent,

Their corresponding sides will be congruent.

3x + 2.5 = 4

3x = 4 - 2.5

x = 0.5

Similarly, 2y - 5 = 3x + y

2y - y = 3x + 5

y = 3x + 5

y = 3(0.5) + 5

y = 1.5 + 5

y = 6.5

Total length of the hypotenuse = 2y - 5

                                                    = 2(6.5) - 5

                                                    = 13 - 5

                                                    = 8

Option B is the answer.

Total length of the base = (3x + 2.5) + 4

                                        = 3x + 6.5

                                        = 3(0.5) + 6.5

                                        = 8

Option B is the answer.

Answer:

B-)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

If PQ || to BC

Then by BASIC PROPORTIONALITY THEOREM:

[tex] \frac{8}{40} = \frac{x}{45} \\ \\ \frac{1}{5} = \frac{x}{45} \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]

Answer:

The answer should be B

Answer:

Circumference of circle = 18π inches

Step-by-step explanation:

Given the following data;

Area of circle = 81π in²

To find the circumference;

First of all, we would find the radius of the circle using the area of circle formula.

Area of circle = πr²

Substituting into the formula, we have:

81π = πr²

Dividing both sides by π, we have;

81 = r²

Taking the square root of both sides, we have;

r = 9 inches

Now, to find the circumference of the circle;

Circumference of circle = 2πr

Circumference of circle = 2*π*9

Circumference of circle = 18π inches.

Answer:

210in^3

Step-by-step explanation:

Given data

Dimension

Length= 5in

Width= 6in

Height= 7in

The expression for the volume of a rectangle is given as

Volume= L*W*H

Substitute

Volume= 5*6*7

Volume= 210in^3

Answer:

2ft 8in

Step-by-step explanation:

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