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3 years ago

Which choice is the solution?

Mathematics

1 answer:

kifflom [539]3 years ago

8 0

The solution for your answer is 12

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A stone is thrown horizontally with an initial speed of 8 m/s from the edge of a cliff. a stop watch measures the stone's trajec

Tamiku [17]

Answer:

90.6m

Step-by-step explanation:

Initial speed = 8m/s

Time = 4.3 s

In studying the motion of an object, we often make use of kinematic equation

s = ut + 1/2at^2

v^2 = u^2 + 2as

a = (v - u) / t

v = final velocity

u = initial velocity

s = distance or height

t = time

a = acceleration due to gravity

Given time to hit the ground as 4.3s, we calculate the height by using

s = ut + 1/2at^2

Since the stone is moving against gravity, a is negative

u = 0

s = 0(4.3) +1/2(-9.8)(4.3)^2

s = -90.6m

The height of the cliff is 90.6m

7 0

3 years ago

(2x–y)²–(y+2)²-----------

lilavasa [31]

Answer:

4x² -4xy -4y -4

Step-by-step explanation:

$\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}$

In this case, a= 2x -y and b= y +2.

(2x -y)² -(y +2)²

= (2x -y +y +2)[2x -y -(y +2)]

= (2x +2)(2x -y -y -2)

= (2x +2)(2x -2y -2)

= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)

= 4x² -4xy -4x +4x -4y -4

= 4x² -4xy -4y -4

Alternatively, start by expanding the brackets.

$\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }$

$\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }$

(2x -y)² -(y +2)²

= 4x² -4xy +y² -(y² +4y +4)

= 4x² -4xy +y² -y² -4y -4 (expand)

= 4x² -4xy -4y -4 (simplify)

3 0

3 years ago

If f(x)=1/9x-2 what is f^-1(x)

Katarina [22]

Answer:

Uhh

Step-by-step explanation:

Jhbnhhnmjh

5 0

4 years ago

What is the value of this expression 4x^3y^2 when x=-1 and y=2

babunello [35]

The answer is -16. The picture is shown down below

6 0

3 years ago

Given the picture below, find x and both angles.

sashaice [31]

3x+2+x+8=180; 4x+10=180; 4x=170; x= 170/4= 42.5

Angle on top is x+8=42.5+8=50.8

Angle on the bottom is 3x+2=3•42.5+2= 129.5

7 0

3 years ago