|3.5| = 3.5

Any negative or positive number will always have an absolute value that is positive.

For example, | -3.5| = 3.5

3.5 can also be expressed a fraction.

3.5 * 2/2 = 7/2

8 0

2 years ago

Use the formula to find the slope of the line that passes through these two points. Show your work.

Dafna1 [17]

Answer:

Solution given:

$(x_1,y_1)=(1,2)$

$(x_2,y_2)=(7,7)$

now

slope: $\frac{y_2-y_1}{x_2-x_1}=\frac{7-2}{7-1}=\frac{5}{6}$

Slope: 5/6

6 0

2 years ago

Combine like terms 9-5=9x-6x

4vir4ik [10]

Answer:

4 = 3x

Step-by-step explanation:

9-5=9x-6x

Combine like terms

4 = 3x

We can solve for x

Divide by 3

4/3 = 3x/3

4/3 =x

7 0

2 years ago

We will now use energy considerations to find the speed of a falling object at impact. Artiom is on the roof replacing some shin

ohaa [14]

Answer:

v = 8.49 m/s rounded off to 3 significant figures

Step-by-step explanation

Using Energy Conservation

U = Tk + Vp (Sum of kinetic Tk Energy and gravitational potential Vp Energy)

At height = 3.67 m, the hammer was still or the velocity was negligible; hence, vi = 0 m/s.
Ui = 0 + mgh
At ground all potential energy is converted to kinetic; hence, Uf = $\frac{1}{2}$ mv².
Since total energy of the system remains constant we equate Ui to Uf.
Ui = Uf
mgh = $\frac{1}{2}$ mv²
After cancelling out masses and making v the subject of the formula we get:

v = $\sqrt[2]{2gh}$ = $\sqrt[2]{2*9.81*3.67}$ = 8.49 m/s rounded off to 3 significant figures

3 0

2 years ago