What is the PE of a 10 kg box that drops 10 meters?

Answers

Answer 1
Answer: Change of PE over a height of 10m = M G H = (10) (9.8) (10) = 980 joules.

When the box hits the bottom, it has 980 joules less PE than it had
before it started dropping. 

(As well as 980 joules more kinetic energy.)
Answer 2
Answer: P.E = mgh                           
M= MASS
G= ACCELERATION DUE TO GRAVITY
H = HEIGHT
P.E= 10 * 10 * 10
P.E = 1000J

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A person is 5 feet tall is standing 132 feet from the base of the tree , and tree casts a 143 foot shadow. The persons shadow is 11 feet in length. What is the height?

Answers

the height of the tree is 65 feet.
I did not understand what is the question

Solve this system of linear equations. Separatethe x- and y-values with a comma.
8x = -46 - 2y
7x = -59 + 2y

Answers

Answer:

x = -7, y =5

Step-by-step explanation:

8x = -46 - 2y

7x = -59 + 2y

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

Add the two equations together to eliminate y

8x = -46 - 2y

7x = -59 + 2y

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

15x =-105

Divide each side by 15

15x/15 = -105/15

x =-7

Now solve for y

7x = -59+2y

7(-7) = -59+2y

-49 = -59+2y

Add 59 to each isde

-49+59 = 2y

10 = 2y

Divide each side by 2

10/2 = 2y/2

5 =y

Answer:

(-7,5)

Step-by-step explanation:

8x = -46 - 2y

2y = -46 - 8x

7x = -59 + 2y

7x = -59 - 46 - 8x

15x = -105

x = -7

2y = -46 - 8(-7) = 10

y = 5

Four different sets of objects contain 2, 5, 6, and 7 objects, respectively. How many unique combinations can be formed by picking one object from each set?

Answers

The correct answer for the question that is being presented above is this one: "A. 960."Four different sets of objects contain 2, 5, 6, and 7 objects, respectively. 

= 2 * 5 * 6 * 7
= 960

Here are the following choices:
A. 960 
B. 141 
C. 23 
D. 529

Answer: 420

Step-by-step explanation:

2*5*6*7 = 420

PLEASE HELP! GEOMETRY. The circle design is based on twelve equally spaced points placed around the circumference of the circle. As the group lays out the design, the measure of angle GAH is ____ degrees, to the nearest degree.

Answers

I hope this helps you

What is the slope of any line parallel to the line 2x −3y = 7?

Answers

Slope means which represents the steepness of a line and the slope of any line parallel to the line 2x-3y=7 is (2)/(3).

What is the slope of the line?

The slope is used to describe the steepness and direction of lines.

Here the given lines are

2x-3y=7

Rearrange the equation into the form  y=mx+c  where m is the slope and c is the y-intercept.

y=mx+c\n-3y=-2x+7\n-(-3y)=-(-2x+7)\n3y=2x-7\ny=(2x)/(3)-(7)/(3)

The slope of the equation is

m=(2)/(3)

Hence, the slope of any line parallel to the line 2x-3y=7 is (2)/(3).

To know  more about slope

#SPJ2

the slope of paralel lines are the same.

therefore to find the slope of a paralel line to 2x −3y = 7, you need to find the slope of this line :)

to do that, we just need to change this into the line equation format, which is y = mx + b (y is the y point, x is the x point, m is the slope, and b is the y intercept)

2x - 3y = 7

7 = 2x - 3y

7+ 3y = 2x

3y = 2x - 7

y = (2/3)x - (7/3)

so the slope is 2/3

any paralel line will have an equation of y = (2/3)x + b

Please solve the equation
X^2+3x+3=0

Answers

x² + 3x + 3 = 0

I can tell by looking that there's no easy way to factor the left side,
so we'll have to use the Quadratic formula.

Before doing that, let's just take a look at the discriminant:

( B² - 4AC ) = (9) - (4 x 3 x 1) = (9 - 12) = -3 .
The discriminant is negative, so we know that the roots will be complex conjugates.

Again:  x² + 3x + 3 = 0

x = (1/2) [ -3 plus or minus the square root of (-3) ]

x = -3/2 + (1/2) j√3
and
x = - 3/2 - (1/2) j√3