Answer:
-40
-6
51
Step-by-step explanation:
-33+-7 you are adding two negatives
9+(-15) you are adding a negative to a positive which gets you closer to zero
5-(-46) you are subtracting a negative which is adding
Answer:
15 units.
Step-by-step explanation:
The distance between the points (x1, y1) and (x2, y2) is
√(x1-y1)^2 + (y1-y2)^2))
So here it is:
√(10- -2)^2 + (6- -3)^2)
= √(144+81)
= √225
= 15.
Answer:
1) x < 1, x > 9
2) 2 < x ≤ 6, -4 ≤ x < 0
Step-by-step explanation:
1) lx - 5l > 4
x - 5 = 4
x = 9
-(x - 5) = 4
x = -4 + 5 = 1
x < 1, x > 9
3) 1 < lx-1l ≤ 5
1 < x-1 ≤ 5
2 < x ≤ 6
1 < -(x-1) ≤ 5
-5 ≤ x-1 < -1
-4 ≤ x < 0
Potential Energy of an object of 5kg which is 6 meters in height is 294 Joules.
Step-by-step explanation:
We are given:
Mass = m = 5 kg
Height = h= 6 meters
Potential Energy = ?
The formula used to find Potential Energy is:

where m is mass, g is gravitational field and h is height
Putting the given values of mass and height, and g=9.8 m/s^2

So, Potential Energy of an object of 5kg which is 6 meters in height is 294 Joules.
Keywords: Potential Energy
Learn more about Potential Energy at:
#learnwithBrainly
<u>Answer:</u>
y = 5x (x+2)
<u>Step-by-step explanation:</u>
We are given the following the quadratic function and we are to rewrite it in intercept or factored form:

We can factorize the given expression so taking the common factors out of it to get:


Therefore, the factored form of the given quadratic function is y = 5x (x+2).