Answer:
3x+3y−z−7
Step-by-step explanation:
"Let's simplify step-by-step.
4x+2y−z−(x−y+7)
Distribute the Negative Sign:
=4x+2y−z+−1(x−y+7)
=4x+2y+−z+−1x+−1(−y)+(−1)(7)
=4x+2y+−z+−x+y+−7
Combine Like Terms:
=4x+2y+−z+−x+y+−7
=(4x+−x)+(2y+y)+(−z)+(−7)"(Mathpapa)
Answer:
y=2x-6
Step-by-step explanation:
Parallel functions are functions with the same slopes but are in different positions on the coordinate plane (for this case it means that they have different y- intercepts)
So this means that the function will have a slope of 2
To find the equation we must plug in the value (1, -4) and find the new y-intercept(c)
(-4)= 2(1)+c
-4-2=c
-6=c
This means that the parallel function that goes through the point (1,-4) is
y=2x-6
Answer:
23n +13
Step-by-step explanation:
5(5n+2)+(3-2n)
Distribute
25n + 10 +3 -2n
Combine like terms
25n -2n + 10+3
23n +13
Answer:
y = 10°
x = 64°
Step-by-step explanation:
Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.
For the figure to be a parallelograms, since opposite angle are equal
12y + 8 = 2x
2x - 12y = 8 ...................(i)
2x + 5y + 2 = 180(supplementary angle)
2x + 5y = 178..............(ii)
combine the equation
2x - 12y = 8 ...................(i)
2x + 5y = 178..............(ii)
make x subject of the formula in equation (i)
2x - 12y = 8 ...................(i)
2x = 8 + 12y
x = 4 + 6y
put the value of x in equation (ii)
2x + 5y = 178..............(ii)
2(4 + 6y) + 5y = 178
8 + 12y + 5y = 178
8 + 17y = 178
17y = 170
divide both sides by 17
y = 170/17
y = 10°
Put the value of y in equation (i)
2x - 12y = 8 ...................(i)
2x - 12(10) = 8
2x - 120 = 8
2x = 128
x = 128/2
x = 64°
Answer: 1.4 seconds
<u>Step-by-step explanation:</u>
The equation is: h(t) = at² + v₀t + h₀ where
- a is the acceleration (in this case it is gravity)
- v₀ is the initial velocity
- h₀ is the initial height
Given:
- a = -9.81 (if it wasn't given in your textbook, you can look it up)
- v₀ = 12
- h₀ = 3
Since we are trying to find out when it lands on the ground, h(t) = 0
EQUATION: 0 = 9.81t² + 12t + 3
Use the quadratic equation to find the x-intercepts
a=-9.81, b=12, c=3

Note: Negative time (-0.2) is not valid