Answer:
x^8
Step-by-step explanation:
Answer:
-7 < -5
Step-by-step explanation:
-5 is greater than -7
Answer:
0
Step-by-step explanation:
7x + -2z = 4 + -1xy
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'xy' to each side of the equation.
7x + xy + -2z = 4 + -1xy + xy
Combine like terms: -1xy + xy = 0
7x + xy + -2z = 4 + 0
7x + xy + -2z = 4
Add '2z' to each side of the equation.
7x + xy + -2z + 2z = 4 + 2z
Combine like terms: -2z + 2z = 0
7x + xy + 0 = 4 + 2z
7x + xy = 4 + 2z
Reorder the terms:
-4 + 7x + xy + -2z = 4 + 2z + -4 + -2z
Reorder the terms:
-4 + 7x + xy + -2z = 4 + -4 + 2z + -2z
Combine like terms: 4 + -4 = 0
-4 + 7x + xy + -2z = 0 + 2z + -2z
-4 + 7x + xy + -2z = 2z + -2z
Combine like terms: 2z + -2z = 0
-4 + 7x + xy + -2z = 0
The equation of parabola is y = 3x²- 12x+ 15.
<u>Step-by-step explanation:</u>
The equation of the parabola is given as y = x².
If it has a vertex then the equation can be written as,
y = a(x-h)² + k
where (h, k ) is the vertex and a is the stretching or compressing factor.
So here the vertex is (2,3) and it is vertically stretched by 3.
So the equation is given as,
y = 3(x-2)² + 3
y = 3(x² -4x+4) + 3
= 3x² - 12x + 12 + 3
y = 3x²- 12x+ 15 is the equation of the parabola.
Answer:
259.6 ft/sec
Step-by-step explanation:
it is a universal standard that acceleration due to gravity is 32ft/sec^2.
Now it can be verified by equation,
V(f) = V(i)+at (1st equation of motion derived by Newton's three laws of motion)
where,
V(f) is final velocity
V(i) is initial velocity
a is acceleration which is constant and have value 32ft/sec^2
t is time which is given as 7.8 seconds
In the given case, initial velocity that is V(i) will be 0ft/sec. Because, on dropping, object will start to move under the influence of gravity from zero speed.
So,
V(f) = 0 +(32) (7.8)
V(f) = 249.6 ft/sec
Now the condition is given that you have to add a constant 10 to the answer.
so, V(f) = 249.6 + 10
V(f) = 259.6 ft/sec
