Answer:
It is. Y=1/3x-3
Step-by-step explanation:
Answer:
x = 10 and x = 2
Step-by-step explanation:
x² - 6x + 20 = 6x
x² - 12x + 20 = 0
We should have values of p and q that multiply and give the answer as 20 and if added give -12.
=> p * q = -10 * -2 = 20
=> p + q = -10 + (-2) = -12
Therefore, we can factor it now:
(x - 10) (x - 2) = 0
We can say:
x - 10 = 0, and x - 2 = 0
=> x = 0 + 10, and x = 0 + 2
=> <u>x = 10 and x = 2</u>
Hope this helps!
If you are in college, this question is likely done with calculus.
a = 12
k = 0.2
v(x) = 0 at the maximum after differentiation
V(x) = kx(a - x)
The easiest way to do this is to remove the brackets.
V(x) = akx - kx^2 Substitute the constants
V(x) = 12*0.2*x - 0.2x^2
V(x)/dx = 2.4 - 0.4x = 0 at the maximum
2.4 - 0.4x = 0
0.4x = 2.4
x = 2.4/0.4
x = 6
If you don't know any calculus yet, you can do this by completing the square.
Answer:
h = 14 units
Step-by-step explanation:
Given:
Area of parallelogram = 84 units²
base length = 6
height = h
Required:
The missing height
SOLUTION:
Area of parallelogram = base × height
Plug in the values into the equation
Thus:
84 = 6 × h
84 = 6h
Divide both sides by 6
84/6 = 6h/6
14 = h
h = 14 units
I would need see what your choices are to give exact answers, but I think the main idea here is to see that angles 1 and 3 are the same, and since the alternate interior angle theorem states parallel lines through a line, or another set of parallel lines, form equal angles on those positions, the lines that form those angles, p and q, must be parallel.