Answer:
125 cm^3
Step-by-step explanation:
To calculate this volume, we make use of the formula for calculating the volume of a cube.
Mathematically, this is equal to L^3 where L is the length of a side of the cube.
plugging the value of 5 into the equation, the volume will be 5 * 5 * 5 = 125 cm^3
Answer:
- 9
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term)² to x² - 10x
g(x) = x² - 10x + (- 5)² - (- 5)² + 16
= x² - 10x + 25 - 25 + 16
= (x - 5)² - 9 ← in vertex form
vertex = (5, - 9), hence
minimum value = - 9
Answer:
Step-by-step explanation:
In Right Triangle JKL, with Right angle at K
Opposite =|KL|
Hypotenuse=|JL|
Therefore, sin J as a ratio of side lengths is:
Answer:
y = (3/2)x - 12
Step-by-step explanation:
Recall that the general equation for a linear function may be written in slope-intercept form:
y = mx + b
where m = slope and b = y-intercept
In this case, it is given that slope = m = 3/2 and y-intercept = b = -12
substituting these values into the general equation:
y = (3/2)x + (-12)
or
y = (3/2)x - 12
