Answer:
y = -3/2 x + 3
Step-by-step explanation:
If two lines' slopes multiply to get -1, they are perpendicular to each other.
In -6x+9y-12=0, find the slope by converting to slope-intercept form.
Isolate y:
-6x+9y-12=0
-6x+9y = 12
9y = 6x + 12
y = 6/9 x + 12/9
y = 2/3 x + 4/3
The slope in this line is 2/3.
To find the slope of a perpendicular line, find its negative reciprocal. The negative reciprocal is when you switch the top and bottoms numbers and multiply it by -1.
2/3 => -3/2
The slope of the perpendicular line is -3/2.
In -8x+2y-6=0, find the y-intercept by converting to slope-intercept form.
Isolate y:
-8x+2y-6=0
-8x + 2y = 6
2y = 8x + 6
y = 8/4 x + 6/2
y = 2x + 3
Slope-intercept form is y = mx + b, which b is the y-intercept.
The y-intercept is 3.
Substitute the slope and y-intercept values into the equation of a line in slope-intercept form.
y = mx + b
y = -3/2 x + 3
Answer:
10,300.77 cm³
Step-by-step explanation:
Radius = ½(diameter)
Diagonal:
sqrt[243 + 243]
sqrt(486)
Diameter
sqrt(486 + 243)
27
Radius: 27/2
Volume of sphere:
4/3 × pi × r³
4/3 × 3.14 × (27/2)³
10300.77 cm³
A parabola, a graph of a quadratic function, cannot have a maximum vertex and a minimum vertex at the same time because of the shape of the graph. A parabola is a u-shaped graph. The vertex of the parabola is the point where the u changes direction; if it was increasing, it starts to decrease, and if it was decreasing, it starts to increase. Since a parabola only changes direction once, there will either be a minimum or a maximum, not both.
Answer:
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