So you have 10 marbles all together. you remove one and dont replace it. it will be 3/9 which simplifies to 1/3.
Answer:
In this equation X is independent variable while Y is dependent variable.
Step-by-step explanation:
Equation:
Y=10x+100
Independent variable in math:
A variable in an equation that may have its value freely chosen without considering values of any other variable.
Dependent variable in math:
A dependent variable is a variable in an expression, equation, or function that has its value determined by the choice of value of other variable.
<u>According to above definitions Y is dependent of x. As we changes the value of x the value of Y changes.</u>
For example if x = 1, Y will be 110.
And if x = 10, Y will be 200.
Answer:
width = 7 and length = 9
Step-by-step explanation:
Let's assume width = w, and length = 2 + w
So area of a rectangle = width * length
63 ft² = w (2 + w)
63 = 2w + w²
w² + 2w - 63 = 0
Use the quadratic formula to solve this
here, a = 1, b = 2 and c = -63
w = 7 or -9
The dimensions of a rectangle cannot be negative. So we take the dimension, w = 7.
Width = 7 and Length = 7+2 = 9
Answer:
y= -(1/3)x -r
Step-by-step explanation:
a perpendicular line has the slope of the line that it's perpendicular but its the negative reciprocal of it. So for ex: line 1 = 2x then the line perpendicular to it is -1/2x.
In this case, the slope is 3x. The line perpendicular to it therefore, should be -1/3x.
The problem states the line has the same y-intercept so it has to still be -r.
So the equation of the line perpendicular to y=3x-r with the same y-intercept is y=-(1/3)x -r
Step-by-step explanation:
V= π*r²*h
V/π = r²*h
v/(π*r²) = h
= 5
x+y = 15
x = 15-y
