Proportional constant
Answers
Answer:
The value of the proportionality constant (y to x) is: 3/10
Step-by-step explanation:
We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.
i.e. y = kx
and k = y/x
Given the points
- (100, 30)
- (300, 90)
- (500, 150)
We know that the proportionality constant (y to x) is:
k = y/x
For the point (100, 30)
k = 30/100=3/10
For the point (300, 90)
k = 90/300=3/10
For the point (500, 150)
k = 150/500=3/10
As the value of proportionality constant (y to x) is the same.
i.e. k = 3/10
Thus, the value of the proportionality constant (y to x) is: 3/10
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A rate is a ratio sometimes,always, or never true give an example
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Answer:
16 = n/12
Step-by-step explanation:
16 = n/12
Can you please explain with some details?
Answers
The solution of the given expression will be -3a - 4b + 8c.'
What is an expression?
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is (a + 2b + 3c) − (4a + 6b − 5c). The expression will be solved as below,
E = (a + 2b + 3 c) - (4a + 6b - 5c)
E = a + 2b + 3c - 4a - 6b + 5c =
E = -3a - 4b + 8c
Therefore, the expression will have the solution (a + 2b + 3c) − (4a + 6b − 5c).
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= a + 2b + 3c - 4a - 6b + 5c =
= -3a - 4b + 8c
half of the length of AB
double the length of DO
one-fourth the length of AC
equal to the length of AO
Answers
Answer
double the length of DO
Explanation
For a trapezium, two of the opposites are parallel. The diagonals act like a transverse to the two the pair of parallel lines.
This makes the two diagonals to have some properties.
In the diagram shown, if 2AO = CO, for the other diagonal 2DO = BO.
∴ the length of BO is double the length of DO.
Answers
The formula is V= πxr²xh
∴ V=πx15²x9
= 6361.725124
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Answer:
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Answers
If the equation of the line is written in slope-intercept form, y = mx + b, then the value of b is -21 and is denoted as option A.
What is Slope?
This is also referred to as the gradient of a line and measures its steepness and direction.
Slope = (y₂ - y₁) / (x₂ - x₁)
Parameters
J(-4, -5) and K(-6, 3)
= (3 - (-5)) / (-6 - (-4))
= (3 + 5) / (-6 + 4)
= 8 / -2
= -4
Substitute one of the coordinates into the formula to solve for b
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
b = - 21
Read more about Slope of a line here brainly.com/question/20848
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Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Now slap that slope into the formula and substitute on of the coordinates to the formula to solve for b (I'll take point K's coordinate):
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
- 21 = b
b = -21