Given:
The figures of triangles and their mid segments.
To find:
The values of n.
Solution:
Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.
9.
It is given that:
Length of mid-segment = 54
Length of parallel side = 3n
By using mid-segment theorem for the given triangle, we get
Divide both side by 3.
Hence, the value of n is equal to 36.
10.
It is given that:
Length of mid-segment = 4n+5
Length of parallel side = 74
By using mid-segment theorem for the given triangle, we get
Divide both side by 4.
Hence, the value of n is equal to 8.
The function represented by f(x) = (1/2)(3)ˣ is an exponential growth
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
The independent variable in the function f(c) = 2c + 9 is c whereas the dependent variable is f.
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The independent variable in the function f(c) = 2c + 9 is c whereas the dependent variable is f.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
If b > 1, it is an exponential growth but if b < 1, it is an exponential decay.
Given the function:
f(x) = (1/2)(3)ˣ
since 3 > 1, it is an exponential growth.
The function represented by f(x) = (1/2)(3)ˣ is an exponential growth
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I think the answers would be
four outcomes (bc four colors)
and
a 36% chance of grabbing a blue marble (4blue/11total)
Answer:
The literals are; a, b, and c
The constants are; c, and 3
The variables are; x, and y
Step-by-step explanation:
The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied
The given equation is a·x² + b·x + c - y + 3 = 0
The literals are;
'a', 'b', and 'c'
The constants are the values that remain the same always in an equation and does not change
The constants are;
'c', and '3'
The variables are the values that vary in relation to one another
The variables are;
'x', and 'y'
The minimum value of a function is the place where the graph has a vertex at its lowest point.
There are two methods for determining the minimum value of a quadratic equation. Each of them can be useful in determining the minimum.
(1) By plotting graph
We can find the minimum value visually by graphing the equation and finding the minimum point on the graph. The y-value of the vertex of the graph will be the minimum.
(2) By solving equation
The second way to find the minimum value comes when we have the equation y = ax² + bx + c.
If our equation is in the form y = ax^2 + bx + c, you can find the minimum by using the equation min = c - b²/4a.
The first step is to determine whether your equation gives a maximum or minimum. This can be done by looking at the x² term.
If this term is positive, the vertex point will be a minimum; if it is negative, the vertex will be a maximum.
After determining that we actually will have a minimum point, use the equation to find it.
