What is the slope of the line passing through (2,-1) and (1,2)
1 answer:
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James'age : 12, Kate's age : 7
<h3>Further Explanation </h3>One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
x, y = variable
In the statement of the task:
- James is two years younger than twice his sister Kate’s Age can be stated in the equation: James (J) = 2K (Kate) - 2 ⇒equation 1
- Together their ages add up to 19. The equation: J + K = 19 .... 2 ---> J = 19 - K ⇒equation 2
So the solution is:
Equation 2 is entered into equation 1 so that it becomes:
19-K = 2K-2
21 = 3K
K = 7
because J + K = 19, then the value of J = 19-7 = 12
<h3>Learn more</h3>the slope-intercept form of the linear equation
a graph of a linear equation
system of linear equations
Keywords : Age, variable, linear equation
<u>Given</u>:
Given that the figure is a triangular prism.
The length of the prism is 4 m.
The base of the triangle is 2.5 m.
The height of the triangle is 2.25 m.
We need to determine the volume of the triangular prism.
<u>Volume of the triangular prism:</u>
The volume of the triangular prism can be determined using the formula,
where b is the base of the triangle,
h is the height of the triangle and
l is the length of the prism.
Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;
Thus, the volume of the triangular prism is 11.25 m³