Let’s give these two numbers variables
Let ‘a’ be the larger number
Let ‘b’ be the smaller number
Now from the question we know:
a + b = 30 or a = 30 - b
2a - 3b = 5
Now, let’s plug the first equation into the second to find ‘b’:
2(30 - b) - 3b = 5
60 - 2b - 3b = 5
60 - 5b = 5
55 = 5b
b = 11
Now we solve for ‘a’:
a = 30 - b
a = 30 - 11
a = 19
Now the question asks for the positive difference between the two numbers, so:
a - b = ?
19 - 11 = 8
Hope this helps!
Answer: Second option.
Step-by-step explanation:
Given the folllowing Linear Equation:
You need to substitute the coordinates of each point given in the options into the equation and then evaluate.
1) Substituting into the equation, you get:
2) Substituting the point . you get:
3) Apply the same procedure using the point :
4) Apply the same procedure using the point
5) Substituting into the equation:
Therefore, the point is not on the given line.
Answer:
Step-by-step explanation:
The question is to find the equation of the line going through the points (3,-1) and has a slope of -1.
First, the equation of a line is given as:
Equation = y = mx + b
Where
m is the slope
b is the y-intercept (y-axis cutting point)
We know the slope, so the equation becomes:
y = mx + b
y = -1x + b
y = -x + b
Now the point given is in the form (x,y), so
x = 3
y = -1
We substitute and find b:
y = -x + b
-1 = -3 + b
-1 + 3 = b
b = 2
Final Equation:
y = -x + 2
Answer:
Rectangle
Step-by-step explanation:
Given the points :
(0, 8), (5,2), (0, 2), and (5, 8).
Based on the vertices given :
If we mark the points on a graph and then join the points, we'll Obtain a rectangle ; this is because the length and with are not equal, with a length of 6 unit and width of 5 unit
Attached below is a rough sketch if the plot created in a notebook.