Answer:
3.8m
Step-by-step explanation:
Since Lara is putting lace trim around the border of a circular tablecloth, by the time she finishes she has covered the circumference.
The circumference of a circle is calculated using:
where d is the diameter of the circle.
It was given that the diameter of the circular table cloth is 1.2 meters.
Therefore the length of the lace she needed is 3.8m
Answer:
Step-by-step explanation:
The slope-intercept form is y = mx + b, where:
m = slope
b = y-intercept.
The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope . So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, <em>b</em>). So, it becomes (0, -9).
Now that we have our slope (<em>m </em>) = 1/5, and the y-intercept (<em>b </em>) = -9, we can write the equation of the line as:
(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).
Please mark my answers as the Brainliest if you find my explanations helpful :)
Answer:
The point of intersection of the system of equations is:
(x, y) = (-2, 1)
The correct system of equations intersect at point A in this graph will be:
Thus, the second option is correct.
Step-by-step explanation:
Given the point
Let us check the system of equations to determine whether it intersect at point A in this graph.
Given the system of equations
Arrange equation variable for elimination
so
so the system of equations becomes
Solve 7x = -14 for x
Divide both sides by 7
Simplify
For y - 4x = 9 plug in x = 2
Subtract 8 from both sides
Simplify
y = 1
Thus, the solution to the system of equations is:
(x, y) = (-2, 1)
From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.
In other words, the point of intersection of the system of equations is:
(x, y) = (-2, 1)
Therefore, the correct system of equations intersect at point A in this graph will be:
Thus, the second option is correct.
