What is the area of the triangle below? Please explain too.
1 answer:
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Answer:
- see attached for a graph
- solution: (x, y) = (-1, 3)
Step-by-step explanation:
The first line has a slope of -3 and a y-intercept of 0. It will go through the origin and the point (-1, 3).
The second line has a slope of 1 and a y-intercept of 4. It will go through the points (0, 4) and (-4, 0).
The solution to the system of equations is the point where the lines cross, (-1, 3).
Answer:
7.71 inches far from each edge of the wall you should place the shelf.
Step-by-step explanation:
Given:
Let,
AB = distance between the edges or distance of wall.
ED = size of the shelf.
C is the centre of the wall.
To Find:
Distance from the edge of the wall to the shelf, when the shell is placed at the center of the wall.
AE = DB = ?
Solution:
As we need to place the shelf exactly in the center.
First we will calculate the distance from the center of the wall to the edge.
So the distance from the centre of the wall to the edge will be exactly half of the size of the wall.
now the distance from the centre to the end of the shelf will be exactly half of the size of the shelf.
Now we want to calculate the distance from the edge of the wall to the shelf,that is the distance from the end of the shelf to the edge of the wall.
Therefore, 7.71 inches far from each edge of the wall you should place the shelf.
Answer:
$2.50
Step-by-step explanation:
Let the original monthly expenses be 'x'.
Given:
Reduced monthly expenses = $2.125
Reduction in monthly expenses = 15%
Therefore, remaining percentage of monthly expenses = 100 - 15 = 85%
Now, as per question:
Therefore, the original monthly expenses of Mr. Wood was $2.50.
Also, we can find his monthly income using the value of 'x'.
As per question, his monthly expenses is 80% of his income.
So, 80% of income = 2.5
Income =
So, his monthly income is $ 3.125