Answer:
the solution is (-4, -3)
Step-by-step explanation:
Multiply the first equation by 2. This produces 4x + 2y = -14.
Now combine this result with the second equation:
4x + 2y = -14
-3x - 2y = 10
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x = -4
Subbing -4 for x in the first equation yields 2x - 4 = -7, or 2x = -3.
Then x = -3/2, and the solution is (-4, -3)
Answer:
8/13
Step-by-step explanation:
There are total 26 red cards in the deck of 52 cards.
There are also 12 face cards in the deck ( which is 6 of them are red, while 6 of them are black)
Since we only need either one of them, 26 + 6 = 32
The probability of drawn a card that either red or a face card is 32/52
The simplest form of this fraction is 8/13.
Answer:
245 tiles
Step-by-step explanation:
1 meter = 100 cm
Area of bathroom = 3.5m x 2.8m = 350x280 = 9800 cm²
Area of each tile = 20cm x 20cm = 400 cm²
Total number of tiles required = 9800/400 = 245
<u>Note</u>
Strictly speaking we have to find out how many tiles can be fitted in the length and breadth of the bathroom. Since the bathroom is 350 cm wide, we can fit 350/20cm = 17.5 tiles. However, there is no concept of 1/2 tile so the question has an ambiguity. along the width, we can fit 280/10 = 14 tiles
17.5 x 14 = 245 but if the question is reworded to how many tiles do we need to purchase to floor the bathroom it would be 18 x 14 = 252
Answer:
- square: 9 square units
- triangle: 24 square units
Step-by-step explanation:
Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.
<h3>Square</h3>
The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.
For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.
The area of the square is 9 square units.
<h3>Triangle</h3>
The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.
The area of the triangle is 24 square units.
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<em>Additional comment</em>
We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.
Answer:
r
Step-by-step explanation:
we know this because it is the only part of the graph that is moving downwards, meaning its decreasing. P is an example of increasing, Q is 'neutral' and s is also increasing.
