Answer:
When x=8, y=-6. When x=10, y=0
Step-by-step explanation:
You can plug the given y value into the second equation to get:
Hope this helps!
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1 answer:
Answer:
various angles can be formed when two parallel lines are cut by a transverse line. They are :
i. Alternate Angles
ii. Corresponding angles
iii. Co interior angles
Step-by-step explanation:
i. Alternate angles are equal. In the given figure x and y are alternate angles where x=y. Similarly, w and v are also alternate angles and they are also equal in magnitude.
ii. Corresponding angles are also equal. In the given figure, a and y are corresponding angles where a=y. Similarly, b and v, w and c, x and d are corresponding angles and they are equal in value.
iii. The sum of co-interior angles is 180 degrees. In the given figure, v and x are co-interior angles where x+v= 180 degrees. Similarly, w and y are also co-interior angles and their sum is also 180 degrees.
These are the angles formed when two parallel lines are cut by a transversal line. The figure is in the attachment. You can find it there.
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Answer:
Step-by-step explanation:
Given
Required
Solve
Using sine rule, we have:
This gives:
So, we have:
In radical forms, we have:
Take LCM
Rewrite as:
Hence:
Answer:
The distance from the shoreline from P the pipe from the island will reach land in order to minimize the total construction cost is 0 m, or the pipe should be routed to the point P
Step-by-step explanation:
We note that, cost to lay pipe in water = 2.3 × cost to lay pipe on land
Distance of the small resort on the island from point p on the shoreline = 3 miles
Location of the closest source of fresh water is 10 miles along the shoreline from p
∴ The small resort, the point p and the closest source of the fresh water on the shoreline together form a right triangle with sides
Height = 3 miles
Base = 10 miles and
Hypotenuse =
To find the cost of laying the pipeline by the various route, we multiply the water routes by 2.3 and the land routes by 1 and we get
Costs:
Height = Water route = 2.3 × 3 miles = 6.9
Base = Land route = 1 × 10 miles = 10
Hypotenuse = Water route = 2.3 × 10.44 miles = 24.012
Therefore, the two routes are either
10 miles to point p and 3 miles across the water to the resort with a cost = 10 + 6.9 = 16.9 or
Directly to the small resort through 10.44 miles across the water with cost = 24.012
Therefore, to minimize cost, the pipe should come from the resort to P from there to the fresh water source.
That is the distance from the shoreline from P the pipe from the island will reach land in order to minimize the total construction cost = 0 m.