Answer:
A is (10,0)
B is (3, 3).
Step-by-step explanation:
First we calculate the coordinates of the point A.
Here, y = 0 so we have:
7(0) - 3x + 30 = 0
-3x + 30 = 0
x = -30/-3 = 10.
So A has coordinates (10,0).
Next we find the coordinates of the points where the line passes through the y axis. Here x = 0:
7x - 3(0) = 30
x = 30/7.
So the point is (0, 30/7).
Let the point B have coordinates (x1, y1)
Now x1 = y1 (given).
If we draw a line from B perpendicular to the x axis ( its length will be = y1) then we have 2 similar triangles.
So as corresponding sides are in the same ratio:
y1/ (30/7) = (10-x1) / 10
But as x1 = y1:
x1/ (30/7) = (10-x1) / 10
7 x1 / 30 = (10-x1) / 10
70 x1 = 30(10 - x1)
70x1 = 300 - 30 x1
100 x1 = 300
x1 = 3
So the coordinates of B are (3,3)
Checking the solution to the equation:
LHS = 3 / 30/7 = 3*7 / 30 = 21/30 = 7/10.
RHS = (10 -3 ) / 10 = 7/10.
Answer:
The distance is 5 square root of 5, or if it asks in decimal form it would be 11.180.
Step-by-step explanation:
To find the distance between any points, you must use the distance formula. When you plug in the points given, you end up with 11.180. I hope this helps!
The said triangle that is asked is a right triangle which has a proportion on each angle of 3 and 6. These proportions are the angles, which is 45, 45, and 90, which also means that the two rays of the triangle are the same and proved that ab= ac that makes the angle a is a 90 degree in value.
The economic term used to describe a period of sustained increase in the prices of goods and services is called inflation. Inflation is characterised mainly by a general increase in the prices of goods and services and a reduction in the currency's purchasing power. Hope this helps. Let me know if you need additional help!