Find the linear equation with the slope of - 1 / 2 and passing through the intersection of two lines 2x + 3y-3 = 0 and X-Y = 0

Find the linear equation with the slope of - 1 / 2 and passing through the intersection of two lines 2x + 3y-3 = 0 and X-Y = 0


The intersection point of two straight lines 2x + 3y-3 = 0 and X-Y = 0 is (3 / 5,3 / 5) (satisfying the above two equations at the same time). The form of oblique section straight line equation is y = KX + B, and the point (3 / 5,3 / 5) on this straight line satisfies y = KX + B, that is, 3 / 5 = - 1 / 2 * 3 / 5 + B, and the solution is b = 9 / 10. Therefore, the oblique section straight line equation is y = - 1 / 2x + 9 / 10, which turns into the general formula: X + 2y-9 / 10 = 0



Isosceles right triangle, to know two equal sides, find the third side length


An isosceles right triangle assumes that the isosceles side is a and the hypotenuse side is C
So according to Pythagorean theorem, there are
2a^2=c^2
We know that a can find C
We know that C can find a
I know equilateral a
Then C = a * sqrt (2)
Sqrt is the root sign



An isosceles right triangle, the sum of two right angles is 2.4 decimeters, its area is ()
A. 1.44 square decimeters B. 0.72 square decimeters C. 4.8 square decimeters D. 9.6 square decimeters


2.4 △ 2 = 1.2 (decimeter) 12 × 1.2 × 1.2 = 0.72 (square decimeter) answer: its area is 0.72 square decimeter



1. The area of a right triangle is 18 square centimeters, and the shorter right side is 4 centimeters. How much is the circumference and area of the circle with the longer right side as the radius?
2. There are 1015kg apples and pears in a store. If the apples increase by 48kg and the pears decrease by 2 / 25, the total amount will increase by 12kg?
3. Car a and car B leave from station a and station B at the same time. After a period of time, the two cars meet just 3 / 7 of the whole distance from station B. after meeting, the two cars continue to move forward. When car a arrives at station B, it immediately turns around and drives to station A. when car B arrives at station a, it immediately turns around and drives to station B. as a result, the two cars meet again at 72km away from station A. how many kilometers are there between station a and station B?


1: The longer right angle side length is 18 * 2 / 4 = 9, the perimeter of the circle with radius of 9 is 2 π * 9 = 18 π, and the area is π 9 ^ 2 = 81 π 2: suppose that the apple has x kg, then the pear has (1015-x) kg, 48 - (1015-x) * 2 / 25 = 12x = 565, so the apple has 565 kg 3: suppose that the distance between stations a and B is x km (2x-72) / (x + 72) = 4 / 3x = 36, so a



Let the area of a right triangle be 18 square centimeters, and the lengths of the two right sides be x (CM) and Y (CM)(


1/2xy=18
y=36/x