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A very meaningful mathematical problem In the plane rectangular coordinate system, the line y = x + 1 and y = - 3 / 4x + 3 intersect at point a, respectively intersect the X axis at point B and point C, and point D is a moving point on the line AC (1) Point m is a moving point on the parabola. When the triangle CBM is an isosceles triangle, the coordinates of point m are obtained (2) Point n is a moving point on the parabola. When the triangle BCN is a right triangle, the coordinates of point n are obtained The analytical formula of parabola passing through ABC three points is y = - 7 / 20x ^ 2 + 21 / 20x + 7 / 5
(1)f(3/2)=301/80 m(3/2,301/80)
(2) Angle n is not a right angle (vector verification)
f（-1）=0 f（4）=0
So no solution
A very interesting math problem!
Worker Wang Ming plans to produce 176 parts in April. In the first ten days, he produces an average of 4 parts a day. Later, he improves the technology, three days ahead of schedule and overfulfils the task. How many parts does Wang Ming produce on average every day after ten days? Detailed process and solution ideas are needed. Thank you!
Do you think April is 30 days?
4 × 10 = 40 completed in the first ten days
176-40 = 136 left
3 days ahead of schedule, so the rest took at least 31-10-4 = 17 days
After 10 days, at least 136 / 17 = 8 parts are produced every day
A very interesting math problem,
It is known that the solution of the equations {x + 2Y = 5m} about X and Y satisfies the equation 3x + 2Y = 19, and the value of M is obtained
x-2y=9m ②
I just want to see who has the most complete answer
x+2y=5m ①
3x+2y=19 ②
x-2y=9m ③
① + 3: 2x = 14m
x=7m ④
② - ① get: 2x = 19-5m, ⑤
Substituting (4) into (5), we get: 14m = 19 = 5m
m=1
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