Answer:
C = (2,2)
Step-by-step explanation:
B = (10 ; 2)
M = (6 ; 2)
C = (x ; y )
|___________|___________|
B (10;2) M (6;2) C ( x; y)
So:
dBM = dMC
√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 6)^2]
(2-2)^2 - (6-10)^2 = (y-2)^2 + (x - 6)^2
0 + (-4)^2 = (y-2)^2 + (x - 6)^2
16 = (y-2)^2 + (x - 6)^2
16 - (x - 6)^2 = (y-2)^2
Also:
2*dBM = dBC
2*√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 10)^2]
4*[(0)^2 + (-4)^2] = (y-2)^2 + (x - 10)^2
4*(16) = (y-2)^2 + (x - 10)^2
64 = (y-2)^2 + (x - 10)^2
64 = 16 - (x - 6)^2 + (x - 10)^2
48 = (x - 10)^2 - (x - 6)^2
48 = x^2 - 20*x + 100 - x^2 + 12*x - 36
48 = - 20*x + 100 + 12*x - 36
8*x = 16
x = 2
Thus:
16 - (x - 6)^2 = (y-2)^2
16 - (2 - 6)^2 = (y-2)^2
16 - (-4)^2 = (y-2)^2
16 - 16 = (y-2)^2
0 = (y-2)^2
0 = y - 2
2 = y
⇒ C = (2,2)
The answer is A.
The cost of 25 vases would be $75 (25*3). then x would be the number of flowers she can buy at $2 each before she goes over $275. So, $2x+$75 < $275
Answer:
17, 19, 21
Step-by-step explanation:
If we denote the smallest number as x, then the middle number will be x + 2 and the largest number will be x + 2 + 2.
The equation is:
x + (x + 2) = 3 * (x + 2 + 2) - 27
2x + 2 = 3x + 12 - 27
2x - 3x = 12 - 27 - 2
-x = -17
x = 17
The numbers are: 17, 19, 21
Let's check to be sure:
17 + 19 = 36
3 * 21 - 27 = 63 - 27 = 36
7x²=9+x
so
for
0=ax²+bx+c
so
7x²=9+x
mins 9 from both sides and minus x
7x²-1x-9=0
a=7
b=-1
c=-9
so the 4th one
