The slope is 6 hope this help
This is asking for x and y coordinates. for example, 1 ticket is $34, right? so on the x side, there is a 1, and on the y side theres a 34. the order pair would be (1, 34). then graph it. the equation would be y=34x. hope this helps!
Answer:
(x-1)²+(y-3)²=65
Step-by-step explanation:
the common view of the equation of a circle is:
a) (x-a)²+(y-b)²=r², where (a;b) - the centre of the required circle, r - the radius of the required circle;
b) using the coordinates of the endpoint of the given diameter it is possible to calculate the coordinates of the centre of the required circle and its radius²:
the coordinate x of the required circle is: (9-7)/2=1;
the coordinate y of the required circle is: (2+4)/2=3.
the radius² of the required circle is:
r²=0.25*[(9- -7)²+(2-4)²]=0.25*260=65.
c) after the substitution the values of 'a'; 'b' and 'r²' into the common equation of the circle:
(x-1)²+(y-3)²=65.
PS. additional: the given points (9;2) and (-7;4) belong to the final equation, if to substitute their coordinates into it.
The suggested way of solution is not the only one.
Answer:
Infinitely many solutions
Step-by-step explanation:
Left side:
When you distribute 1/2 to the equation in the parentheses, it will be 3x-3/2.
Right side:
When you distribute 1/4 to the equation in the parentheses, it will be 3x-6/4.
6/4 can be reduced to 3/2 so it'll be 3x-3/2.
This means that the reduced form will be 3x-3/2=3x-3/2
Since the 2 sides have the same equation, there will be infinitely many solutions.
First take x + 2y = 6 and isolate x:
x = 6 - 2y
Then substitute that for x in 2x + 3y = 4:
2(6 - 2y) + 3y = 4
12 - 4y + 3y = 4
12 - y = 4
-y = -8
y = 8
Substitute y = 8 into x + 2y = 6 and 2x + 3y = 4:
x + 2(8) = 6 --> x + 16 = 6 --> x = -10
2x + 3(8) = 4 --> 2x + 24 = 4 --> 2x = -20 --> x = -10
y = 8 and x = -10
