Answer:
B) 2x - 12x - 18 = 8
Step-by-step explanation:
2x - 3y = 8
If y = 4x - 6, then substitute and solve:
2x - 3(4x - 6) = 8
2x - 12x - 18 = 8
10x - 18 = 8
10x = 8 + 18
10x = 26
x = 26/10
x = 2.6
y = 4(2.6) - 6
y = 10.4 - 6
y = 4.4
Answer:
C. center: (7/2, -3/2); radius: sqrt(74)/2
Step-by-step explanation:
x^2 + y^2 - 7x + 3y - 4 = 0
We can put the equation in standard form by completing the square in x and in y.
x^2 - 7x + ___ + y^2 + 3y + ___ = 4 + ___ + ___
x^2 - 7x + (7/2)^2 + y^2 + 3y + (3/2)^2 = 4 + (7/2)^2 + (3/2)^2
(x - 7/2)^2 + (y + 3/2)^2 = 16/4 + 49/4 + 9/4
(x - 7/2)^2 + (y + 3/2)^2 = 74/4
(x - 7/2)^2 + (y + 3/2)^2 = (sqrt(74)/2)^2
Answer: center: (7/2, -3/2); radius: sqrt(74)/2
Answer:
Coordinate grid is shown below: a coordinate grid from negative 2 to 0 to positive 2 is drawn. there are three grid lines between a whole unit on the grid. part a: which point represents the origin? (2 points) part b: starting from the origin, explain how to plot the following three points accurately: (2, −2) (−2, 1.5) (−1, fraction 2 over 4)
Step-by-step explanation:
There are 3 different possibilities for cones and 5 flavors of yoghurt.
You would do 3*5 to calculate the sample space, which is 15.
