Answer:
y = 2x - 3
Step-by-step explanation:
to do this problem, we will use the following formula to find the slope of the line
(y2 - y1) / (x2 - x1)
(1,5) (2,7)
(7 - 5) / (2 - 1)
2 / 1
2 = m
next, we will substitute the slope and one of the points into the slope-intercept form (y = mx + b) and solve for b to find the y-intercept
y = mx + b
7 = (5)(2) + b
7 = 10 + b
-3 = b
finally, we put it all together into one equation
y = 2x - 3
Answer:
8 books
Step-by-step explanation:
Earning for each ticket is $0.25 and for each book is $2
If total earning for 4 tickets and x books is $17, then the equation is:
- 0.25*4 + 2x = 17
- 1 + 2x = 17
- 2x = 16
- x = 16/2
- x = 8
So Molly purchased 8 books
Answer:
The combination 9 mm, 6mm, 5mm will not form a triangle.
9 +6 = 15 > 5
6+5= 11 < 9
9+5 =14 > 6
Explanation :
because the side length of triangle does not obey triangle inequality theorem.
The triangle inequality theorem:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)
Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.
Part 3: The focus is inside the parabola, but it is the same distance from the vertex as the directrix. This distance is 1/2 units, and it will be to the left of the vertex. So the focus is at (-1/2, 0).
