Answer:
Vertex is at (4, 2)
Step-by-step explanation:
to find the 'x' value of the vertex, use 'x = -b/2a'
in this problem, a = 1, b = -8, c = 18
x = -(-8)/2(1)
x = 8/2
x = 4
plug 2 in for 'x' in equation and solve for 'y':
y = 4² - 8(4) + 18
y = 16 - 32 + 18
y = -16 + 18
y = 2
Vertex is at (4, 2)
discrete? or quantitative
Answer:
412.3 feet
Step-by-step explanation:
A canoe rental shop is being built near a river. An equation of the line representing the river is y=1/4x+8. Each unit in the coordinate plane corresponds to 100 feet. Approximately how far is the canoe rental shop from the river? Round your answer to the nearest whole foot. The rental shop is at (-3,3).
Solution:
The distance between a point and a line is the perpendicular distance. The perpendicular distance is the shortest distance between the point and the line.
Given a point () and a line with the equation Ax + By + C = 0, the perpendicular distance (d) is given as:
Given the equation of the line y = 1/4 x + 8
y - 1/4 x - 8 = 0
Therefore A = -1/4, B = 1 and C = -8
The point is (-3,3), therefore
A year is about 52 weeks.
So in a week, 40 ounces is gained.
In 52 weeks, you should multiply 40 by 52.
40 x 52 = 2080 ounces.
There are 16 ounces to a pound
2080 divide by 16 = 130 pounds.
The product of 3.6 x 4.2 is 15.12