Answer:
10
Step-by-step explanation:
d = √(x2 -x1)² + (y2 - y1)²
√(-6 - 0)² + [1 - (-7)]²
√(-6)² + (8)²
√(36) + (64)
√100
= 10
Answer:
Step-by-step explanation:
Given
Required
Determine AM
Since M is the midpoint, we have that;
Substitute values for AM and MB
Collect Like Terms
To solve for AM; substitute 6 for x in
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
Part A: About 0.21
We will put the wanted outcome (yellow pieces of candy) over the total number of possible outcomes (total pieces of candy).
About 0.21
Part B: About 50
First we will do the same as we did with the yellow pieces of candy, wanted outcomes over possible outcomes.
0.25
Now, we will multiply the total 200 pieces by 0.25 since 0.25 of them are estimated to be green.
200 * 0.25 = 50
I estimate about 50 of the pieces to be green.