Answer: 6.67
Step-by-step explanation:
Using the similarity theory, we get the equation
5/30 = BM/40
BM = 5*40/30 = 20/3 = 6.67
Answer number 2
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 

The formula to find the slope of a line is m =

where the x's and y's are your given coordinates and m is your slope. So, plug in your coordinates and solve.
m = <span>
![\frac{y_2 - y_1}{x_2 - x_1} Plug in your coordinates m = [tex] \frac{-2 - 7}{8 - -1} Cancel out the double negative m = [tex] \frac{-2 - 7}{8 + 1} Simplify m = [tex] \frac{-9}{9} Divide m = -1 Now, plug that slope and one set of your given coordinates into point-slope form, [tex]y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%20%20Plug%20in%20your%20coordinates%20%3C%2Fspan%3Em%20%3D%20%3Cspan%3E%5Btex%5D%20%5Cfrac%7B-2%20-%207%7D%7B8%20-%20-1%7D%20%20%20Cancel%20out%20the%20double%20negative%20%3C%2Fspan%3Em%20%3D%20%3Cspan%3E%5Btex%5D%20%5Cfrac%7B-2%20-%207%7D%7B8%20%2B%201%7D%20%20%20Simplify%20%3C%2Fspan%3Em%20%3D%20%3Cspan%3E%5Btex%5D%20%5Cfrac%7B-9%7D%7B9%7D%20%20%20Divide%20m%20%3D%20-1%20%20%3C%2Fspan%3E%20Now%2C%20plug%20that%20slope%20and%20one%20set%20of%20your%20given%20coordinates%20into%20point-slope%20form%2C%20%5Btex%5Dy%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
. I'll use (-1, 7).
<span>

Plug in your points and slope
</span>y - 7 = -1(x - -1) Cancel out the double negative
y - 7 = -1(x + 1) Use the Distributive Property
y - 7 = -x - 1 Add 7 to both sides
y = -x + 6
</span>
Answer: the median and they should predict size 8
Step-by-step explanation:
It is this answer because if you put the numbers in order from least to greatest and then start to find the median you will get two answers for the median and the numbers you should get are two 8 so then you add the two 8's up and then you get 16 so then you divide it by 2 and you will get 8 and that is your answer.
Answer:
Step-by-step explanation:
-5x-4y=-4 ...(1)
25x+ 20y = 20 ....(2)
multiply (1) by -5 you have : 25x+ 20y = 20 ....(2) same equation , same line
so : The system has infinitely solutions.