Answer:
11 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with (x₁, y₁ ) = (- 6, 8) and (x₂, y₂ ) = (- 6, - 3)
d = ![\sqrt{-6+6)^2+(-3-8)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B-6%2B6%29%5E2%2B%28-3-8%29%5E2%7D)
= ![\sqrt{0^2+(-11)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B0%5E2%2B%28-11%29%5E2%7D)
= ![\sqrt{0+121}](https://tex.z-dn.net/?f=%5Csqrt%7B0%2B121%7D)
=
= 11
Answer:
A is (10,0)
B is (3, 3).
Step-by-step explanation:
First we calculate the coordinates of the point A.
Here, y = 0 so we have:
7(0) - 3x + 30 = 0
-3x + 30 = 0
x = -30/-3 = 10.
So A has coordinates (10,0).
Next we find the coordinates of the points where the line passes through the y axis. Here x = 0:
7x - 3(0) = 30
x = 30/7.
So the point is (0, 30/7).
Let the point B have coordinates (x1, y1)
Now x1 = y1 (given).
If we draw a line from B perpendicular to the x axis ( its length will be = y1) then we have 2 similar triangles.
So as corresponding sides are in the same ratio:
y1/ (30/7) = (10-x1) / 10
But as x1 = y1:
x1/ (30/7) = (10-x1) / 10
7 x1 / 30 = (10-x1) / 10
70 x1 = 30(10 - x1)
70x1 = 300 - 30 x1
100 x1 = 300
x1 = 3
So the coordinates of B are (3,3)
Checking the solution to the equation:
LHS = 3 / 30/7 = 3*7 / 30 = 21/30 = 7/10.
RHS = (10 -3 ) / 10 = 7/10.
Answer:
0.8
Step-by-step explanation:
Given:
hours one day
To find: How much snow fell per hour?
Solution: To find how much it will snow in an hour, first convert
to a decimal
3.75. Now, divide 3 by 3.75
÷ ![3.75](https://tex.z-dn.net/?f=3.75)
![= 0.8](https://tex.z-dn.net/?f=%3D%200.8)
So, 0.8 snow will fall per hour
D = g + 25
d + g = 61
g + 25 + g = 61
2g + 25 = 61
2g = 61 - 25
2g = 36
g = 36/2
g = 18 <=== gunta is 18
d (dad) = g + 25 = 18 + 25 = 43