14 is the range of the pumpkin weights.
Answer:
13. ![D = 18](https://tex.z-dn.net/?f=D%20%3D%2018)
14. ![S = (x, y + 6)](https://tex.z-dn.net/?f=S%20%3D%20%28x%2C%20y%20%2B%206%29)
Step-by-step explanation:
13.
Given
![M = (-8,2)](https://tex.z-dn.net/?f=M%20%3D%20%28-8%2C2%29)
![S = (10,2)](https://tex.z-dn.net/?f=S%20%3D%20%2810%2C2%29)
Required
Determine the distance between M and S
Distance (D) is calculated using:
![D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%2B%28y_2%20-%20y_1%29%5E2%7D)
Where
![(x_1,y_1) = (-8,2)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%28-8%2C2%29)
![(x_2,y_2) = (10,2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%2810%2C2%29)
![D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%2B%28y_2%20-%20y_1%29%5E2%7D)
![D = \sqrt{(10 - (-8))^2 + (2 - 2)^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B%2810%20-%20%28-8%29%29%5E2%20%2B%20%282%20-%202%29%5E2%7D)
![D = \sqrt{(10 +8)^2 + 0^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B%2810%20%2B8%29%5E2%20%2B%200%5E2%7D)
![D = \sqrt{18^2 + 0}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B18%5E2%20%2B%200%7D)
![D = \sqrt{18^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B18%5E2%7D)
![D = 18](https://tex.z-dn.net/?f=D%20%3D%2018)
<em>Hence, the distance between M and S is 18 units</em>
<em></em>
14.
The coordinate of S and P are not given,
So, I'll just use (x,y) for P
i.e.
![P=(x,y)](https://tex.z-dn.net/?f=P%3D%28x%2Cy%29)
Required
Determine the coordinates of S
If S is 6 units above P, then the coordinates of S is
![S = (x, y + 6)](https://tex.z-dn.net/?f=S%20%3D%20%28x%2C%20y%20%2B%206%29)
<em>i.e. we add the units to the y coordinate of P.</em>
Answer:
19.21m is the diagonal
Step-by-step explanation:
We are looking for the diagonal, which makes it the hypotenuse of a right triangle, with the legs being 15 and 12
We can use the Pythagorean theorem
a^2 + b^2 = c^2
12^2 + 15^2 = c^2
144 +225 = c^2
369 = c^2
Take the square root of each side
sqrt(369) = sqrt(c^2)
19.209 =c
19.21 m = c
You can make 5 full scarves in total.
Answer:
5 tens and 3 hundreds = 50 + 300 = 350. That is basically asking what number goes 5-3-2. This is because 5 hundreds means 5 in the hundreds place, or 500. 3 tens is just saying 3 in the tens place, or 30.
Step-by-step explanation: