Answer:
8x = 104
x = 13
Step-by-step explanation:
Since we are trying to distribute it evenly, we divide 104 by 8 to get 13 pieces of candy per child.
The equation is saying 8 kids times <em>x</em> amount of candy per kid is equal to a total amount of 104 pieces of candy.
Answer:
Step-by-step explanation:
Slope of line A = ![\frac{\text{Rise}}{\text{Run}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BRise%7D%7D%7B%5Ctext%7BRun%7D%7D)
= ![\frac{9}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B3%7D)
= 3
Slope of line B = ![\frac{9}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B6%7D)
= ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Slope of line C = ![\frac{6}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B8%7D)
= ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
5). Slope of the hypotenuse of the right triangle = ![\frac{\text{Rise}}{\text{Run}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BRise%7D%7D%7B%5Ctext%7BRun%7D%7D)
= ![\frac{90}{120}](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B120%7D)
= ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.
6). Slope of the hypotenuse = ![\frac{30}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B10%7D)
= 3
Therefore, this triangle may lie on the line A.
7). Slope of hypotenuse = ![\frac{18}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B24%7D)
= ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
Given triangle may lie on the line C.
8). Slope of hypotenuse = ![\frac{21}{14}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B14%7D)
= ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Given triangle may lie on the line B.
9). Slope of hypotenuse = ![\frac{36}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B24%7D)
= ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Given triangle may lie on the line B.
10). Slope of hypotenuse = ![\frac{48}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B48%7D%7B16%7D)
= 3
Given triangle may lie on the line A.
(6^-2)^2 = 1/1296 = 0.0007716049382716 hope this is what you were looking for. the math is right tho for (6^-2)^2 most calculators can do this easy just do 6^-2 then after just do ^2
Answer:
17/38 or ≈ 0.45
Step-by-step explanation:
(-7) -10 / (-28)-10
= -17 / -38
= 17/38
You can keep the answer in fraction as 17/38 or ≈ 0.45
Hope this help you :3
Answer: THIRD OPTION.
Step-by-step explanation:
For this exercise you need to use the formula for calculate the distance between two points. This is:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Given the following points:
and ![(-3,-5)](https://tex.z-dn.net/?f=%28-3%2C-5%29)
You can identify that:
![x_2=-3\\x_1=5\\\\y_2=-5\\y_1=1](https://tex.z-dn.net/?f=x_2%3D-3%5C%5Cx_1%3D5%5C%5C%5C%5Cy_2%3D-5%5C%5Cy_1%3D1)
Knowing these values, the next step is to substitute them into the equation for calculate the distance between two points and then evaluate.
Therefore, the distance between
and
is:
![d=\sqrt{(-3-5)^2+(-5-1)^2}\\\\d=10](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3-5%29%5E2%2B%28-5-1%29%5E2%7D%5C%5C%5C%5Cd%3D10)