Answer:
41
Step-by-step explanation:
Use the correct order of operations and do one step at a time to avoid making mistakes.
![16 \div 4 + 2^3 \times 5 - 3 =](https://tex.z-dn.net/?f=%2016%20%5Cdiv%204%20%2B%202%5E3%20%5Ctimes%205%20-%203%20%3D%20)
![= 4 + 8 \times 5 - 3](https://tex.z-dn.net/?f=%20%3D%204%20%2B%208%20%5Ctimes%205%20-%203%20)
![= 4 + 40 - 3](https://tex.z-dn.net/?f=%20%3D%204%20%2B%2040%20-%203%20)
![= 44 - 3](https://tex.z-dn.net/?f=%20%3D%2044%20-%203%20)
![= 41](https://tex.z-dn.net/?f=%20%3D%2041%20)
Answer:
Option (B)
Step-by-step explanation:
To calculate the distance between C2 and SW1 we will use the formula of distance between two points
and
.
d = ![\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E%7B2%7D%2B%28y_2-y_1%29%5E2%20%7D)
Coordinates representing positions of C2 and SW1 are (2, 2) and (-6, -7) respectively.
By substituting these coordinates in the formula,
Distance between these points = ![\sqrt{(-6-2)^2+(-7-2)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-6-2%29%5E2%2B%28-7-2%29%5E2%7D)
= ![\sqrt{(64)+(81)}](https://tex.z-dn.net/?f=%5Csqrt%7B%2864%29%2B%2881%29%7D)
=
units
Therefore, Option (B) will be the correct option.
Answer:
-20
Step-by-step explanation:
PEMDAS
The slope is 4.
To find the perpendicular slope, you use the negative reciprocal of the slope you already have. Since the original slope is -1/4, you flip -1/4 to get -4. You then find the negative of -4 to get 4
Step-by-step explanation:
x = 20
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