Answer: ![\Large\boxed{W=-10}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7BW%3D-10%7D)
Step-by-step explanation:
<u>Given equation</u>
![(\dfrac{W}{-5} )-4=-2](https://tex.z-dn.net/?f=%28%5Cdfrac%7BW%7D%7B-5%7D%20%29-4%3D-2)
<u>Add 4 on both sides</u>
![(\dfrac{W}{-5} )-4+4=-2+4](https://tex.z-dn.net/?f=%28%5Cdfrac%7BW%7D%7B-5%7D%20%29-4%2B4%3D-2%2B4)
![(\dfrac{W}{-5} )=2](https://tex.z-dn.net/?f=%28%5Cdfrac%7BW%7D%7B-5%7D%20%29%3D2)
<u>Multiply -5 on both sides</u>
![(\dfrac{W}{-5} )\times (-5)=2\times(-5)](https://tex.z-dn.net/?f=%28%5Cdfrac%7BW%7D%7B-5%7D%20%29%5Ctimes%20%28-5%29%3D2%5Ctimes%28-5%29)
![\Large\boxed{W=-10}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7BW%3D-10%7D)
Hope this helps!! :)
Please let me know if you have any questions
y = 4x -3
Find the y-intercept; (0, -3). Plug this coordinate's y-value in for the b (y = mx + b).
Now, find two points on the line to do slope formula, or you can do rise over run. For example, if I had the points (0, -3), and (1, 1), I'd have the formula [1 - (-3)] / (1 - 0), in which the division sign represents a fraction. The simplified version of this fraction will be 4.
Plug this value in for m.
Now, your equation is y = 4x - 3
Answer: C
Step-by-step explanation:
See attached image.
Answer:
2315.35 inches
Step-by-step explanation:
Since the circumference of a circle is
, then the diameter of the circle is
inches
Answer:
<u>A. 20.86 square inches</u>
Step-by-step explanation:
a)
We know that the formula for the area of a rectangle is Length x Height (A = LH).
Length (L) = 6 inches
Height (H) = 4 inches
So we incorporate our formula for the area of a rectangle into this situation:
Area (A) = 6 x 4
Area (A) = 24 in^2
b)
We know that the formula for the area of a circle is Pi x radius squared (A = πr^2).
Radius (r) = 1 inch
So we incorporate our formula for the area of a circle into this situation:
Area (A) = 3.14 x 1^2
Area (A) = 3.14 in^2
c)
We can see from the diagram that the shaded region come mainly from the rectangle. So to find the area of the shaded part, we can simply subtract the area of the circle, from the area of the rectangle (Area of rectangle - Area of circle = Area of shaded region).
Area of rectangle = 24 in^2
Area of circle = 3.14 in^2
So we incorporate our formula for the area of the shaded part into this situation:
Area (A) = 24 in^2 - 3.14 in^2
<u>Area (A) = 20.86 in^2</u>