Answer:
In a system, the substitution method is one of the 3 main ways to solve a system and can be very efficient at times.
<u>Skills needed: Systems, Algebra</u>
Step-by-step explanation:
1) Let's say we are given two equations below:
![y=4x \\ 4x-5y=-32](https://tex.z-dn.net/?f=y%3D4x%20%5C%5C%204x-5y%3D-32)
We can use substitution here by substituting in for
in the second equation. This means we put in
for
in the 2nd equation so we only have
variables in the equation, allowing us to solve for
.
2) Solving it out:
![1) 4x-5(4x)=-32 \\ 2) 4x-20x=-32 \\3) -16x=-32 \\4)x=2\\5)y=4x = 4(2) = 8 \\ 6)y=8](https://tex.z-dn.net/?f=1%29%204x-5%284x%29%3D-32%20%5C%5C%202%29%204x-20x%3D-32%20%5C%5C3%29%20-16x%3D-32%20%5C%5C4%29x%3D2%5C%5C5%29y%3D4x%20%3D%204%282%29%20%3D%208%20%5C%5C%206%29y%3D8)
We essentially substitute in that value as seen in step 1. Steps 2 and 3 are just simplifying the left side and allowing for us to solve. Step 4 is where we divide by -16 on both sides to solve for x. Step 5 and 6 show us solving for y using the value for x. We get ![x=2,y=8](https://tex.z-dn.net/?f=x%3D2%2Cy%3D8)
The answer issssssssssssss 72.42
Answer:
Its asking you which one is greater or less than. Hope this help?
Step-by-step explanation:
Please find the attached file for a better understanding of the explanation given here.
the attached diagram is a generated image of the first fifteen rows of a pascal's triangle. As can be seen from the image, the least four-digit number in the first fifteen rows of pascal's triangle is 1001.
In the diagram attached that number is present in the very last row and is highlighted using a yellow rectangle.
Answer:
18π ft^2
Step-by-step explanation:
The area of the circle is
pi *r^2
pi * 12^2
144pi
The part that is shaded is 45 degrees
An entire circle is 360 degrees
The fraction that is shaded is 45/360 = 1/8
Multiply the area by the fraction that is shaded
1/8 * 144 pi
18 pi