Answer:
infinite
Step-by-step explanation:
Let the linear equation in two variables be ax+by+c=0
Put values
![\\ \sf\longmapsto 1a+3b+c=0](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%201a%2B3b%2Bc%3D0)
![\\ \sf\longmapsto a+3b+c](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20a%2B3b%2Bc)
Hence for any values it has infinite number of solutions .
including x=1 and y=3
Answer:
0.714 free throws.
Step-by-step explanation:
Anna made 20 out of 28 free throws.
Free-throw average =
= 0.7142857143 free throws.
This equals 0.714 free throws (answer rounded up to the nearest thousandths)
C because you have to think a bout how to get from y to x
Answer:
y = 8x+8
Step-by-step explanation:
We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)
Slope formula is: ![m = \frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Plug in the 2 points: ![m = \frac{16-8}{1-0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B16-8%7D%7B1-0%7D)
Simplify: m = 8
So now, for the equation y = mx+b, we have m which is y = 8x+b
Now we need to find b by using another point from this linear function.
We can use the point (2,24).
Plug this point into the equation y = 8x+b
- 24 = 8(2)+b
- 24 = 16 + b
- b = 8
We have now found the equation of the linear function: y = 8x+8
Answer:
The recoil velocity of the gun is
and is pointing in opposite direction to the velocity of the bullet.
Step-by-step explanation:
Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).
We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg
In mathematical terms, we have:
![5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}](https://tex.z-dn.net/?f=5%5C%2C%20kg%20%2A%20v%3D%200.01%20%5C%2Ckg%5C%2C%2A%20360%5C%2C%5Cfrac%7Bkm%7D%7Bh%7D%20%5C%5Cv%3D%5Cfrac%7B0.01%5C%2C%2A360%7D%7B5%7D%20%5C%2C%5C%2C%5Cfrac%7Bkm%7D%7Bh%7D%5C%5Cv%3D0.72%5C%2C%5C%2C%5Cfrac%7Bkm%7D%7Bh%7D)