That sounds fun but I think that’s physical education not mathematics
Hello,
Point-slope form is
![y - y_{1} = m(x - x_{1})](https://tex.z-dn.net/?f=y%20-%20y_%7B1%7D%20%3D%20m%28x%20-%20%20x_%7B1%7D%29)
.
Since they already give us the slope, which is 4, and a point from the equation, which is (4, -9),
![x_{1} = 4](https://tex.z-dn.net/?f=%20x_%7B1%7D%20%3D%204)
and
![y_{1} = -9.](https://tex.z-dn.net/?f=%20y_%7B1%7D%20%3D%20-9.%20)
. Then, we can substitute the values into our point-slope formula.
y - (-9) = 4(x - 4), which is equal to y + 9 = 4(x - 4).
Therefore, your final answer is
A, y + 9 = 4(x - 4).
To calculate the average you add up all the scores and divide by the number of scores (5)
add all the current test scores and allow X to be the unknown score:
92+80+88+93+X: or 353 + X
set up equation:
(353+X)
______ = 90
5
Multiply both side of the equation by 5 to clear the fraction resulting in:
353+X=450
Subtract 353 from both sides of the equation:
x = 97
So the test score needed to get a 90 average is 97.
Answer:
![\boxed{\bold{3+4x](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7B3%2B4x%3C2%281%2B2x%29%7D%7D)
Step-by-step explanation:
Expand ![\bold{2\left(1+2x\right): \ 2+4x}](https://tex.z-dn.net/?f=%5Cbold%7B2%5Cleft%281%2B2x%5Cright%29%3A%20%5C%202%2B4x%7D)
![\bold{3+4x](https://tex.z-dn.net/?f=%5Cbold%7B3%2B4x%3C2%2B4x%7D)
Subtract 3 from both sides
![\bold{3+4x-3](https://tex.z-dn.net/?f=%5Cbold%7B3%2B4x-3%3C2%2B4x-3%7D)
Simplify
![4x](https://tex.z-dn.net/?f=4x%3C4x-1)
Subtract 4x from both sides
![\bold{4x-4x](https://tex.z-dn.net/?f=%5Cbold%7B4x-4x%3C4x-1-4x%7D)
Simplify
0 < -1
No solution
The mass of the gold bar is = 13.896 kg.
To acheive this answer you have to multiply the area of the trapezium and the length of the bar. Hope this helped x :)