Answer:
The length of CI is 10 units.
Step-by-step explanation:
It is given that ABCD is a parallelogram and diagonals AC and BD intersect at point I.
The diagonals of a parallelogram bisect each other.
![AI=CI](https://tex.z-dn.net/?f=AI%3DCI)
![AC=AI+CI](https://tex.z-dn.net/?f=AC%3DAI%2BCI)
![[\because AI=CI]](https://tex.z-dn.net/?f=%5B%5Cbecause%20AI%3DCI%5D)
![3x-16=2(x-2)](https://tex.z-dn.net/?f=3x-16%3D2%28x-2%29)
![3x-16=2x-4](https://tex.z-dn.net/?f=3x-16%3D2x-4)
![3x-2x=16-4](https://tex.z-dn.net/?f=3x-2x%3D16-4)
The value of x is 12.
![CI=AI=x-2=12-2=10](https://tex.z-dn.net/?f=CI%3DAI%3Dx-2%3D12-2%3D10)
Therefore the length of CI is 10 units.
For this case we have the following expression:
y2 - xy - 56x2
Rewriting we have the factored expression, which is given by:
(7x + y) (y-8x)
Checking we have:
7xy - 56x ^ 2 + y ^ 2 - 8xy
y ^ 2 - xy - 56x ^ 2 (OK)
Answer:
The factored expression is given by:
y2 - xy - 56x2 = (7x + y) (y-8x)
The average speed of Joshua during that time is 2500 m/h.
Explanation:
It is given that Joshua started cycling at 5:15 pm. By 8:09 pm he has covered a distance of 7250 m.
The total time taken by Joshua from 5:15 pm to 8:09 pm is
![2 { h } 54 \text { min }=2 \mathrm{h}+\frac{54}{60} {h}](https://tex.z-dn.net/?f=2%20%7B%20h%20%7D%2054%20%5Ctext%20%7B%20min%20%7D%3D2%20%5Cmathrm%7Bh%7D%2B%5Cfrac%7B54%7D%7B60%7D%20%7Bh%7D)
Dividing we get,
![2 { h } 54 \text { min }=2 \mathrm{h}+0.9 {h}](https://tex.z-dn.net/?f=2%20%7B%20h%20%7D%2054%20%5Ctext%20%7B%20min%20%7D%3D2%20%5Cmathrm%7Bh%7D%2B0.9%20%7Bh%7D)
Adding, we have,
![2 { h } 54 \text { min }=2.9 {h}](https://tex.z-dn.net/?f=2%20%7B%20h%20%7D%2054%20%5Ctext%20%7B%20min%20%7D%3D2.9%20%7Bh%7D)
Thus, the total time taken by Joshua is ![2.9 {h}](https://tex.z-dn.net/?f=2.9%20%7Bh%7D)
To determine the average speed we use the formula,
![speed=\frac{distance}{time}](https://tex.z-dn.net/?f=speed%3D%5Cfrac%7Bdistance%7D%7Btime%7D)
where
and ![time=2.9](https://tex.z-dn.net/?f=time%3D2.9)
Hence, substituting the values we have,
![speed=\frac{7250}{2.9}](https://tex.z-dn.net/?f=speed%3D%5Cfrac%7B7250%7D%7B2.9%7D)
Dividing, we get,
![speed=2500](https://tex.z-dn.net/?f=speed%3D2500)
Thus, the average speed of Joshua during that time is 2500 m/h.
12, 3/4=12.75. 2, 1/2=2.5. All you have to do is multiple base * height to get your answer. so 12.75*2.=31.875.
Answer:
y = 14x
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 7 as y and 0.5 as x, and solve for k:
y = kx
7 = k(0.5)
14 = k
Plug this into the equation:
y = kx
y = 14x
So, the equation of variation is y = 14x