The slope is -1/2 and the equation is y=-1/2x-4
Answer:
DJ = 48
Step-by-step explanation:
In triangle CDE, point J is the centroid.
Length of median DH = 72
By the property of the centroid of a triangle,
"Centroid of a triangle divides the medians in the ratio of 2 : 1"
By this property, length of DJ = ![\frac{2}{(2+1)}(DH)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%282%2B1%29%7D%28DH%29)
= ![\frac{2}{3}(72)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%2872%29)
= 48 units
Therefore, length of DJ = 48 units
Answer:
![q=10p](https://tex.z-dn.net/?f=q%3D10p)
Step-by-step explanation:
According to the given table, the variables have a linear relation, because there's a constant change involved.
Notice that p-variable increases by one unit, while q-variable increases by 10 units. That means the ratio of change is
![r=\frac{\Delta q}{\Delta p}=\frac{10}{1}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B%5CDelta%20q%7D%7B%5CDelta%20p%7D%3D%5Cfrac%7B10%7D%7B1%7D)
Then, we use one pair of elements, like (3,30), and the point-slope formula to find the equations.
![q-q_{1} =m(p-p_{1} )\\q-30=10(p-3)\\q=10p-30+30\\q=10p](https://tex.z-dn.net/?f=q-q_%7B1%7D%20%3Dm%28p-p_%7B1%7D%20%29%5C%5Cq-30%3D10%28p-3%29%5C%5Cq%3D10p-30%2B30%5C%5Cq%3D10p)
Therfore, the equation that represents the table is ![q=10p](https://tex.z-dn.net/?f=q%3D10p)
Answer:
17
Step-by-step explanation:
for f(6).
![f(6) = - 3 \times 6 + 1 = 17](https://tex.z-dn.net/?f=f%286%29%20%3D%20%20-%203%20%5Ctimes%206%20%2B%201%20%3D%2017)
Answer:
I think it's 20
Step-by-step explanation: