Answer:
-3
Step-by-step explanation:
3 x 6 - 42/2 =
18 - 42/2 =
18 - 21 =
-3
Answer:
-0.985
Step-by-step explanation:
Refer to the image below for explanation:
Answer:
Point (1,8)
Step-by-step explanation:
We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.
When a point divides any segment internally in the ratio m:n, the formula is:
![[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2Cy%3D%20%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
Let us substitute coordinates of point P and Q as:
,




![[x=\frac{4}{4},y=\frac{32}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B4%7D%7B4%7D%2Cy%3D%5Cfrac%7B32%7D%7B4%7D%5D)
Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.
Answer:
B
Step-by-step explanation:
recall that point-slope form of a linear equation is expressed as follows
y - y1 = m (x - x1)
where m = slope and (x1, y1) is the coordinate of any point on the line
so, here we have m = (3/5), x1 = 4 and y1 = -6
substitute these into the formula
y - (-6) = (3/5) (x - 4)
y + 6 = (3/5) (x - 4)----> answer
So a box of 20 chocolates is divided between a group of people based on age
So the ratio for Sibusiso, Dorris, and Freddy is 2:3:5
Add these together, and you get 10
So to find how much each person gets, divide total amount of chocolates by total age
So (20÷10) = 2
So multiply each age term by 2 and you have your answer
(4:6:10)
So Sibusiso gets 4, Dorris gets 6 and Freddy gets 10