Solution:
Given that the point P lies 1/3 along the segment RS as shown below:
To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have
Using the section formula expressed as
![[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
In this case,
where
Thus, by substitution, we have
![\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5B%5Cfrac%7B1%282%29%2B2%28-7%29%7D%7B1%2B2%7D%2C%5Cfrac%7B1%284%29%2B2%28-2%29%7D%7B1%2B2%7D%5D%20%5C%5C%20%5CRightarrow%5B%5Cfrac%7B2-14%7D%7B3%7D%2C%5Cfrac%7B4-4%7D%7B3%7D%5D%20%5C%5C%20%3D%5B-4%2C%5Ctext%7B%200%5Crbrack%7D%20%5Cend%7Bgathered%7D)
Hence, the y-coordinate of the point P is
Combining like terms would be defined as multiplying each term in a set of parentheses by the number outside of the parentheses.
Answer: Zero; 9; -18
Step-by-step explanation:
An additive inverse always adds up to zero. 9 is the opposite of -9, and -18 is the opposite of 18
Answer: the cost of the car is $54600
Step-by-step explanation:
Let x represent the cost of the car.
She pays a deposit equal to 20% of the cost of the car. This means that the amount of money that she paid as deposit would be
20/100 × x = 0.2 × x = 0.2x
The remaining balance would be
x - 0.2x = 0.8x
She will pay the balance in 8 equal payments of $5460 each month. This means that
0.8x/8 = 5460
0.1x = 5460
Dividing the left hand side and the right hand side of the equation by 0.1, it becomes
0.1x/0.1 = 5460/0.1
x = 54600
Answer:
$180,000 is 10% $9,000 is 5%
Step-by-step explanation:
To solve for this, you would set up a ratio and cross-multiply.
$18,000/$180,000 = x%/100%
(18,000)(100) = 180,000x
1,800,000 = 180,000x
10 = x
9,000/180,000 = x/100
900,000 = 180,000x
5 = x
OR
$18,000 ÷ 2 = $9,000
10% ÷ 2 = 5%
