Answer:
The coordinates of the point are (-3,-5)
Step-by-step explanation:
Here, we want to find the coordinates of the point that divides the segment in the ratio 3:2
We shall use the internal division formula;
(x,y) = (mx2 + nx1)/(m + n) , (my2 + ny1)/(m+ n)
Where in this case;
(x1,y1) = (6,-2)
(x2,y2) = (-9,-7)
(m, n) = 3,2
Substituting these values;
(x,y) = (3(-9) + 2(6))/(3+2) , (3(-7) + 2(-2))/(3+2)
(x,y) = (-27 + 12)/5 , (-21 -4)/5
(x ,y) = (-15/5, -25/5)
(x , y) = (-3,-5)
Answer:
x^2 -x -6
Step-by-step explanation:
f(x) = x^2 + 2x - 2 and g(x) = 3x + 4,
h(x) = f(x) – g(x)
= x^2 + 2x - 2 -(3x + 4)
Distribute the minus sign
x^2 + 2x - 2 -3x - 4
Combine like terms
x^2 -x -6
Answer:
290 + 5m = 985
Step-by-step explanation:
<u>Given information</u>:
- Initial payment = $290
- Total payment = $985
- Extra amount each month = m
- Length of rental = 5 months
From the <u>given information</u>, we can create the following <u>equation</u>:
Initial payment <u>plus</u> extra amount each month for 5 months <u>equals</u> total payment.
⇒ 290 + 5m = 985
<u>To solve the equation</u>:
Subtract 290 from both sides:
⇒ 290 + 5m - 290 = 985 - 290
⇒ 5m = 695
Divide both sides by 5:
⇒ 5m ÷ 5 = 695 ÷ 5
⇒ m = 139
Therefore, the extra amount George paid each month was $139.
1 milimeter=5 meters in real life
