Answer:
Denote:
A(-10, -10)
B(6, -2)
vector AB(6 - -10, -2 - -10) = (16, 8)
(3/5)vector AB = (16 x 3/5, 8 x 3/5) = (9.6, 4.8)
=> Point M that partitions the directed line segment AB into a ratio of 3 to 5:
M = A + (3/5)vector AB = (-10 + 9,6, -10 + 4.8) = (-0.4, -5.2)
Hope this helps!
:)
Answer:
miles
Step-by-step explanation:

Hope this helps!
Answer:
<em>Equation; y = 1 3 / 7x - 5 / 7</em>
Step-by-step explanation:
First consider the slope of this equation we must derive;
Slope Formula = Rise / Run,
y2 - y1 / x2 - x1 ⇒
5 - ( - 5 ) / 4 - ( - 3 ) ⇒
10 / 7 ⇒ Slope : 1 3 / 7
So far we can formulate an equation as such;
y = 1 3 / 7 * x + b, <em>where b ⇒ y - intercept</em>
Given one of the points, substitute into this equation solving for b;
5 = 1 3 / 7 * ( 4 ) + b,
5 = 40 / 7 + b,
b = - 5 / 7
From this we can derive one point - slope from equation to be :
<em>Equation; y = 1 3 / 7x - 5 / 7</em>
Answer:
x = 50
Step-by-step explanation:
Let x be the original price.
He got 30% off
The discount is .30x
Subtract this from the original price to get the price he paid
x - .30x = price he paid
.70x = price he paid
.70x = 35
Divide each side by .7
.70x/.7 = 35/.7
x=50