-10= 7X - 42
-10 + 42 = 7X
32 = 7X
X = 32/7
X = 4.57
Answer:
Michael is 38 and Sara is 29
Step-by-step explanation:
Because it says the sum of their age is 47 you do 47-9=38 so that would be Michael's age and than because Sara is 9 years younger than him and then you would do 38-9=29
First, we find the equation of the line...
(1,3),(-3,7)
slope = (7 - 3) / (-3 - 1) = 4/-4 = -1
y = mx + b
slope(m) = -1
use either of ur points.... (1,3)...x = 1 and y = 3
now sub into the formula and find b, the y int
3 = -1(1) + b
3 = -1 + b
3 + 1 = b
4 = b
so the equation for this line is : y = -1x + 4 which is usually written as :
y = -x + 4
Now...to find where the line crosses the x axis (or the x intercept)...we sub in 0 for y and solve for x
y = -x + 4
0 = -x + 4
x = 4... so ur x intercept (where the line crosses the x axis) is : (4,0)
Answer:
point is (13/4 , 17/2)
Step-by-step explanation:
Let (x1,y1) and (x2,y2) be the end points of a line segment, 'A' is the point on the line segment such that A divides the line segment in the ratio p : q then the coordinates of A (x,y) is given by,
x = x1 + p/w(x2 - x1) and y= y1 + p/w(y2 - y1) where w = p+q
It is given that,
Point A is located at (4, 8) and point B is located at (14, 10) .
Let P be the point on AB such that P divides AB in the ratio 1:3
<u>Find the coordinates of P(x,y)</u>
w = 1+3 = 4
x = x1 + p/w(x2 - x1) = 4 + 1/4(14 -4) = 4 + 10/4 =13/4
y= y1 + p/w(y2 - y1) = 8 + 1/4(10 - 8) = 8 + 1/2 = 17/2
point is (13/4 , 17/2)
