Answer:
m ≤ 60 (look at the picture)
Step-by-step explanation:
<em>5 greater than m is no more than 65</em>
m + 5 ≤ 65 <em>subtract 5 from both sides</em>
m + 5 - 5 ≤ 65 - 5
m ≤ 60
(15x3) feet ÷ 3 = (5x1) feet = 5 feet
33 feet x 5 feet=165 feet
165 feet ÷ 3 = 55 feet
55 feet÷(33 feet÷3)=55 feet ÷ 11 feet = 5 feet
Ans:
5 + 11 x 5 feet
Work backwards.
Start with z = 4.
Now deal with the middle equation
y + 3z = 11 Substitute z = 4 and solve for y
y + 3(4) = 11 Subtract 12 from both sides
y + 12 = 11
y + 12 - 12 = 11 -12 Combine terms on the left and right
y = - 1 Now use the top equation for x
z = 4 z still = 4
2x + 4(-1) +3(4) = 14
2x - 4 + 12 = 14 Solve 3z
2x + 8 = 14 Subtract 8
2x + 8 - 8 = 14 - 8 Combine
2x = 6 Divide by 2
x = 6/2
x = 3
Answer
x = 3
y = - 1
z = 4
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)
