Answer:
2/9
Step-by-step explanation:
Scale factor = 10/45 = 2/9
9514 1404 393
Explanation:
We can find the slope by solving for y.
3x +2y +7 = 5x +3y +10
-2x -3 = y . . . . . . . . . . . . . add -5x-10-2y to both sides of the equation
In this form, the slope (m) is the coefficient of x, -2. Hence m = -2.
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<em>Alternate solution</em>
A graph of the equation shows it has an x-intercept of -1.5 and a y-intercept of -3. The slope (m) is then "rise" divided by "run", or ...
m = rise/run = -3/1.5
m = -2
Answer:
Jim's current weight = 119 pounds
Step-by-step explanation:
1 Stone = 14 pounds
stone = 1.5 stone
1.5 stone = 1.5 (14 pounds) = 21 pounds
Jim lost 21 pounds
Let X be Jim's Original Weight
Y be his present weight
As per given statement in the Question:
After losing 1.5 stones (21 pounds of weight) Jim now weighs Y
Present weight = original weight - 21
Y = X -21 <u> Equation 1</u>
Also Current Weight = 85 % (Original weight)
Y = 85 % (X) =
Y=
put in Equation 1
= X-21
85X = (X-21) 100
85 X = 100 X -2100
or
2100 = 100 X - 85X
2100 = 15X
or
15 X = 2100

X= 140 pounds ( Original Weight)
Current Weight = Y = Original weight - 21 <u><em>(From Equation 1)</em></u>
Y = X -21
Y = 140 -21
Y = 119 pounds (Current Weight)
<span>points (6,10)
</span>y = -x
x + y = 0
distance = lax1 + by1 + cl/√(a^2 + b^2)
= l1(6) + 1(10) + 0l/√(1^2 + 1^2)
= l6 + 10 + 0l/√(1 + 1)
= l16l/√2
= 16/√2
= 8 .2/√2
= 8 . √2.√2/√2
= 8√2