Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
Answer:
Therefore,
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Step-by-step explanation:
Given:
Let,
point L( x₁ , y₁) ≡ ( -6 , 2)
point M( x₂ , y₂ )≡ (x , 2)
l(AB) = 15 units (distance between points L and M)
To Find:
x = ?
Solution:
Distance formula between Two points is given as
![l(LM)^{2} = (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}](https://tex.z-dn.net/?f=l%28LM%29%5E%7B2%7D%20%3D%20%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D)
Substituting the values we get
![15^{2}=(x--6)^{2}+(2-2)^{2}\\\\225=(x+6)^{2}](https://tex.z-dn.net/?f=15%5E%7B2%7D%3D%28x--6%29%5E%7B2%7D%2B%282-2%29%5E%7B2%7D%5C%5C%5C%5C225%3D%28x%2B6%29%5E%7B2%7D)
Square Rooting we get
![(x+6)=\pm \sqrt{225}=\pm 15\\\\x+6 = 15\ or\ x+6 = -15\\\\x= 9\ or\ x = -21](https://tex.z-dn.net/?f=%28x%2B6%29%3D%5Cpm%20%5Csqrt%7B225%7D%3D%5Cpm%2015%5C%5C%5C%5Cx%2B6%20%3D%2015%5C%20or%5C%20x%2B6%20%3D%20-15%5C%5C%5C%5Cx%3D%209%5C%20or%5C%20x%20%3D%20-21)
As point M is located in the first quadrant
x coordinate and y coordinate are positive
So x = -21 DISCARDED
Hence,
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Therefore,
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
It turns 4 times because 3 x 4 = 7
give thanx plz
Answer:
y = -40x+2600
Step-by-step explanation:
Writing the values as coordinate (m, s)
If after flying for 11 seconds, he is 2160 meters from her, the required coordinate is (11, 2160)
Then at 19 seconds he is 1840 meters, the required coordinate is (19, 1840)
Get the slope;
m = 2160-1840/11-19
m = 320/-8
m = -40
Substitute m = -40 and (11, 2160) into the equations;
y-y0 = m(x-x0)
y -2160 = -40(x-11)
y - 2160 = -40x+440
y = -40x+440 + 2160
y = -40x+2600
Hence the requires equation is y = -40x+2600
If you simplify the expression, you should get 540 m^2 q^2