Answer:
the answer is 10 percent off because that is 13 dollars
Step-by-step explanation:
if you do 130 times 10 it is 1300, then divide by 100 it equals 13 dollars off. if you did the other coupon it would only be 10 dollars off
Answer:
x= 62
y= 54
Step-by-step explanation:
Step one:
given data
let the numbers be x and y and the larger be x the smaller be y
The difference between two numbers is 8
x-y= 8-----------1
If the larger is subtracted from three times the smaller, the difference is 100
3y-x=100------------2
from eqn 1, x= 8+y
put this in eqn 2
3y-(8+y)=100
3y-8-y=100
collect liker terms
3y-y-8=100
2y=108
y= 54
put y= 54 in eqn 1
x-y=8
x-54= 8
x= 8+54
x=62
is strictly increasing on [0, 5], so
![\max\{x^3 \mid 0\le x\le5\} = 5^3 = 125](https://tex.z-dn.net/?f=%5Cmax%5C%7Bx%5E3%20%5Cmid%200%5Cle%20x%5Cle5%5C%7D%20%3D%205%5E3%20%3D%20125)
and
![\min\{x^3 \mid 0 \le x\le5\} = 0^3 = 0](https://tex.z-dn.net/?f=%5Cmin%5C%7Bx%5E3%20%5Cmid%200%20%5Cle%20x%5Cle5%5C%7D%20%3D%200%5E3%20%3D%200)
so the integral is bounded between
![\displaystyle \boxed{0} \le \int_0^5x^3\,dx \le \boxed{125}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cboxed%7B0%7D%20%5Cle%20%5Cint_0%5E5x%5E3%5C%2Cdx%20%5Cle%20%5Cboxed%7B125%7D)
<u>Given</u>:
Four lines are marked proportion, the length of TW can be determined by
![TW=a+4+b](https://tex.z-dn.net/?f=TW%3Da%2B4%2Bb)
<u>Value of a:</u>
Let us set the proportion for the given lines.
Thus, we have;
![\frac{a}{7}=\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B7%7D%3D%5Cfrac%7B4%7D%7B5%7D)
![5a=28](https://tex.z-dn.net/?f=5a%3D28)
![a=5.6](https://tex.z-dn.net/?f=a%3D5.6)
Thus, the value of a is 5.6
<u>Value of b:</u>
Let us set the proportion for the given lines.
Thus, we have;
![\frac{4}{5}=\frac{b}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%3D%5Cfrac%7Bb%7D%7B5%7D)
![20=5b](https://tex.z-dn.net/?f=20%3D5b)
![4=b](https://tex.z-dn.net/?f=4%3Db)
Thus, the value of b is 5.
<u>Length of TW:</u>
The length of TW is given by
![TW=5.6+4+4](https://tex.z-dn.net/?f=TW%3D5.6%2B4%2B4)
![TW=13.6](https://tex.z-dn.net/?f=TW%3D13.6)
Thus, the length of TW is 13.6
Answer:
(x - 10)² + (y + 9)² = 20
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
The radius is the distance from the centre to a point on the circle
To calculate r use the distance formula
r = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (10, - 9) and (x₂, y₂ ) = (12, - 13)
r = ![\sqrt{(12-10)^2+(-13+9)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%2812-10%29%5E2%2B%28-13%2B9%29%5E2%7D)
=
=
, hence
(x - 10)² + (y - (- 9))² = (
)², that is
(x - 10)² + (y + 9)² = 20