Answer:
3. 28pm
Step-by-step explanation:
11 43
+3 45
15 28
15.28-12
=3.28
If an employee earns 200 dollars for 14 hours work, that means this person gets approximately 14 dollars and 29 cents per every hour.
Thus, in 35 hours, you can multiply 14.29 by 35 to get about 500 dollars.
In 35 hours, the employee will earn 500 dollars.
hello :<span>
<span>an equation of the circle Center at the
A(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : a = -7 and b = -1 (Center at: A(-7,-1) )
r = AP.... P(8,7)
r² = (AP)²
r² = (8+7)² +(7+1)² =225+64=289 ...... so : r = 17
an equation of the circle that satisfies the stated conditions.
Center at </span></span>A(-7,-1), passing through P(8, 7) is :
(x+7)² +(y+1)² = 289
The point (-15,y ) <span>lies on this circle : (-15+7)² +(y+1)² = 289....(subsct : x= -15)
(y+1)² = 225
(y+1)² = 15²
y+1 = 15 or y+1 = -15
y = 14 or y = -16
you have two points : (-15,14) , (-15, -16)</span>
You can set proportions up 4 ways.
See picture. Sorry you got the wrong answer.
Answer:
The points are: (16.12,0),(-8.12,0).
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:
![x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20%5Cfrac%7B-b%20%2B%20%5Csqrt%7B%5Cbigtriangleup%7D%7D%7B2%2Aa%7D)
![x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%20%5Cfrac%7B-b%20-%20%5Csqrt%7B%5Cbigtriangleup%7D%7D%7B2%2Aa%7D)
![\bigtriangleup = b^{2} - 4ac](https://tex.z-dn.net/?f=%5Cbigtriangleup%20%3D%20b%5E%7B2%7D%20-%204ac)
Distance between two points:
Suppose we have two points,
and
. The distance between them is given by:
![D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Find all points on the x-axis that are 14 units from the point (4, -7).
Being on the x-axis mean that they have y-coordinate equal to 0, so the point is (x,0).
The distance is 14. So
![\sqrt{(x-4)^2+(0-(-7))^2} = 14](https://tex.z-dn.net/?f=%5Csqrt%7B%28x-4%29%5E2%2B%280-%28-7%29%29%5E2%7D%20%3D%2014)
![\sqrt{x^2 - 8x + 16 + 49} = 14](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%20-%208x%20%2B%2016%20%2B%2049%7D%20%3D%2014)
![\sqrt{x^2 - 8x + 65} = 14](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%20-%208x%20%2B%2065%7D%20%3D%2014)
![(\sqrt{x^2 - 8x + 65})^2 = 14^2](https://tex.z-dn.net/?f=%28%5Csqrt%7Bx%5E2%20-%208x%20%2B%2065%7D%29%5E2%20%3D%2014%5E2)
![x^2 - 8x + 65 - 196 = 0](https://tex.z-dn.net/?f=x%5E2%20-%208x%20%2B%2065%20-%20196%20%3D%200)
![x^2 - 8x - 131 = 0](https://tex.z-dn.net/?f=x%5E2%20-%208x%20-%20131%20%3D%200)
So ![a = 1, b = -8, c = -131](https://tex.z-dn.net/?f=a%20%3D%201%2C%20b%20%3D%20-8%2C%20c%20%3D%20-131)
![\bigtriangleup = (-8)^{2} - 4(1)(-131) = 588](https://tex.z-dn.net/?f=%5Cbigtriangleup%20%3D%20%28-8%29%5E%7B2%7D%20-%204%281%29%28-131%29%20%3D%20588)
![x_{1} = \frac{-(-8) + \sqrt{588}}{2} = 16.12](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20%5Cfrac%7B-%28-8%29%20%2B%20%5Csqrt%7B588%7D%7D%7B2%7D%20%3D%2016.12)
![x_{1} = \frac{-(-8) - \sqrt{588}}{2} = -8.12](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20%5Cfrac%7B-%28-8%29%20-%20%5Csqrt%7B588%7D%7D%7B2%7D%20%3D%20-8.12)
The points are: (16.12,0),(-8.12,0).