Answer:
![AB = \frac{11}{2}](https://tex.z-dn.net/?f=AB%20%3D%20%20%5Cfrac%7B11%7D%7B2%7D)
Step-by-step explanation:
Given
The above diagram
![AB = 3y + 4](https://tex.z-dn.net/?f=AB%20%3D%203y%20%2B%204)
![AC = 11y](https://tex.z-dn.net/?f=AC%20%3D%2011y)
Required
Determine length AB
Tangents drawn from the same point of a circle are equal;
<em>This implies that</em>
![AB = AC](https://tex.z-dn.net/?f=AB%20%3D%20AC)
Substitute values for AB and AC
![3y + 4 =11y](https://tex.z-dn.net/?f=3y%20%2B%204%20%3D11y)
Subtract 3y from both sides
![3y - 3y + 4 = 11y - 3y](https://tex.z-dn.net/?f=3y%20-%203y%20%2B%204%20%3D%2011y%20-%203y)
![4 = 8y](https://tex.z-dn.net/?f=4%20%3D%208y)
Divide both sides by 8
![\frac{4}{8} = \frac{8y}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B8%7D%20%3D%20%5Cfrac%7B8y%7D%7B8%7D)
![\frac{4}{8} = y](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B8%7D%20%3D%20y)
![\frac{1}{2} = y](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%3D%20y)
Substitute
for y in ![AB = 3y + 4](https://tex.z-dn.net/?f=AB%20%3D%203y%20%2B%204)
![AB = 3 * \frac{1}{2} + 4](https://tex.z-dn.net/?f=AB%20%3D%203%20%2A%20%5Cfrac%7B1%7D%7B2%7D%20%2B%204)
![AB = \frac{3}{2} + 4](https://tex.z-dn.net/?f=AB%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%2B%204)
![AB = \frac{3 + 8}{2}](https://tex.z-dn.net/?f=AB%20%3D%20%20%5Cfrac%7B3%20%2B%208%7D%7B2%7D)
![AB = \frac{11}{2}](https://tex.z-dn.net/?f=AB%20%3D%20%20%5Cfrac%7B11%7D%7B2%7D)
Answer:
The equation would be y = 3/2x + 3
Step-by-step explanation:
First we have to find the slope of the original line. We can do this by solving for y.
2x + 3y = 15
3y = -2x + 15
y = -2/3x + 5
Now that we have the slope of -2/3, we know the slope of the new line will be 3/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use that and a point in point-slope form to find the equation.
y - y1 = m(x - x1)
y + 3 = 3/2(x + 4)
y + 3 = 3/2x + 6
y = 3/2x + 3
I solved the problem, answer is 11.4% as 2500-11.4% is 2215.
1. Observe problem
Solve for the area and Circumference of a circle who's radius is 3 cm
Area for circle formula:
pi*r^2=
9pi
I simplicity is needed, 9 pi is around
28.2743338823cm^2
Circumference for circle formula: 2*pi*r
which is
6pi
if simplicity is again needed, its around
18.8495559215cm
Yes, I do. They are making large transactions without knowing if they will invest anything, and yes, while it is sometimes necessary to take risks, they are not thinking enough about the future and how if they make another mistake everything could go downhill. They also live in the lap of luxury, not cutting out a bit of the money which they w=could be using to repay the debts they owe.