(x1,y1) = (-2,7)
m = -5
(x,y) = (a,2)
Forming the equation,
(y-y1) = m(x-x1)
y - 7 = -5[x - (-2)]
y - 7 = -5x - 10
y + 5x = -3
Putting the values of (x,y) we get,
2 + 5a = -3
5a = -5
a = -1
Answer:
1. 3√6 + 10
2. 35 + 7√50
3. 24√2 - 20√6 + 15√3 - 18
4. 17√6 - 38
5. 13√10 - 42
Step-by-step explanation:
The questions are in surd form.
1. (2√2 + √3)(2√3 - √2)
open the parenthesis by multiplying both together .
4√6 + 4 + 6 - √6
3√6 + 10
2. (√5 + 2√10)(3√5 + √10)
15 + √50 + 6√50 + 20
35 + 7√50
3. (4√6 - 3√3)(2√3 - 5)
8√18 - 20√6 - 18 + 15√3
8√9 × 2 - 20√6 - 18 + 15√3
24√2 - 20√6 + 15√3 - 18
4. (6√3 - 5√2)(2√2 - √3)
12√6 - 18 - 20 + 5√6
17√6 - 38
5 (√10 - 3)(4 - 3√10)
4√10 - 30 - 12 + 9√10
13√10 - 42
Answer:
The answer to your question is the letter D. (x - 11)² + (y - 6)² = 72
Step-by-step explanation:
Data
Equation = ?
Center = (11, 6)
Point = (17, 12)
Process
1.- Calculate the length of the radius using the distance between two points formula.
d = 
x1 = 11 y1 = 6
x2 = 17 y2 = 12
-Substitution
d = 
d = 
d = 
d = 
radius =
2.- Write the equation of the formula
(x - 11)² + (y - 6)² = ()²
Result
(x - 11)² + (y - 6)² = 72
Answer:
(a). 
= ![\left[\begin{array}{cc}12&-4\\66&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D12%26-4%5C%5C66%266%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
A = ![\left[\begin{array}{cc}5&-4\\3&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%26-4%5C%5C3%266%5Cend%7Barray%7D%5Cright%5D)
=
= ![\left[\begin{array}{cc}5&12\\3&66\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%2612%5C%5C3%2666%5Cend%7Barray%7D%5Cright%5D)
Answer:
Formula for principal that amounts to $2000 if invested at 4% interest compounded semiannually for 5 years:
P = 2000 x ( 1 + 0.04/2)^(5 x 2)
= 2437.99$
Hope this helps!
:)
