Answer:
M = (3, 3.25)
Step-by-step explanation:
First, using the internal selection formula
Given
m:n = 3:5
(x1,y1) =(0,1)
(x2,y2) =(8,7)
![M={[(mx2+nx1)/(m+n)],[(my2+ny1)/(m+n)]}](https://tex.z-dn.net/?f=M%3D%7B%5B%28mx2%2Bnx1%29%2F%28m%2Bn%29%5D%2C%5B%28my2%2Bny1%29%2F%28m%2Bn%29%5D%7D)
M = (3, 3.25)
2.
M is the point on XY that is 3/8 of the way from X to Y.
x-coordinate of M = 0 + (3/8)(8) = 0 + 3 = 3
y-coordinate of M = 1 + (3/8)(6) = 1 + 2.25 = 3.25
So, M = (3, 3.25)
or (3, 3 1/4)
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
(g o f)(5) = g(f(5))
f(5) = 3(5) - 9 = 15 - 9 = 6
g(f(5)) = g(6) = (6)² = 36
Answer: 36
Answer
Step-by-step explanation find the roots of the equation by solving for x
Answer:
y=-2x-4
Step-by-step explanation:
the slope is -2 and the y intercept can just be -4 since the line passes through that point :)
